Tutor:

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

---

Recent problems solved by 'Alan3354'

Alan3354 answered: 31509 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 , 28590..28619 , 28620..28649 , 28650..28679 , 28680..28709 , 28710..28739 , 28740..28769 , 28770..28799 , 28800..28829 , 28830..28859 , 28860..28889 , 28890..28919 , 28920..28949 , 28950..28979 , 28980..29009 , 29010..29039 , 29040..29069 , 29070..29099 , 29100..29129 , 29130..29159 , 29160..29189 , 29190..29219 , 29220..29249 , 29250..29279 , 29280..29309 , 29310..29339 , 29340..29369 , 29370..29399 , 29400..29429 , 29430..29459 , 29460..29489 , 29490..29519 , 29520..29549 , 29550..29579 , 29580..29609 , 29610..29639 , 29640..29669 , 29670..29699 , 29700..29729 , 29730..29759 , 29760..29789 , 29790..29819 , 29820..29849 , 29850..29879 , 29880..29909 , 29910..29939 , 29940..29969 , 29970..29999 , 30000..30029 , 30030..30059 , 30060..30089 , 30090..30119 , 30120..30149 , 30150..30179 , 30180..30209 , 30210..30239 , 30240..30269 , 30270..30299 , 30300..30329 , 30330..30359 , 30360..30389 , 30390..30419 , 30420..30449 , 30450..30479 , 30480..30509 , 30510..30539 , 30540..30569 , 30570..30599 , 30600..30629 , 30630..30659 , 30660..30689 , 30690..30719 , 30720..30749 , 30750..30779 , 30780..30809 , 30810..30839 , 30840..30869 , 30870..30899 , 30900..30929 , 30930..30959 , 30960..30989 , 30990..31019 , 31020..31049 , 31050..31079 , 31080..31109 , 31110..31139 , 31140..31169 , 31170..31199 , 31200..31229 , 31230..31259 , 31260..31289 , 31290..31319 , 31320..31349 , 31350..31379 , 31380..31409 , 31410..31439 , 31440..31469 , 31470..31499 , 31500..31529, >>Next

