Tutor:

New! Get regular updates about newly solved problems via algebra.com's RSS system.

---

Recent problems solved by 'jim_thompson5910'

jim_thompson5910 answered: 28465 problems
Jump to solutions: 0..29 , 30..59 , 60..89 , 90..119 , 120..149 , 150..179 , 180..209 , 210..239 , 240..269 , 270..299 , 300..329 , 330..359 , 360..389 , 390..419 , 420..449 , 450..479 , 480..509 , 510..539 , 540..569 , 570..599 , 600..629 , 630..659 , 660..689 , 690..719 , 720..749 , 750..779 , 780..809 , 810..839 , 840..869 , 870..899 , 900..929 , 930..959 , 960..989 , 990..1019 , 1020..1049 , 1050..1079 , 1080..1109 , 1110..1139 , 1140..1169 , 1170..1199 , 1200..1229 , 1230..1259 , 1260..1289 , 1290..1319 , 1320..1349 , 1350..1379 , 1380..1409 , 1410..1439 , 1440..1469 , 1470..1499 , 1500..1529 , 1530..1559 , 1560..1589 , 1590..1619 , 1620..1649 , 1650..1679 , 1680..1709 , 1710..1739 , 1740..1769 , 1770..1799 , 1800..1829 , 1830..1859 , 1860..1889 , 1890..1919 , 1920..1949 , 1950..1979 , 1980..2009 , 2010..2039 , 2040..2069 , 2070..2099 , 2100..2129 , 2130..2159 , 2160..2189 , 2190..2219 , 2220..2249 , 2250..2279 , 2280..2309 , 2310..2339 , 2340..2369 , 2370..2399 , 2400..2429 , 2430..2459 , 2460..2489 , 2490..2519 , 2520..2549 , 2550..2579 , 2580..2609 , 2610..2639 , 2640..2669 , 2670..2699 , 2700..2729 , 2730..2759 , 2760..2789 , 2790..2819 , 2820..2849 , 2850..2879 , 2880..2909 , 2910..2939 , 2940..2969 , 2970..2999 , 3000..3029 , 3030..3059 , 3060..3089 , 3090..3119 , 3120..3149 , 3150..3179 , 3180..3209 , 3210..3239 , 3240..3269 , 3270..3299 , 3300..3329 , 3330..3359 , 3360..3389 , 3390..3419 , 3420..3449 , 3450..3479 , 3480..3509 , 3510..3539 , 3540..3569 , 3570..3599 , 3600..3629 , 3630..3659 , 3660..3689 , 3690..3719 , 3720..3749 , 3750..3779 , 3780..3809 , 3810..3839 , 3840..3869 , 3870..3899 , 3900..3929 , 3930..3959 , 3960..3989 , 3990..4019 , 4020..4049 , 4050..4079 , 4080..4109 , 4110..4139 , 4140..4169 , 4170..4199 , 4200..4229 , 4230..4259 , 4260..4289 , 4290..4319 , 4320..4349 , 4350..4379 , 4380..4409 , 4410..4439 , 4440..4469 , 4470..4499 , 4500..4529 , 4530..4559 , 4560..4589 , 4590..4619 , 4620..4649 , 4650..4679 , 4680..4709 , 4710..4739 , 4740..4769 , 4770..4799 , 4800..4829 , 4830..4859 , 4860..4889 , 4890..4919 , 4920..4949 , 4950..4979 , 4980..5009 , 5010..5039 , 5040..5069 , 5070..5099 , 5100..5129 , 5130..5159 , 5160..5189 , 5190..5219 , 5220..5249 , 5250..5279 , 5280..5309 , 5310..5339 , 5340..5369 , 5370..5399 , 5400..5429 , 5430..5459 , 5460..5489 , 5490..5519 , 5520..5549 , 5550..5579 , 5580..5609 , 5610..5639 , 5640..5669 , 5670..5699 , 5700..5729 , 5730..5759 , 5760..5789 , 5790..5819 , 5820..5849 , 5850..5879 , 5880..5909 , 5910..5939 , 5940..5969 , 5970..5999 , 6000..6029 , 6030..6059 , 6060..6089 , 6090..6119 , 6120..6149 , 6150..6179 , 6180..6209 , 6210..6239 , 6240..6269 , 6270..6299 , 6300..6329 , 6330..6359 , 6360..6389 , 6390..6419 , 6420..6449 , 6450..6479 , 6480..6509 , 6510..6539 , 6540..6569 , 6570..6599 , 6600..6629 , 6630..6659 , 6660..6689 , 6690..6719 , 6720..6749 , 6750..6779 , 6780..6809 , 6810..6839 , 6840..6869 , 6870..6899 , 6900..6929 , 6930..6959 , 6960..6989 , 6990..7019 , 7020..7049 , 7050..7079 , 7080..7109 , 7110..7139 , 7140..7169 , 7170..7199 , 7200..7229 , 7230..7259 , 7260..7289 , 7290..7319 , 7320..7349 , 7350..7379 , 7380..7409 , 7410..7439 , 7440..7469 , 7470..7499 , 7500..7529 , 7530..7559 , 7560..7589 , 7590..7619 , 7620..7649 , 7650..7679 , 7680..7709 , 7710..7739 , 7740..7769 , 7770..7799 , 7800..7829 , 7830..7859 , 7860..7889 , 7890..7919 , 7920..7949 , 7950..7979 , 7980..8009 , 8010..8039 , 8040..8069 , 8070..8099 , 8100..8129 , 8130..8159 , 8160..8189 , 8190..8219 , 8220..8249 , 8250..8279 , 8280..8309 , 8310..8339 , 8340..8369 , 8370..8399 , 8400..8429 , 8430..8459 , 8460..8489 , 8490..8519 , 8520..8549 , 8550..8579 , 8580..8609 , 8610..8639 , 8640..8669 , 8670..8699 , 8700..8729 , 8730..8759 , 8760..8789 , 8790..8819 , 8820..8849 , 8850..8879 , 8880..8909 , 8910..8939 , 8940..8969 , 8970..8999 , 9000..9029 , 9030..9059 , 9060..9089 , 9090..9119 , 9120..9149 , 9150..9179 , 9180..9209 , 9210..9239 , 9240..9269 , 9270..9299 , 9300..9329 , 9330..9359 , 9360..9389 , 9390..9419 , 9420..9449 , 9450..9479 , 9480..9509 , 9510..9539 , 9540..9569 , 9570..9599 , 9600..9629 , 9630..9659 , 9660..9689 , 9690..9719 , 9720..9749 , 9750..9779 , 9780..9809 , 9810..9839 , 9840..9869 , 9870..9899 , 9900..9929 , 9930..9959 , 9960..9989 , 9990..10019 , 10020..10049 , 10050..10079 , 10080..10109 , 10110..10139 , 10140..10169 , 10170..10199 , 