New!
Get regular updates about newly solved problems
via algebra.com's RSS system.
Recent problems solved by 'jim_thompson5910'
jim_thompson5910 answered: 28583 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 , 28470..28499 , 28500..28529 , 28530..28559 , 28560..28589, >>Next
Linear-equations/269085: please help my solve this equation
this is what my homework said
find the intercepts of the equations graph.then graph the equation on the given coordinate grid.
2x+ y=-2
and then it has a x and y graph
Thanks a lot
1 solutions
Answer 197221 by jim_thompson5910(28595)   on 2010-02-13 01:15:36 (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 .
Simplify.
 Multiply.
 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.
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
|
Complex_Numbers/269096: how do you do i+(11-5i)
write the expression as a complex number in standard form.
i am not sure but i think you do
-i to the -5i
so you get (11-6i)?
am i correct? or if i am wrong please show me how to please?
1 solutions
Answer 197220 by jim_thompson5910(28595) on 2010-02-13 01:14:38 (Show Source):
|
Square-cubic-other-roots/268985: Need some help with these problems:
1. Simplify by taking roots of the numerator and the denominator
3
I dont know if I did it right but the problem is a radical with a degree of 3.
thanks
1 solutions
Answer 197124 by jim_thompson5910(28595) on 2010-02-12 16:09:50 (Show Source):
You can put this solution on YOUR website! Start with the given expression.
 Break up the root.
 Rewrite 729 as 
 Factor  to get 
 Break up the root in the numerator.
 Evaluate the cube roots of ,  and  to get 9, 'x', and 'y'.
 Multiply
So  where 
|
Coordinate-system/268904: Write a slope-intercept equation for a line with the given circumstances.
Passes through (-3,7) and (-1,-5)
1 solutions
Answer 197091 by jim_thompson5910(28595) on 2010-02-12 15:16:23 (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
 Rewrite  as 
 Distribute
 Multiply
 Add 7 to both sides.
 Combine like terms.
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
|
Graphs/268615: The following needs to be solved by graphing:
4x+y=6
y=-4x-1
I also need to know if the lines have no solution or infinitely many solutions.
I got the coordinates (0,6) and (0,-1).When graphed, i got parallel lines so I believe it has no solution. Please check to see if this is correct for me.
1 solutions
Answer 196854 by jim_thompson5910(28595) on 2010-02-11 18:08:02 (Show Source):
|
Linear-equations/268627: y=4x-5 graph this linear equation, i dont understand how to do this
1 solutions
Answer 196853 by jim_thompson5910(28595) on 2010-02-11 18:06:54 (Show Source):
You can put this solution on YOUR website!
Looking at  we can see that the equation is in slope-intercept form  where the slope is  and the y-intercept is 
Since this tells us that the y-intercept is ) .Remember the y-intercept is the point where the graph intersects with the y-axis
So we have one point
Now since the slope is comprised of the "rise" over the "run" this means
Also, because the slope is  , this means:
which shows us that the rise is 4 and the run is 1. This means that to go from point to point, we can go up 4 and over 1
So starting at , go up 4 units
and to the right 1 unit to get to the next point )
Now draw a line through these points to graph
 So this is the graph of through the points and
|
Miscellaneous_Word_Problems/268091: bayside insurance offers two health plans. Under plan A you would pay the first $100 of a bill plus 30% of the remainder. Under plan B you would pay the first $150 of a bill but only 20% of the remainder. For which plan would you save more money? Assume there are over $150 in bills.
You would save more with plan B if you had over $_______ in bills.
1 solutions
Answer 196567 by jim_thompson5910(28595) on 2010-02-10 13:57:30 (Show Source):
|
Average/268087: Solve for x, in interval notation: x^2-3/x-3 > or = 1/x-3. I came up with [-2,2]U[3,infinity). The quiz said it should be [-2,2]U(3,infinity). I think the book is wrong. If not, why wouldn't 3 be the = part?
1 solutions
Answer 196565 by jim_thompson5910(28595) on 2010-02-10 13:53:06 (Show Source):
You can put this solution on YOUR website!Simple reason: you CANNOT divide by zero. If  , then the denominator  which is a violation of this rule. So that's why 3 was excluded from the solution set.
|
Numbers_Word_Problems/268069: Five times a number is the same as 30 more than 8 times the number. Find the number.