Quadratic_Equations/471134: 2) Solve for x. 5x^2=-19x-12 ___________________________________________________________________________________ 3) f(x)=-(x+2)^2-7 The vertex is: _____ (type an ordered pair) The line of symmetry is x=_____ The maximum and minimum value of f(x) is______ The value, f(-2)=-7 is _____ a)Maximus b)Minimum _______________________________________________________________________________ 4) Solve the formula for the given letter. Assume all variables represents nonnegative numbers. a^2+q^2=g^2,for a Choose the correct value for 1)a –√(g^2-q^2 ) 2)√(g^2-q^2 ) 3)g^2-q^2 ______________________________________________________________________________ 5)Determine the nature of the solutions of the equations. y^2=4/7 y+1/2 Choose the correct answer below: a) The equation has one real solution b) The equation has two real solutions c) The equation has two non-real solutions ______________________________________________________________________________ 7) Find the vertex, the line of symmetry, and the maximum or minimum value of f(x). f(x)=1/3(x+2)^2+3 The vertex is____(type an ordered pair) The line of symmetry is x=_____ What is the maximum/minimum value of f(x)?_____ Is the value, f(-2)=3 a minimum or maximum? a)Maximum b)Minimum ________________________________________________________________________ 8) Determine the nature of the solutions of the equation. x^2-4x+4=0 What does the equations have? a)Two real solutions b)One real solution c)Two non-real solutions _______________________________________________ 9) Give exact and approximate solutions to three decimal places x^2-5x+3=0 The exact solutions are x=____ The approximate solutions to 3 decimal places are x=____ ________________________________________________________________________________ 10) Solve by completing the square. x^2+5/2 x=5 What is the solution? X=_____ __________________________________________________ 11) A farmer decides to enclose a rectangular garden, using the side of a barn as one side of the rectangle. What is the maximum area that the farmer can enclose with 80 ft of fence? What should the dimensions of the garden be to given this area. The maximum area that the farmer can enclose with 80 ft of fence is ___ sq ft. The dimensions of the garden to give this area is 40 ft by ___ ft ___________________________________________________________________________ 12)Find and label the vertex and the line of symmetry. f(x)=-3(x+2)^2 The vertex is _____(type an ordered pair) The equation of the line symmetry is x=____ __________________________________________________________________ 13) Find and label the vertex and the line of symmetry. f(x)=1/4 x^2 The vertex is _____(type an ordered pair) ________________________________________________________________________ 14) The width of a rectangle is 1 ft less the length. The area is 6 ft^2. Find the length and the width. The width is ___ ft The length is ____ft __________________________________________________________ 15)Find the vertex, the line of symmetry, the maximum or minimum value of the quadractic function f(x)=x^2-8x-4 What is the vertex?___(type an ordered pair) What is the equation of the line of symmetry?____ What is the maximum/ minimum of f(x)?_____ Is the value, f(4)=-2 a minimum or maximum? _______________________________________________________________________ 16)A student opens a mathematics book to two facing pages. The product of the page number is 930. Find the page numbers. The first page is___ The second page is ____ ___________________________________________________________________________ 17) Find the vertex, the line of symmetry, the maximum or minimum value of the quadratic function. f(x)=3x^2-6x+6 The vertex is___(type an order pair) Choose the correct line of symmetry below. a)Y=3 b)X=1 c)Y=-3 d)X=-1 The maximum/ minimum of f(x) is_______ Is the value, f(1)=3 a minimum or a maximum?_________ ___________________________________________________________________ 18) Solve 3x^2-7x-13=0 Find the x- intercepts of f(x)= 3x^2-7x-13 What are the solutions? X=______ (type exact answers, using radicals as needed. Express complex numbers in terms of i. Use a comma to separate answers as needed) What are the x- intercepts?_____( Type ordered pairs. Type an exact answer, using radicals as needed. Express complex numbers in terms of i. Use a comma to separate answers as needed) _______________________________________________________________________ 19) What a quadratic equation in the variable x having the given numbers as solution. Type the equation in standard form,ax^2+bx+c=0 Solution:5, only solution. The equation is ___=0 ______________________________________________________________________ 20)Find the vertex, line symmetry, the maximum or minimum value of the quadratic function. f(x)-2x^2+2x+10 The x- coordinate of the vertex is___( type a simplified fraction) The y-coordinate of the vertex is___(type a simplified fraction) The equation of the line symmetry is x=____(Type a simplified fraction) The maximum/ minimum of f(x) is ____(Type a simplified fraction) The value, f(1/2)=21/2 is? a)Maximum b)Minimum _____________________________________________________________ 21) Find the x and y intercepts f(x)=16x^2+8x+1 The y intercept is ___( Type an ordered pair) The x intercept is ___(Type an ordered pair) ___________________________________________________________________ 22)Give exact and approximate solutions to three decimal places. x^2+16x+64=16 What are the exact solution? X=____ (type an exact answer, using radicals as needed. Rationalize all denominators. Express complex numbers in terms of i. Use a comma to separate answers as needed. ___________________________________________________________ 23) Give exact and approximate solution to three decimal places. (x+3)^2=64 What are the exact solutions? X=____(Type an exact answer, using radicals as needed. Rationalize all denominators. Express complex numbers in terms of i. Use comma to separate answers as needed) There are no approximate solutions since the solution are intergers. 1 solutions Answer 323139 by Alan3354(31530)   on 2011-07-17 08:33:36 (Show Source): You can put this solution on YOUR website! 22)Give exact and approximate solutions to three decimal places. x^2+16x+64=16 -------------- Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc) Quadratic equation (in our case ) has the following solutons: For these solutions to exist, the discriminant should not be a negative number. First, we need to compute the discriminant : . Discriminant d=64 is greater than zero. That means that there are two solutions: . Quadratic expression can be factored: Again, the answer is: -4, -12. Here's your graph: ----------------------- It's not likely anyone will do all those for you, unless you show your efforts. Maybe not then, but your chances are better.