10200..10229 , 10230..10259 , 10260..10289 , 10290..10319 , 10320..10349 , 10350..10379 , 10380..10409 , 10410..10439 , 10440..10469 , 10470..10499 , 10500..10529 , 10530..10559 , 10560..10589 , 10590..10619 , 10620..10649 , 10650..10679 , 10680..10709 , 10710..10739 , 10740..10769 , 10770..10799 , 10800..10829 , 10830..10859 , 10860..10889 , 10890..10919 , 10920..10949 , 10950..10979 , 10980..11009 , 11010..11039 , 11040..11069 , 11070..11099 , 11100..11129 , 11130..11159 , 11160..11189 , 11190..11219 , 11220..11249 , 11250..11279 , 11280..11309 , 11310..11339 , 11340..11369 , 11370..11399 , 11400..11429 , 11430..11459 , 11460..11489 , 11490..11519 , 11520..11549 , 11550..11579 , 11580..11609 , 11610..11639 , 11640..11669 , 11670..11699 , 11700..11729 , 11730..11759 , 11760..11789 , 11790..11819 , 11820..11849 , 11850..11879 , 11880..11909 , 11910..11939 , 11940..11969 , 11970..11999 , 12000..12029 , 12030..12059 , 12060..12089 , 12090..12119 , 12120..12149 , 12150..12179 , 12180..12209 , 12210..12239 , 12240..12269 , 12270..12299 , 12300..12329 , 12330..12359 , 12360..12389 , 12390..12419 , 12420..12449 , 12450..12479 , 12480..12509 , 12510..12539 , 12540..12569 , 12570..12599 , 12600..12629 , 12630..12659 , 12660..12689 , 12690..12719 , 12720..12749 , 12750..12779 , 12780..12809 , 12810..12839 , 12840..12869 , 12870..12899 , 12900..12929 , 12930..12959 , 12960..12989 , 12990..13019 , 13020..13049 , 13050..13079 , 13080..13109 , 13110..13139 , 13140..13169 , 13170..13199 , 13200..13229 , 13230..13259 , 13260..13289 , 13290..13319 , 13320..13349 , 13350..13379 , 13380..13409 , 13410..13439 , 13440..13469 , 13470..13499 , 13500..13529 , 13530..13559 , 13560..13589 , 13590..13619 , 13620..13649 , 13650..13679 , 13680..13709 , 13710..13739 , 13740..13769 , 13770..13799 , 13800..13829 , 13830..13859 , 13860..13889 , 13890..13919 , 13920..13949 , 13950..13979 , 13980..14009 , 14010..14039 , 14040..14069 , 14070..14099 , 14100..14129 , 14130..14159 , 14160..14189 , 14190..14219 , 14220..14249 , 14250..14279 , 14280..14309 , 14310..14339 , 14340..14369 , 14370..14399 , 14400..14429 , 14430..14459 , 14460..14489 , 14490..14519 , 14520..14549 , 14550..14579 , 14580..14609 , 14610..14639 , 14640..14669 , 14670..14699 , 14700..14729 , 14730..14759 , 14760..14789 , 14790..14819 , 14820..14849 , 14850..14879 , 14880..14909 , 14910..14939 , 14940..14969 , 14970..14999 , 15000..15029 , 15030..15059 , 15060..15089 , 15090..15119 , 15120..15149 , 15150..15179 , 15180..15209 , 15210..15239 , 15240..15269 , 15270..15299 , 15300..15329 , 15330..15359 , 15360..15389 , 15390..15419 , 15420..15449 , 15450..15479 , 15480..15509 , 15510..15539 , 15540..15569 , 15570..15599 , 15600..15629 , 15630..15659 , 15660..15689 , 15690..15719 , 15720..15749 , 15750..15779 , 15780..15809 , 15810..15839 , 15840..15869 , 15870..15899 , 15900..15929 , 15930..15959 , 15960..15989 , 15990..16019 , 16020..16049 , 16050..16079 , 16080..16109 , 16110..16139 , 16140..16169 , 16170..16199 , 16200..16229 , 16230..16259 , 16260..16289 , 16290..16319 , 16320..16349 , 16350..16379 , 16380..16409 , 16410..16439 , 16440..16469 , 16470..16499 , 16500..16529 , 16530..16559 , 16560..16589 , 16590..16619 , 16620..16649 , 16650..16679 , 16680..16709 , 16710..16739 , 16740..16769 , 16770..16799 , 16800..16829 , 16830..16859 , 16860..16889 , 16890..16919 , 16920..16949 , 16950..16979 , 16980..17009 , 17010..17039 , 17040..17069 , 17070..17099 , 17100..17129 , 17130..17159 , 17160..17189 , 17190..17219 , 17220..17249 , 17250..17279 , 17280..17309 , 17310..17339 , 17340..17369 , 17370..17399 , 17400..17429 , 17430..17459 , 17460..17489 , 17490..17519 , 17520..17549 , 17550..17579 , 17580..17609 , 17610..17639 , 17640..17669 , 17670..17699 , 17700..17729 , 17730..17759 , 17760..17789 , 17790..17819 , 17820..17849 , 17850..17879 , 17880..17909 , 17910..17939 , 17940..17969 , 17970..17999 , 18000..18029 , 18030..18059 , 18060..18089 , 18090..18119 , 18120..18149 , 18150..18179 , 18180..18209 , 18210..18239 , 18240..18269 , 18270..18299 , 18300..18329 , 18330..18359 , 18360..18389 , 18390..18419 , 18420..18449 , 18450..18479 , 18480..18509 , 18510..18539 , 18540..18569 , 18570..18599 , 18600..18629 , 18630..18659 , 18660..18689 , 18690..18719 , 18720..18749 , 18750..18779 , 18780..18809 , 18810..18839 , 18840..18869 , 18870..18899 , 18900..18929 , 18930..18959 , 18960..18989 , 18990..19019 , 19020..19049 , 19050..19079 , 19080..19109 , 19110..19139 , 19140..19169 , 19170..19199 , 19200..19229 , 19230..19259 , 19260..19289 , 19290..19319 , 19320..19349 , 19350..19379 , 19380..19409 , 19410..19439 , 19440..19469 , 19470..19499 , 19500..19529 , 19530..19559 , 19560..19589 , 19590..19619 , 19620..19649 , 19650..19679 , 19680..19709 , 19710..19739 , 19740..19769 , 19770..19799 , 19800..19829 , 19830..19859 , 19860..19889 , 19890..19919 , 19920..19949 , 19950..19979 , 19980..20009 , 20010..20039 , 20040..20069 , 20070..20099 , 20100..20129 , 20130..20159 , 20160..20189 , 20190..20219 , 20220..20249 , 20250..20279 , 20280..20309 , 20310..20339 , 20340..20369 , 20370..20399 , 20400..20429 , 20430..20459 , 20460..20489 , 20490..20519 , 20520..20549 , 20550..20579 , 20580..20609 , 20610..20639 , 20640..20669 , 20670..20699 , 20700..20729 , 20730..20759 , 20760..20789 , 20790..20819 , 20820..20849 , 20850..20879 , 20880..20909 , 20910..20939 , 20940..20969 , 20970..20999 , 21000..21029 , 21030..21059 , 21060..21089 , 21090..21119 , 21120..21149 , 21150..21179 , 21180..21209 , 21210..21239 , 21240..21269 , 21270..21299 , 21300..21329 , 21330..21359 , 21360..21389 , 21390..21419 , 21420..21449 , 21450..21479 , 21480..21509 , 21510..21539 , 21540..21569 , 21570..21599 , 21600..21629 , 21630..21659 , 21660..21689 , 21690..21719 , 21720..21749 , 21750..21779 , 21780..21809 , 21810..21839 , 21840..21869 , 21870..21899 , 21900..21929 , 21930..21959 , 21960..21989 , 21990..22019 , 22020..22049 , 22050..22079 , 22080..22109 , 22110..22139 , 22140..22169 , 22170..22199 , 22200..22229 , 22230..22259 , 22260..22289 , 22290..22319 , 22320..22349 , 22350..22379 , 22380..22409 , 22410..22439 , 22440..22469 , 22470..22499 , 22500..22529 , 22530..22559 , 22560..22589 , 22590..22619 , 22620..22649 , 22650..22679 , 22680..22709 , 22710..22739 , 22740..22769 , 22770..22799 , 22800..22829 , 22830..22859 , 22860..22889 , 22890..22919 , 22920..22949 , 22950..22979 , 22980..23009 , 23010..23039 , 23040..23069 , 23070..23099 , 23100..23129 , 23130..23159 , 23160..23189 , 23190..23219 , 23220..23249 , 23250..23279 , 23280..23309 , 23310..23339 , 23340..23369 , 23370..23399 , 23400..23429 , 23430..23459 , 23460..23489 , 23490..23519 , 23520..23549 , 23550..23579 , 23580..23609 , 23610..23639 , 23640..23669 , 23670..23699 , 23700..23729 , 23730..23759 , 23760..23789 , 23790..23819 , 23820..23849 , 23850..23879 , 23880..23909 , 23910..23939 , 23940..23969 , 23970..23999 , 24000..24029 , 24030..24059 , 24060..24089 , 24090..24119 , 24120..24149 , 24150..24179 , 24180..24209 , 24210..24239 , 24240..24269 , 24270..24299 , 24300..24329 , 24330..24359 , 24360..24389 , 24390..24419 , 24420..24449 , 24450..24479 , 24480..24509 , 24510..24539 , 24540..24569 , 24570..24599 , 24600..24629 , 24630..24659 , 24660..24689 , 24690..24719 , 24720..24749 , 24750..24779 , 24780..24809 , 24810..24839 , 24840..24869 , 24870..24899 , 24900..24929 , 24930..24959 , 24960..24989 , 24990..25019 , 25020..25049 , 25050..25079 , 25080..25109 , 25110..25139 , 25140..25169 , 25170..25199 , 25200..25229 , 25230..25259 , 25260..25289 , 25290..25319 , 25320..25349 , 25350..25379 , 25380..25409 , 25410..25439 , 25440..25469 , 25470..25499 , 25500..25529 , 25530..25559 , 25560..25589 , 25590..25619 , 25620..25649 , 25650..25679 , 25680..25709 , 25710..25739 , 25740..25769 , 25770..25799 , 25800..25829 , 25830..25859 , 25860..25889 , 25890..25919 , 25920..25949 , 25950..25979 , 25980..26009 , 26010..26039 , 26040..26069 , 26070..26099 , 26100..26129 , 26130..26159 , 26160..26189 , 26190..26219 , 26220..26249 , 26250..26279 , 26280..26309 , 26310..26339 , 26340..26369 , 26370..26399 , 26400..26429 , 26430..26459 , 26460..26489 , 26490..26519 , 26520..26549 , 26550..26579 , 26580..26609 , 26610..26639 , 26640..26669 , 26670..26699 , 26700..26729 , 26730..26759 , 26760..26789 , 26790..26819 , 26820..26849 , 26850..26879 , 26880..26909 , 26910..26939 , 26940..26969 , 26970..26999 , 27000..27029 , 27030..27059 , 27060..27089 , 27090..27119 , 27120..27149 , 27150..27179 , 27180..27209 , 27210..27239 , 27240..27269 , 27270..27299 , 27300..27329 , 27330..27359 , 27360..27389 , 27390..27419 , 27420..27449 , 27450..27479 , 27480..27509 , 27510..27539 , 27540..27569 , 27570..27599 , 27600..27629 , 27630..27659 , 27660..27689 , 27690..27719 , 27720..27749 , 27750..27779 , 27780..27809 , 27810..27839 , 27840..27869 , 27870..27899 , 27900..27929 , 27930..27959 , 27960..27989 , 27990..28019 , 28020..28049 , 28050..28079 , 28080..28109 , 28110..28139 , 28140..28169 , 28170..28199 , 28200..28229 , 28230..28259 , 28260..28289 , 28290..28319 , 28320..28349 , 28350..28379 , 28380..28409 , 28410..28439 , 28440..28469, >>Next