If n is "the number," which equation could be used to solve for the number?
3n = 30
1 solutions
Answer 196554 by jim_thompson5910(28595) on 2010-02-10 12:54:52 (Show Source):
You can put this solution on YOUR website!Translation:
Five times a number ---> '5n'
is the same as ---> '='
30 more than ---> '30+
8 times the number ---> '8n'
So altogether, "Five times a number is the same as 30 more than 8 times the number. Find the number" translates to  . I'll let you solve for 'n' to find the number.
|
Linear-systems/268057: how would I understand the the linear systems of by substutition. I am so confused bout that.The most confusing questions for me are for example:y=x-4 3x+2y=7
1 solutions
Answer 196548 by jim_thompson5910(28595) on 2010-02-10 12:29:17 (Show Source):
You can put this solution on YOUR website!Here's the basic idea:
Step 1) Pick an equation and a variable to solve for. In this case, we're given  which is already solved for 'y' (ie 'y' is isolated on one side). So we don't have to do this step.
Step 2) Move onto the other equation and plug in . In other words, replace each 'y' term with 'x-4'. Doing this gets you  . From here, we have a simple linear equation.
Step 3) Since you have a simple linear equation with one variable, you can easily solve for that variable (if a solution exists).
Step 4) Once you have a solution in terms of 'x', plug that value into to find the solution in terms of 'y'.
|
Rational-functions/267977: X and Y are integers. Find the domain of the relation and draw it's graph. Is the relation a function?
{(x,y): |x|=|y| and |y|≤ 2}
Please Please help me.I'm begging.
Thank You!
1 solutions
Answer 196547 by jim_thompson5910(28595) on 2010-02-10 12:18:29 (Show Source):
You can put this solution on YOUR website!Because  and  , this means that  as well. Why? Well say (a value greater than 2), then  which would mean that  also. But this is a clear violation of the statement .
Since , this means that the only allowable "input" are values of that satisfy the inequality since this is basically the conditions imposed on 'x'. Solve this inequality to get 
So the domain is which in interval notation is 
Now take and solve for 'y' to get  or  . These equations are simply lines.
Now draw a vertical line through any random point on the circle. Does this line cut through more than one point? Barring one exception, the answer will be 'yes'. Since this is the case, the relation fails the vertical line test which means that this relation is NOT a function.
|
Distributive-associative-commutative-properties/268042: It's been 5 years since I've done algebra and looking mostly for a refresher.
the product of 3 less than twice x and 2 more than the quantity 3 times x?
1 solutions
Answer 196544 by jim_thompson5910(28595) on 2010-02-10 12:02:41 (Show Source):
You can put this solution on YOUR website!"the product of" tells you to multiply. Eg: "The product of 2 and 3" ---> 2*3=6
"3 less than twice x" translates to  and "2 more than the quantity 3 times x" becomes 
Since we want the "product of" these two separate expressions, this means that "the product of 3 less than twice x and 2 more than the quantity 3 times x" completely translates to  (ie just multiply the two expressions).
That's just the translation, you might have to expand/FOIL it out. I'll let you do that (if you need to). Let me know if you need help with that.
|
logarithm/267996: Evaluate the logarithmic equation for three values of x that are greater than 1, three values of x that are between 0 and 1, and at x=1. Show your work. Use the resulting ordered pairs to plot the graph; submit the graph via the Dropbox. State the equation of the line asymptotic to the graph (if any).
y=log^4(x)+4
I am lost with this.
1 solutions
Answer 196540 by jim_thompson5910(28595) on 2010-02-10 11:56:20 (Show Source):
You can put this solution on YOUR website!You'll need a calculator for this problem.