Exponential-and-logarithmic-functions/470906: What is rule (ii) in an equation like 8-2x≤ 10? 1 solutions Answer 323078 by Alan3354(31530)   on 2011-07-16 18:56:17 (Show Source): You can put this solution on YOUR website! I don't know. That cannot be calculated or figured out, it has to be "looked up" somewhere. We're not here to look things up, but to help with math problems.

Probability-and-statistics/470935: A teacher asks each student in the class to randomly choose a number from 1 to 60 and write it down. Gloria and Bill each write down a number. What is the probability that both of their choices will be greater that 55? 1 solutions Answer 323075 by Alan3354(31530)   on 2011-07-16 18:51:48 (Show Source): You can put this solution on YOUR website! A teacher asks each student in the class to randomly choose a number from 1 to 60 and write it down. Gloria and Bill each write down a number. What is the probability that both of their choices will be greater that 55? ----------------- The choices greater than 55 are 56, 57, 58, 59 & 60, 5 of them. 5/60 = 1/12 --------- (1/12)*(1/12) = 1/144

test/470995: Graph x=3y^2+8y+12 1 solutions Answer 323072 by Alan3354(31530)   on 2011-07-16 18:49:13 (Show Source): You can put this solution on YOUR website! dl the FREE graph software at http://www.padowan.dk --------------- Use F6 to enter the relationship

test/470991: X=3y^2+8y+12 1 solutions Answer 323071 by Alan3354(31530)   on 2011-07-16 18:47:50 (Show Source): You can put this solution on YOUR website! Do you have a question?

Linear_Algebra/470883: Let "x" be defined as x = x^2 - x for all values of x. If a = a-2, what is the value of "a"? The answer is 3/2, but I do not understand how they got this answer........please help. 1 solutions Answer 323069 by Alan3354(31530)   on 2011-07-16 18:43:45 (Show Source): You can put this solution on YOUR website! Let "x" be defined as x = x^2 - x for all values of x. If a = a-2, what is the value of "a"? -------------- If a = a-2, then 0 = -2 That makes no sense, there's no relation to x.

Finance/470891: calculate 2000 borrowed at 9% to be paid back in 24 months 2000x 9%=180 then what or is this how to start 1 solutions Answer 323067 by Alan3354(31530)   on 2011-07-16 18:41:10 (Show Source): You can put this solution on YOUR website! Calculate what?

Complex_Numbers/470931: How do we calculate the real and imaginary parts of (sqrt3 + i)^100 ? I have tried and my working are as follows: r = sqrt ((sqrt3)^2 + 1^2) = 2 alpha = arctan (1/sqrt3) = pi/6 Z = r (cos alpha + i sin alpha) = 2 (cos pi/6 + i sin pi/6) = 2 e^i(pi/6) (sqrt3 + i)^100 = (2e^i(pi/6)^100 = 2^100 x e^i(100pi/6) = 2^100 x e^i(50pi/3) = ? How do I solve from here ? 1 solutions Answer 323066 by Alan3354(31530)   on 2011-07-16 18:37:43 (Show Source): You can put this solution on YOUR website! duplicate