Equations/536877: -8x - 45 = 2 - 15x 5x over 8 + 14 = 3x over 4 - 38 -3x - 7 = -5x + 8 (-5)(-4)(12)over -9 Please help thank you this counts a lot for my grade. please help i am screwed if i don't get these answered 1 solutions Answer 352648 by jim_thompson5910(28476)   on 2011-11-26 20:02:59 (Show Source): You can put this solution on YOUR website! I'll do the first one to get you started. Start with the given equation. Add to both sides. Add to both sides. Combine like terms on the left side. Combine like terms on the right side. Divide both sides by to isolate . ---------------------------------------------------------------------- Answer: So the solution is If you need more help, email me at jim_thompson5910@hotmail.com Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you Jim

Linear-equations/536148: Write an equation in point-slope form of the line that passes through the points (-5,-4) and (7,-5). 1 solutions Answer 352643 by jim_thompson5910(28476)   on 2011-11-26 20:00:50 (Show Source): You can put this solution on YOUR website! First let's find the slope of the line through the points and Note: is the first point . So this means that and . Also, is the second point . So this means that and . Start with the slope formula. Plug in , , , and Subtract from to get Subtract from to get So the slope of the line that goes through the points and is Now let's use the point slope formula: Start with the point slope formula Plug in , , and Rewrite as Rewrite as So the equation that goes through the points and in point slope form is If you need more help, email me at jim_thompson5910@hotmail.com Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you Jim

