Questions on Algebra: Quadratic Equation answered by real tutors!

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Question 1062561: Given the functions h(x) = 12x + 3 and f(x) = x^2, which value of x makes h(x) = f(x)?
a) 0
b) 1
c) 2
d) 3
Click here to see answer by MathTherapy(10549)

Question 1062615: A rocket on a computer screen has a path modeled by the equation h=-t2+3t+10 where t is time in seconds and h is the height above a platform and is in computer units. Find how long the rocket takes to reach the platform.
Thank you. I would like to know how to obtain the answer. as well as the correct answer if you please.
I sincerely appreciate your assistance.
Click here to see answer by rothauserc(4718)

Question 1062626:
Click here to see answer by Alan3354(69443)

Question 1062732: suppose a parabola has an axis of symmetry at x=-2, a minimum height of -6, and passes through the point (0, 10). What's the equation of the parabola in vertex form?
Click here to see answer by ikleyn(52747)

Question 1062861: If the points on a graph are (6,0),(26,0) and (16,22) will point (11,16) intersect any of them?
Click here to see answer by solver91311(24713)

Question 1062967: How do you write an equation for a parabola opening upward with x intercepts -3 and 4?
Click here to see answer by Alan3354(69443)

Question 1062967: How do you write an equation for a parabola opening upward with x intercepts -3 and 4?
Click here to see answer by stanbon(75887)

Question 1063078: a quadratic function has an equation that can be written in the form f(x)=a(x-r)(x-s). the graph of the function has x-intercepts at (1,0) ans (3,0) and passes through the point (-1, 16). write the equation of the function in factored and then in standard form
Click here to see answer by Alan3354(69443)

Question 1063242: How do you solve a rational expression:
7x+3/x2 - 8X+15 +3x/x-5= 1/3-x
Click here to see answer by stanbon(75887)

Question 1063242: How do you solve a rational expression:
7x+3/x2 - 8X+15 +3x/x-5= 1/3-x
Click here to see answer by MathTherapy(10549)

Question 1063242: How do you solve a rational expression:
7x+3/x2 - 8X+15 +3x/x-5= 1/3-x
Click here to see answer by ikleyn(52747)

Question 1063444: x2+6x+4=0. solve using quadratic equation and graph

Click here to see answer by ikleyn(52747)

Question 1063446: solve by quadratic equation and graph
x2-3x-1=0
Click here to see answer by Boreal(15235)

Question 1063495: A circular pool measures 16 feet across. One cubic yard of concrete is to be used to create a circular border with uniform width around the pool. The border is to have a depth of 4 inches, how wide will the border be? (1 cubic yard=27 cubic feet)
Click here to see answer by ankor@dixie-net.com(22740)

Question 1063516: How do I put (-3,0),(4,0) into a possible standard form equation
Click here to see answer by josgarithmetic(39613)

Question 1063560: Determine if each quadratic equation has real solutions. For questions A-E Choose Yes or No.
A. 12x^2-5=-3
B 2/3 x^2+7=11 (THE x IS NOT IN THE FRACTION, IT IS AFTER :))
C 2(x^2-3)=3(2x^2+1)
D 3x^2-1=8x^2+9
E 4(3x^2-7)=3(x^2-5)
Click here to see answer by Fombitz(32388)

Question 1063562: The area of the rectangle is 68 square meters. What are the width and length of the rectangle ? Give answers both exactly and approximately(to the nearest tenth)
In this problem all it shows is a rectangle with an "x" to the left side and "4x" on the bottom. not sure at all what to do.

Thanks for the help. Have a great day! :)
Click here to see answer by Boreal(15235)

Question 1063634: Projectiles Two projectiles are shot into the air from
the same location. Te paths of the projectiles are
parabolas and are given by
(a) y = 0.0013x^2 + x + 10 and
(b) y = -x^2/81 + 4/3x +10

Click here to see answer by Alan3354(69443)

Question 1063643: The length of the rectangular playground is 2m longer than its breadth.if the area of the playground us 195 sq.m find length and breadth
Click here to see answer by Alan3354(69443)

Question 1063718: The area of a playground is 50 yd^2. The width of the playground is 5 yd longer than its length. Find the length and width of the playground.
Click here to see answer by Alan3354(69443)

Question 1063679: How many solutions exist for the system below?
In two or more complete sentences, give the solution and explain how you solved the system.
Y = -2x + 3
Y = -2 � 3^x
Click here to see answer by ikleyn(52747)

Question 1063890: How many complex roots does the equation below have?
x 6 + x 3 + 1 = 0
Click here to see answer by Edwin McCravy(20054)

Question 1063890: How many complex roots does the equation below have?
x 6 + x 3 + 1 = 0
Click here to see answer by ikleyn(52747)

Question 1063915: The length of a rectangle is
6 centimeters less than its width. What are the dimensions of the rectangle if its area is
91 square centimeters?
Click here to see answer by ikleyn(52747)

Question 1064107: What is the smallest possible value for the product of
2 real numbers that differ by 6?