Linear_Algebra/470978: h(t)= c-(d-4t)^2; At time t=0, an initial height of 6 feet. Until the ball hit the ground, its height in feet after t seconds was given by the function h (at the beginning of problem), in which c and d are positive constants. If the ball reached its maximum height of 106 feet at time t=2.5, what was the height in feet of the ball at t=1 ? The answer is 70, but I do not understand how they came up with this answer....please help! 1 solutions Answer 323041 by Alan3354(31530)   on 2011-07-16 17:22:12 (Show Source): You can put this solution on YOUR website! h(t)= c-(d-4t)^2; At time t=0, an initial height of 6 feet. Until the ball hit the ground, its height in feet after t seconds was given by the function h (at the beginning of problem), in which c and d are positive constants. If the ball reached its maximum height of 106 feet at time t=2.5, what was the height in feet of the ball at t=1 ? ------------------- Solve for c & d ------------------- h(t)= c-(d-4t)^2 h(0) = c - d^2 = 6 h(2.5) = c - (d - 10)^2 = 106 ----------------------- c - d^2 = 6 c = d^2 + 6 -------------- c - (d - 10)^2 = 106 c - d^2 + 20d - 100 = 106 Sub for c d^2+6 - d^2 + 20d = 206 20d = 200 d = 10 -------- c = 106 ------------- h(t) = 106 - (10 - 4t)^2 h(1) = 106 - 6^2 h(1) = 70

Exponential-and-logarithmic-functions/470964: can you break this down for me step by step exsplaing log10 19 1 solutions Answer 323040 by Alan3354(31530)   on 2011-07-16 17:15:31 (Show Source): You can put this solution on YOUR website! Get a calculator. Press 1, 9, log

Complex_Numbers/470932: How do we calculate the real and imaginary parts of (sqrt3 + i)^100 ? I have tried and my working are as follows: r = sqrt ((sqrt3)^2 + 1^2) = 2 alpha = arctan (1/sqrt3) = pi/6 Z = r (cos alpha + i sin alpha) = 2 (cos pi/6 + i sin pi/6) = 2 e^i(pi/6) (sqrt3 + i)^100 = (2e^i(pi/6)^100 = 2^100 x e^i(100pi/6) = 2^100 x e^i(50pi/3) = ? How do I solve from here ? 1 solutions Answer 323031 by Alan3354(31530)   on 2011-07-16 16:13:52 (Show Source): You can put this solution on YOUR website! How do we calculate the real and imaginary parts of (sqrt3 + i)^100 ? I have tried and my working are as follows: r = sqrt ((sqrt3)^2 + 1^2) = 2 alpha = arctan (1/sqrt3) = pi/6 Z = r (cos alpha + i sin alpha) Z = 2 (cos pi/6 + i sin pi/6) For the other 99 roots add 2pi and divide by 600 ---------------------------------- ---------------------------------- = 2 e^i(pi/6) (sqrt3 + i)^100 = (2e^i(pi/6)^100 = 2^100 x e^i(100pi/6) = 2^100 x e^i(50pi/3)

Square-cubic-other-roots/470945: I am to multiply and simplify by factoring the following: cuberty^7 *cubert81y^8 1 solutions Answer 323015 by Alan3354(31530)   on 2011-07-16 14:54:55 (Show Source): You can put this solution on YOUR website! = = = = = ---------------

Polynomials-and-rational-expressions/470948: Multiply and simplify (6y)^3*(6y)^7 1 solutions Answer 323011 by Alan3354(31530)   on 2011-07-16 14:46:36 (Show Source): You can put this solution on YOUR website! Multiply and simplify (6y)^3*(6y)^7 ----------------- = = ------------------ You can pick the one you think is simpler. "Simplified" can be a matter of opinion.

Polynomials-and-rational-expressions/470947: Write the equation of the line passing through (-4, 4) and (8, 7) 1 solutions Answer 323007 by Alan3354(31530)   on 2011-07-16 14:33:36 (Show Source): You can put this solution on YOUR website! Write the equation of the line passing through (-4, 4) and (8, 7) ---------------- Determinants is the best method, if you understand them: ------------ |+x +y +1| |-4 +4 +1| = 0 |+8 +7 +1| The plus signs are for alignment. ------------- x*(4-7) - y*(-4-8) + (-28-32) = 0 -3x + 12y = 60 x - 4y = -20

Polynomials-and-rational-expressions/470924: Use the FOIL method to find the product (4x^6-3)(x^8-9) 1 solutions Answer 323002 by Alan3354(31530)   on 2011-07-16 13:18:23 (Show Source): You can put this solution on YOUR website!