Linear-equations/536752: Please help me with this graph. Find the x- and y-intercepts and graph equation plotting intercepts for -5x+9y= -45 1 solutions Answer 352641 by jim_thompson5910(28476)   on 2011-11-26 19:58:59 (Show Source): You can put this solution on YOUR website! x-intercept To find the x-intercept, plug in and solve for x Start with the given equation. Plug in . Multiply and 0 to get 0. Simplify. Divide both sides by to isolate . Reduce. So the x-intercept is . ------------------------------------------ y-intercept To find the y-intercept, plug in and solve for y Start with the given equation. Plug in . Multiply and 0 to get 0. Simplify. Divide both sides by to isolate . Reduce. So the y-intercept is . Now let's plot the points and which are the x and y intercepts respectively. Now draw a straight line through the plotted points to graph . Graph of If you need more help, email me at jim_thompson5910@hotmail.com Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you Jim

Linear-equations/536889: 7x+4y=24 1 solutions Answer 352640 by jim_thompson5910(28476)   on 2011-11-26 19:58:18 (Show Source): You can put this solution on YOUR website! I'm assuming you want to solve for y. Start with the given equation. Subtract from both sides. Rearrange the terms. Divide both sides by to isolate y. Break up the fraction. Reduce. So the equation is now in slope intercept form where the slope is and the y-intercept is note: the y-intercept is the point If you need more help, email me at jim_thompson5910@hotmail.com Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you Jim

Equations/536811: 6a+5a=-11 1 solutions Answer 352584 by jim_thompson5910(28476)   on 2011-11-26 14:11:33 (Show Source): You can put this solution on YOUR website! Start with the given equation. Combine like terms on the left side. Divide both sides by to isolate . Reduce. ---------------------------------------------------------------------- Answer: So the solution is

Proofs/536807: 1.) (K>K) > R 2.) (RvM) > N /N I need to use either AIP or ACP (or both) and the eighteen rules of inference to derive the conclusion. If someone can please help. 1 solutions Answer 352583 by jim_thompson5910(28476)   on 2011-11-26 14:09:15 (Show Source): You can put this solution on YOUR website! Since we have the conclusion N, let's assume for the sake of argument that the opposite is true. In other words, let's assume that the conclusion is ~N. Our job is to show that a contradiction will arise, and if it does, then the opposite of ~N must be true (ie N is really the correct conclusion). 1.) (K > K) > R 2.) (R v M) > N / N ---------------- 3.) ~N AIP 4.) ~(R v M) 2,3 Modus Tollens 5.) ~R & ~M 4 De Morgan's Law 6.) ~R 5 Simplification 7.) ~(K > K) 1,6 Modus Tollens 8.) ~(~K v K) 7 Material Implication 9.) ~~K & ~K 8 De Morgan's Law 10.) K & ~K 9 Double Negation 11.) N 3-10 IP

Polynomials-and-rational-expressions/536804: please help me find the LCD for the fractions: (once again not sure if I'm in the right toppic, but it's the closest thing i can find ) 5/a-5, 6/a+5 (i got -5(a) * 5(a) =- 25 so -25a was my final answer which was crossed out and my teacher asked again for the LCD... HELP!) 1 solutions Answer 352579 by jim_thompson5910(28476)   on 2011-11-26 13:45:15 (Show Source): You can put this solution on YOUR website! The denominators are a-5 and a+5 Since they have nothing in common (except the factor of 1), this means that the LCM of a-5 and a+5 is So the LCD is Optionally, you can FOIL that out, but I don't think it's necessary. If you need more help, email me at jim_thompson5910@hotmail.com Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you Jim