When they say "Evaluate the logarithmic equation...", they simply mean plug in some number in for 'x' and use a calculator to find the result. For example, to evaluate the logarithm for x=1, plug in x=1 to get  . You would type in "log(1)/log(4)+4" (without quotes) into your calculator. So when  , then  giving you the point (1,4). Use this idea to find the other points. Once you have enough points, plot them on a grid and draw a curve through them to graph 
|
Equations/268044: Find an equation of the line containing the given par of points
(2,4) and (6,5)
1 solutions
Answer 196538 by jim_thompson5910(28595) on 2010-02-10 11:51:23 (Show Source):
You can put this solution on YOUR website!
| Solved by pluggable solver: Finding the Equation of a Line |
First lets find the slope through the points (,) and ( , )
Start with the slope formula (note: ( , ) is the first point (,) and ( , ) is the second point (,))
 Plug in  , , , (these are the coordinates of given points)
 Subtract the terms in the numerator  to get  . Subtract the terms in the denominator  to get
So the slope is
------------------------------------------------
Now let's use the point-slope formula to find the equation of the line:
------Point-Slope Formula------
where  is the slope, and (,) is one of the given points
So lets use the Point-Slope Formula to find the equation of the line
 Plug in , , and (these values are given)
 Distribute 
 Multiply and  to get  . Now reduce to get 
 Add to both sides to isolate y
 Combine like terms and to get  (note: if you need help with combining fractions, check out this solver)
------------------------------------------------------------------------------------------------------------
Answer:
So the equation of the line which goes through the points (,) and (,) is:
The equation is now in form (which is slope-intercept form) where the slope is and the y-intercept is 
Notice if we graph the equation and plot the points (,) and (,), we get this: (note: if you need help with graphing, check out this solver)
 Graph of through the points (,) and (,)
Notice how the two points lie on the line. This graphically verifies our answer.
|
|
Linear-equations/268049: 1. Read the examples in the lesson and work them out on paper. Pay particular attention to the steps and the corresponding algebraic properties.
2. Work the following problems in a Word document. Be sure to show each step for solving the equations. Showing the work is required for this assignment. Please work hard to understand each problem and contact your instructor if you are having trouble with the material. Save your work and submit it to the Dropbox “Project 01.08.”
5x + 1 = 21
2x = 5x -12
4 - (2x - 9)= -19
-3(2x + 1) = 2(x - 2)
-6x + 3 - 2x = 3 - 8x
1 solutions
Answer 196537 by jim_thompson5910(28595) on 2010-02-10 11:49:28 (Show Source):
You can put this solution on YOUR website!We don't mind helping you, but it looks as if you just copied and pasted your entire assignment here. Did you have specific questions about anything?
|
Miscellaneous_Word_Problems/267735: I would like to know if you could please help me. Thank you for your time and help.
Lottery winnings in a certain state will be distributed over a three day period, with the number of winners each day increasing by 2. If the lottery will distribute 27 prizes, how many will be awarded each day?
Our teacher said to fill each of these steps when trying to solve the given problem.
1) Write down what you know
2) What am I trying to find?
3) Make a table with the given/not given information
4) Write an algebraic equation relating the information and solve
5) Make sure your answer makes sense (no negatives)
1 solutions
Answer 196406 by jim_thompson5910(28595) on 2010-02-09 18:28:33 (Show Source):
You can put this solution on YOUR website!Let x = number of people who win on day 1
So on day 2, there are  winners (since "the number of winners each day increasing by 2") and on day 3 there are  winners.
To recap, on day 1, there are 'x' winners. On day 2, there are winners. Finally, on day 3, there are  winners. Over the course of three days, there are  winners (just add up the individual winner counts). Simplify to get  . So over the course of 3 days, there are winners. But since we know that " the lottery will distribute 27 prizes" over the course of 3 days, this means that  . From here, simply solve for 'x'. Once you have 'x', you can find 'x+2' and 'x+4'.
|
Conjunction/267283: If p is a true statement and q is a false statement then find the truth value of q^(p^q)
1 solutions
Answer 196196 by jim_thompson5910(28595) on 2010-02-08 18:29:31 (Show Source):
You can put this solution on YOUR website!Hint: recall that p ^ q is only true if BOTH p AND q are true. Otherwise, p ^ q is false. To get you started, since p is true, but q is false, we know that p ^ q is false (since q is false). I'll let you continue.
|
|