Geometry_Word_Problems/470922: A toy manufacturer needs a piece of plastic in the shape of a right triangle with the longer leg 1 cm more than the shorter leg and the hypotenuse 2 cm more than the shorter leg. How long should the sides of the right triangle be? pls help! thanks, roya 1 solutions Answer 323001 by Alan3354(31530)   on 2011-07-16 13:17:08 (Show Source): You can put this solution on YOUR website! A toy manufacturer needs a piece of plastic in the shape of a right triangle with the longer leg 1 cm more than the shorter leg and the hypotenuse 2 cm more than the shorter leg. How long should the sides of the right triangle be? -------------------- s = shortest leg s + 1 = 2nd leg h = s+2 (hypotenuse) ------- (s-3)*(s+1) = 0 s = -1 Ignore s = 3 ------------- Sides are 3, 4 & 5

Square-cubic-other-roots/470914: solve the equation w=cr -2 for r 1 solutions Answer 323000 by Alan3354(31530)   on 2011-07-16 13:07:47 (Show Source): You can put this solution on YOUR website! solve the equation w=cr -2 for r ------------ w=cr -2 Add 2 w+2 = cr Divide by c

Travel_Word_Problems/174073: Doctor White leaves home to drive to a convention. She is traveling at 55miles/hour. She is 10 miles from home when her husband realizes that she has forgotten her briefcase. How fast will he have to drive to catch her in two hours? 1 solutions Answer 322998 by Alan3354(31530)   on 2011-07-16 12:53:14 (Show Source): You can put this solution on YOUR website! She's 10 miles away. He wants to travel 10 miles in 2 hour = 5 mph relative to his wife 55 + 5 = 60 mph

Square-cubic-other-roots/470917: What is the sixth part of 426 cu cm? 1 solutions Answer 322997 by Alan3354(31530)   on 2011-07-16 12:50:10 (Show Source): You can put this solution on YOUR website! If you mean what's 1/6, it's 71. 426/6 = 71

Sequences-and-series/470826: help,Please! I spend hole week can solve , thank you in advance I need help number 17 and 19 http://assets.openstudy.com/updates/attachments/4e20e91a0b8b4841c1ab5a86-salina-1310781031329-page516.jpg 1 solutions Answer 322996 by Alan3354(31530)   on 2011-07-16 12:46:50 (Show Source): You can put this solution on YOUR website! There's no 17 or 19 shown, it's 52 thru 72.

Linear-equations/470913: solve: for w p=29l=29w 1 solutions Answer 322993 by Alan3354(31530)   on 2011-07-16 12:30:47 (Show Source): You can put this solution on YOUR website! Too many equal signs

Systems-of-equations/470830: Solve the system of equations below: 7x-8y+6z=0 -3x-2y-z=0 -7x-y-z=0 a.(-5c,8c,-8c) b.(0,0,0) c.(-5,-8,8) d.(-8,8,-5) e.(-8c,8c,-5c) 1 solutions Answer 322992 by Alan3354(31530)   on 2011-07-16 12:30:01 (Show Source): You can put this solution on YOUR website! b When all the RHS is zero, the variables are zeroes.

Geometry_Word_Problems/470871: A garden is 4x feet long and 5x feet wide. Write an expression (in simplest form) that represents the area of the garden. 1 solutions Answer 322960 by Alan3354(31530)   on 2011-07-16 07:48:30 (Show Source): You can put this solution on YOUR website! Area = 4*5 Area = 20 sq ft