Polynomials-and-rational-expressions/536802: please help me to find the LCD for the fractions: 1/3, 5/12, 7/18 (i came up with : 3*2^2*3^2 = 108 which was incorrect, the teacher marked out my 3, and my 108) 1 solutions Answer 352578 by jim_thompson5910(28476)   on 2011-11-26 13:42:47 (Show Source): You can put this solution on YOUR website! The LCD of the fractions is equal to the LCM of the denominators. The denominators are 3, 12, and 18 So let's list out the prime factorizations of each: 3: 3 ** Note: 3 is prime and there is only one factor (other than 1) 12: 2*2*3 18: 2*3*3 Now highlight the unique and most occurring factors. These factors are 2*2 and 3*3. Multiply them out to get 2*2*3*3 = 4*9 = 36 So the LCM of 3, 12, and 18 is 36. This is the smallest number that all 3 denominators go into evenly. So the LCD of the fractions is 36 If you need more help, email me at jim_thompson5910@hotmail.com Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you Jim

Complex_Numbers/536789: Hey so i'm working on complex numbers in my algebra 2 class and I have not done my homework over all of the thanksgiving break.. hahha. So I need help on refreshing how to do it. So for example would (5-8i)+(7+6i) be 12-2i or -13-26i? Or would (3+3i)-(-8+i) be -5+4i or -27+27i? 1 solutions Answer 352570 by jim_thompson5910(28476)   on 2011-11-26 12:59:54 (Show Source): You can put this solution on YOUR website! (5-8i)+(7+6i) is 12-2i, so your first answer is correct. (3+3i)-(-8+i) is 11+2i, keep in mind that the negative distributes. If you need more help, email me at jim_thompson5910@hotmail.com Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you Jim

Inequalities/536056: solve the inequality 2(x + 6) >= 3x - 2 1 solutions Answer 352499 by jim_thompson5910(28476)   on 2011-11-25 19:56:54 (Show Source): You can put this solution on YOUR website! Start with the given inequality. Distribute. Subtract from both sides. Subtract from both sides. Combine like terms on the left side. Combine like terms on the right side. Divide both sides by to isolate . note: Remember, the inequality sign flips when we divide both sides by a negative number. Reduce. ---------------------------------------------------------------------- Answer: So the solution is If you need more help, email me at jim_thompson5910@hotmail.com Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you Jim

Permutations/536638: A student is asked to answer 9 out of 13 questions on an exam. (a) Classify the problem as a permutation, a combination, or neither. (a)permutation (b)combination (c)neither (b) In how many ways can she select the questions to be answered? 1 solutions Answer 352488 by jim_thompson5910(28476)   on 2011-11-25 19:03:04 (Show Source): You can put this solution on YOUR website! a) This is a combination since the order does not matter. b) There are 13 C 9 = (13!)/(9!(13-9)!) = 715 different ways If you need more help, email me at jim_thompson5910@hotmail.com Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you Jim

Average/536635: A computer is 2280$ but theres a 15% discount, how much do i pay? 1 solutions Answer 352484 by jim_thompson5910(28476)   on 2011-11-25 18:48:54 (Show Source): You can put this solution on YOUR website! 2280 - 15% of 2280 2280 - 0.15*2280 2280 - 342 1938 So the final price (after the discount) is $1938 If you need more help, email me at jim_thompson5910@hotmail.com Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you Jim

expressions/535817: -3(x + 2x^2 + 3x) 1 solutions Answer 352479 by jim_thompson5910(28476)   on 2011-11-25 18:20:59 (Show Source): You can put this solution on YOUR website! -3(x + 2x^2 + 3x) -3(2x^2 + 4x) -6x^2 -12x

Polynomials-and-rational-expressions/536621: please help me simplify: 6x^2 +3x - 18 / 2x+4 1 solutions Answer 352478 by jim_thompson5910(28476)   on 2011-11-25 18:19:32 (Show Source): You can put this solution on YOUR website! Start with the given expression. Factor to get . Factor to get . Highlight the common terms. Cancel out the common terms. Simplify. Distribute. So simplifies to . In other words, If you need more help, email me at jim_thompson5910@hotmail.com Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you Jim

Permutations/536622: A student is asked to answer 9 out of 13 questions on an exam. (a) Classify the problem as a permutation, a combination, or neither. (a)permutation (b)combination (c)neither 1 solutions Answer 352477 by jim_thompson5910(28476)   on 2011-11-25 18:17:13 (Show Source): You can put this solution on YOUR website! Since the order of the questions answer does not matter, this means that this is a combination.