Distributive-associative-commutative-properties/470775: Here is the original problem: 6(y-1/6)+3(2y-4). I got to the point where it is 12y-1-12. I'm just wondering if the subtraction sign in front of the one makes it a negative one, so insted of the answer being 12y-11 would it be 12y-13? Sorry if my question is long and confusing, I wan't sure how to phrase it. 1 solutions Answer 322918 by Alan3354(31530)   on 2011-07-15 20:18:55 (Show Source): You can put this solution on YOUR website! 6(y-1/6)+3(2y-4) = 6y-1 + 6y-12 = 12y - 13

Exponential-and-logarithmic-functions/470755: 7. Solve the equation below. Please show all of your work. log4 2=5/4-2x 1 solutions Answer 322910 by Alan3354(31530)   on 2011-07-15 18:53:29 (Show Source): You can put this solution on YOUR website! log4 2=5/4-2x Is it (5/4) - 2x ?? or 5/(4-2x) -------------- It's your job to make it clear what the problem is.

Exponential-and-logarithmic-functions/470756: 8. Use properties of logarithms to find the exact value of the expression. 9 elog9 2 please help I'm lost! 1 solutions Answer 322908 by Alan3354(31530)   on 2011-07-15 18:47:54 (Show Source): You can put this solution on YOUR website! I don't know what that means.

Rate-of-work-word-problems/470746: if John paints a house in 6 hours and ted paints a house in 12 hours, how long will it take if they work together? 1 solutions Answer 322905 by Alan3354(31530)   on 2011-07-15 18:32:16 (Show Source): You can put this solution on YOUR website! In 1 hour, John can do 1/6 and Ted can do 1/12. Can you go from there? ------------------- I had a problem similar to this in 8th grade algebra. I worked on it over an entire weekend before I figured out how to do it, and all like it. Has someone showed me how to do it, I would not have had the experience of solving it myself. I think that experience was, at least in part, contributed to my better than average abilities in math, and in figuring things out in general. -------------- It's not about getting the answers.

Equations/470714: "d= r x t" for "r" 1 solutions Answer 322902 by Alan3354(31530)   on 2011-07-15 18:02:49 (Show Source): You can put this solution on YOUR website! "d= r x t" for "r" -------------- Use the asterisk for multiply, x is often used as a variable. d = r*t or d = rt --------------- d = rt Divide by t r = d/t rate = distance/time, eg, miles/hr, or km/hr, or meters/sec

Linear_Equations_And_Systems_Word_Problems/470713: write an equation of a line in standard form: Ax+By=C Given: points(3,2) and (4,9) 1 solutions Answer 322899 by Alan3354(31530)   on 2011-07-15 17:31:25 (Show Source): You can put this solution on YOUR website! write an equation of a line in standard form: Ax+By=C Given: points(3,2) and (4,9) -------------- |x y 1| |3 2 1| = 0 |4 9 1| ---------- x*(2-9) - y*(3-4) + (27-8) = 0 -7x + y + 19 = 0 7x - y = 19

Travel_Word_Problems/470705: light travels at 3.0 x 10 to the 8th power meters/second. A light year is the distance light travels in one year. given that there are 3.15 x 10 to the 7th power seconds in one year,how many meters are in a light year. 1 solutions Answer 322897 by Alan3354(31530)   on 2011-07-15 17:29:11 (Show Source): You can put this solution on YOUR website! light travels at 3.0 x 10 to the 8th power meters/second. A light year is the distance light travels in one year. given that there are 3.15 x 10 to the 7th power seconds in one year,how many meters are in a light year. --------------- 3E8 m/sec * 3.15E7 sec/yr = 9.45E15 m/yr or m/yr --> 9.45*10^15 meters

logarithm/470693: 3) Write log6 (7) = x as an exponential equation. Use your calculator to evaluate x to four decimal places. __________ is the exponential form of the equation. X= __________ 1 solutions Answer 322872 by Alan3354(31530)   on 2011-07-15 15:54:17 (Show Source): You can put this solution on YOUR website! Write log6 (7) = x ----------- ----------- Use your calculator to evaluate x to four decimal places. x = log(7)/log(6) x =~ 1.0860