Equations/535065: 8(5x+7)(4x-7)=0 1 solutions Answer 352476 by jim_thompson5910(28476)   on 2011-11-25 18:16:23 (Show Source): You can put this solution on YOUR website! 8(5x+7)(4x-7)=0 5x+7=0 or 4x-7=0 5x=-7 or 4x=7 x=-7/5 or x=7/4

Equations/535182: 6+10x=96x x=? 1 solutions Answer 352474 by jim_thompson5910(28476)   on 2011-11-25 18:15:30 (Show Source): You can put this solution on YOUR website! Start with the given equation. Subtract from both sides. Subtract from both sides. Combine like terms on the left side. Divide both sides by to isolate . Reduce. ---------------------------------------------------------------------- Answer: So the solution is If you need more help, email me at jim_thompson5910@hotmail.com Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you Jim

Equations/536620: Solve 1-m=6-6m for m 1 solutions Answer 352473 by jim_thompson5910(28476)   on 2011-11-25 18:14:04 (Show Source): You can put this solution on YOUR website! Start with the given equation. Subtract from both sides. Add to both sides. Combine like terms on the left side. Combine like terms on the right side. Divide both sides by to isolate . Reduce. ---------------------------------------------------------------------- Answer: So the solution is If you need more help, email me at jim_thompson5910@hotmail.com Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you Jim

Quadratic_Equations/536619: using the quadratic formula x=[-b(+-)sqrt(b^2-4ac)]/2a solve quadratic equation x^2 -5 = 0 1 solutions Answer 352470 by jim_thompson5910(28476)   on 2011-11-25 18:07:58 (Show Source): You can put this solution on YOUR website! Start with the given equation. Notice that the quadratic is in the form of where , , and Let's use the quadratic formula to solve for "x": Start with the quadratic formula Plug in , , and Square to get . Multiply to get Rewrite as Add to to get Multiply and to get . Simplify the square root (note: If you need help with simplifying square roots, check out this solver) Break up the fraction. Reduce. or Break up the expression. So the solutions are or If you need more help, email me at jim_thompson5910@hotmail.com Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you Jim

Linear-equations/536611: Find the x and y intercepts and graph the equation plotting the intercepts. Please show all of your work 4x-7y= -28 1 solutions Answer 352467 by jim_thompson5910(28476)   on 2011-11-25 17:56:14 (Show Source): You can put this solution on YOUR website! x-intercept To find the x-intercept, plug in and solve for x Start with the given equation. Plug in . Multiply and 0 to get 0. Simplify. Divide both sides by to isolate . Reduce. So the x-intercept is . ------------------------------------------ y-intercept To find the y-intercept, plug in and solve for y Start with the given equation. Plug in . Multiply and 0 to get 0. Simplify. Divide both sides by to isolate . Reduce. So the y-intercept is . Now let's plot the points and which are the x and y intercepts respectively. Now draw a straight line through the plotted points to graph . Graph of If you need more help, email me at jim_thompson5910@hotmail.com Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you Jim

Linear-equations/536614: Write the slope-intercept equation for the line that passes through (5, 4) and (7, 8). Please show all of your work. 1 solutions Answer 352466 by jim_thompson5910(28476)   on 2011-11-25 17:55:11 (Show Source): You can put this solution on YOUR website! First let's find the slope of the line through the points and Note: is the first point . So this means that and . Also, is the second point . So this means that and . Start with the slope formula. Plug in , , , and Subtract from to get Subtract from to get Reduce So the slope of the line that goes through the points and is Now let's use the point slope formula: Start with the point slope formula Plug in , , and Distribute Multiply Add 4 to both sides. Combine like terms. Simplify So the equation that goes through the points and is Notice how the graph of goes through the points and . So this visually verifies our answer. Graph of through the points and If you need more help, email me at jim_thompson5910@hotmail.com Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you Jim

Linear-equations/536613: Write the slope-intercept equation for the line with slope 1/3 and y-intercept (0, -6) and graph the line. Please show all of your work. 1 solutions Answer 352465 by jim_thompson5910(28476)   on 2011-11-25 17:54:16 (Show Source): You can put this solution on YOUR website! y = mx+b y = (1/3)x+b -6 = (1/3)(0)+b -6 = 0+b -6 = b b = -6 So the equation is If you need more help, email me at jim_thompson5910@hotmail.com Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you Jim

Equations/536612: Find the slope and y-intercept of the line in the given equation. y= 3/4 x -2 1 solutions Answer 352462 by jim_thompson5910(28476)   on 2011-11-25 17:53:10 (Show Source): You can put this solution on YOUR website! The slope of y = mx+b is m The y-intercept of y = mx+b is (0,b) In the case of , we see that and So the slope is and the y-intercept is (0,-2) If you need more help, email me at jim_thompson5910@hotmail.com Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you Jim

Equations/536607: solve show all wrk 14-9(4-3q)= -5 (q+6) - 7q 1 solutions Answer 352458 by jim_thompson5910(28476)   on 2011-11-25 17:47:22 (Show Source): You can put this solution on YOUR website! Start with the given equation. Distribute. Combine like terms on the left side. Combine like terms on the right side. Add to both sides. Add to both sides. Combine like terms on the left side. Combine like terms on the right side. Divide both sides by to isolate . ---------------------------------------------------------------------- Answer: So the solution is If you need more help, email me at jim_thompson5910@hotmail.com Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you Jim

Inequalities/536608: Write your solution using set builder notation. Please show all of your work. -14x-7 (4-x) <3 (2x-15) 1 solutions Answer 352456 by jim_thompson5910(28476)   on 2011-11-25 17:46:08 (Show Source): You can put this solution on YOUR website! Start with the given inequality. Distribute. Combine like terms on the left side. Add to both sides. Subtract from both sides. Combine like terms on the left side. Combine like terms on the right side. Divide both sides by to isolate . note: Remember, the inequality sign flips when we divide both sides by a negative number. Reduce. ---------------------------------------------------------------------- Answer: So the solution is And the answer in set-builder notation is If you need more help, email me at jim_thompson5910@hotmail.com Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you Jim

Equations/536606: 5c-3bc+b-(-c-b-3bc) simplify show all wrk 1 solutions Answer 352455 by jim_thompson5910(28476)   on 2011-11-25 17:45:16 (Show Source): You can put this solution on YOUR website! 5c-3bc+b-(-c-b-3bc) 5c-3bc+b+c+b+3bc 2b+6c So 5c-3bc+b-(-c-b-3bc) = 2b+6c If you need more help, email me at jim_thompson5910@hotmail.com Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you Jim

Quadratic_Equations/536583: Solve using the Quadratic Formula: x^2 + 4x + 6 = 0 1 solutions Answer 352451 by jim_thompson5910(28476)   on 2011-11-25 16:26:32 (Show Source): You can put this solution on YOUR website! Start with the given equation. Notice that the quadratic is in the form of where , , and Let's use the quadratic formula to solve for "x": Start with the quadratic formula Plug in , , and Square to get . Multiply to get Subtract from to get Multiply and to get . Simplify the square root (note: If you need help with simplifying square roots, check out this solver) Break up the fraction. Reduce. or Break up the expression. So the solutions are or If you need more help, email me at jim_thompson5910@hotmail.com Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you Jim

percentage/536573: 8(v-2) 1 solutions Answer 352449 by jim_thompson5910(28476)   on 2011-11-25 15:48:35 (Show Source): You can put this solution on YOUR website! 8(v-2) = 8(v)-8(2) = 8v - 16 So 8(v-2) = 8v - 16 If you need more help, email me at jim_thompson5910@hotmail.com Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you Jim

Functions/536572: what is the function rule for the graph: x y 1 20 2 16 3 12 4 8 ? 1 solutions Answer 352448 by jim_thompson5910(28476)   on 2011-11-25 15:47:54 (Show Source): You can put this solution on YOUR website! As x increases by 1 each time, y decreases by 4 each time. So the slope is -4/1 = -4, telling us that m = -4 So the equation y = mx+b then becomes y = -4x+b Now, when x = 1, y = 20. Plug this in to get 20 = -4(1)+b and solve for b to get: b = 24 So the equation that models the data is This is a linear equation. Note: alternatively, you can replace 'y' with f(x) to get If you need more help, email me at jim_thompson5910@hotmail.com Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you Jim

Average/536566: If Lucy earns $300 for her first 40 hours of work in a week and then is paid one-and-one-half times her regular rate for any additional hours, how many hours must she work to make $345 in a week? 1 solutions Answer 352441 by jim_thompson5910(28476)   on 2011-11-25 15:10:57 (Show Source): You can put this solution on YOUR website! "If Lucy earns $300 for her first 40 hours of work", then she earns 300/40 = 7.50 dollars an hour. Because she "is paid one-and-one-half times her regular rate for any additional hours", this means that her overtime pay per hour is 1.5*7.5 = 11.25 dollars an hour. ------------------------------------------------------- Now let x = number of overtime hours worked Since she has already earned $300, and wants to earn $345, this means we get the equation Now solve for x So the amount of overtime needed is 4 hours This then means that she must work a total of 44 hours (40 regular hours + 4 overtime hours) to earn $345 If you need more help, email me at jim_thompson5910@hotmail.com Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you Jim

Inequalities/536564: Hi tutors: you've been so helpful with this Algebra. here are 2 similar problems that I need help with to solve using the set builder notation 1) 5x-49 is more than/equal to 6-8(2x+7) and 2) -8-11 (3x+7) is less than/equal to 40x-9) Thanks, and Happy Holidays 1 solutions Answer 352439 by jim_thompson5910(28476)   on 2011-11-25 14:53:21 (Show Source): You can put this solution on YOUR website! Please post questions one at a time. Thank you. # 1 Start with the given inequality. Distribute. Combine like terms on the right side. Add to both sides. Add to both sides. Combine like terms on the left side. Combine like terms on the right side. Divide both sides by to isolate . ---------------------------------------------------------------------- Answer: So the solution is ======================================================= # 2 Start with the given inequality. Distribute. Combine like terms on the left side. Add to both sides. Subtract from both sides. Combine like terms on the left side. Combine like terms on the right side. Divide both sides by to isolate . note: Remember, the inequality sign flips when we divide both sides by a negative number. Reduce. ---------------------------------------------------------------------- Answer: So the solution is If you need more help, email me at jim_thompson5910@hotmail.com Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you Jim