Click here to see answer by Theo(13342)

Question 1064183: Determine the equation of joint variation. Then solve for the missing value.
x varies directly with y and z.
x = 400 when y = 8 and z = 10.
Find x when y = 10 and z = 12.
Click here to see answer by jim_thompson5910(35256)

Question 1064177: Determine the equation of combined variation. Then solve for the missing value.
x varies directly with y and inversely with z.
x = 5 when y = 10 and z = 5.
Find x when y = 20 and z = 10.
Click here to see answer by stanbon(75887)

Question 1064191: Ken has a rectangular shaped vegetable garden that is 15 feet by 9 feet. He would like to increase the length and width by the same amount, x, so the new garden is twice the current area. Find the value of x to the nearest tenth of a foot.
Click here to see answer by josgarithmetic(39613)

Question 1064247: The function f(x)=-4(x+2)^2+5 is transformed into the function g(x) by the rule g(x)=f(x-5)+7. What are the coordinates of the turning point of g(x)?
Click here to see answer by stanbon(75887)

Question 1064352: how do you factor x squared minus x minus 40?

Click here to see answer by josgarithmetic(39613)

Question 1064359: construct a quadratic equation, if the sum and the product of the roots are 3 and -2 respectively.
Click here to see answer by ikleyn(52747)

Question 1064461: For what value of c will the minimum value of the function f(x)= x^2+2x+c be sqrt(2)?
Click here to see answer by josgarithmetic(39613)

Question 1064461: For what value of c will the minimum value of the function f(x)= x^2+2x+c be sqrt(2)?
Click here to see answer by josmiceli(19441)

Question 1064433: A garden has the shape of a right triangle with one leg 88 meters longer than the other. The hypotenuse is 88 meters less than twice the length of the shorter leg. What is the length of the shorter leg?
Click here to see answer by josgarithmetic(39613)

Question 1064535: 12-5x-3x^2=0
Click here to see answer by stanbon(75887)

Question 1064598: x^2-x-20=0
Click here to see answer by ikleyn(52747)

Question 1064599: the area of a rectangle is 60cm^2. the length is 11cm more than the width. fine the width
Click here to see answer by ikleyn(52747)

Question 1064601: (x+1)^2=9/25
Click here to see answer by manuel219(1)

Question 1064601: (x+1)^2=9/25
Click here to see answer by josgarithmetic(39613)

Question 1064544: determine the factors for the expression h(x) = 32x^2 - 80x + 50 -18y^2. Show your work and describe how you found your answer
Click here to see answer by Fombitz(32388)

Question 1064624: According to this relation the value of Y when X = 5 is? Then teacher gives a table X= 0, 1, 2, 3, 4 than Y=0, 3, 12, 27, 48. We have to add 5 for X and what for Y? please help. We have to show work and answer a multiply choice question which is A=67, B=70, C=73, D=75
Thank you
Click here to see answer by rothauserc(4718)

Question 1064857: If the function g (x) = f (x + 2), how can the graph of the function
g(x) be obtained from the graph of f(x) ?
A. by translating the graph of f(x) two units to the right
B. by translating the graph of f(x) two units to the left
C. by translating the graph of f(x) two units down
D. by translating the graph of f(x) two units up
Click here to see answer by Boreal(15235)

Question 1064865: 8m^2-10m+3=0
Click here to see answer by Alan3354(69443)

Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100, 8101..8145, 8146..8190, 8191..8235, 8236..8280, 8281..8325, 8326..8370, 8371..8415, 8416..8460, 8461..8505, 8506..8550, 8551..8595, 8596..8640, 8641..8685, 8686..8730, 8731..8775, 8776..8820, 8821..8865, 8866..8910, 8911..8955, 8956..9000, 9001..9045, 9046..9090, 9091..9135, 9136..9180, 9181..9225, 9226..9270, 9271..9315, 9316..9360, 9361..9405, 9406..9450, 9451..9495, 9496..9540, 9541..9585, 9586..9630, 9631..9675, 9676..9720, 9721..9765, 9766..9810, 9811..9855, 9856..9900, 9901..9945, 9946..9990, 9991..10035, 10036..10080, 10081..10125, 10126..10170, 10171..10215, 10216..10260, 10261..10305, 10306..10350, 10351..10395, 10396..10440, 10441..10485, 10486..10530, 10531..10575, 10576..10620, 10621..10665, 10666..10710, 10711..10755, 10756..10800, 10801..10845, 10846..10890, 10891..10935, 10936..10980, 10981..11025, 11026..11070, 11071..11115, 11116..11160, 11161..11205, 11206..11250, 11251..11295, 11296..11340, 11341..11385, 11386..11430, 11431..11475, 11476..11520, 11521..11565, 11566..11610, 11611..11655, 11656..11700, 11701..11745, 11746..11790, 11791..11835, 11836..11880, 11881..11925, 11926..11970, 11971..12015, 12016..12060, 12061..12105, 12106..12150, 12151..12195, 12196..12240, 12241..12285, 12286..12330, 12331..12375, 12376..12420, 12421..12465, 12466..12510, 12511..12555, 12556..12600, 12601..12645, 12646..12690, 12691..12735, 12736..12780, 12781..12825, 12826..12870, 12871..12915, 12916..12960, 12961..13005, 13006..13050, 13051..13095, 13096..13140, 13141..13185, 13186..13230, 13231..13275, 13276..13320, 13321..13365, 13366..13410, 13411..13455, 13456..13500, 13501..13545, 13546..13590, 13591..13635, 13636..13680, 13681..13725, 13726..13770, 13771..13815, 13816..13860, 13861..13905, 13906..13950, 13951..13995, 13996..14040, 14041..14085, 14086..14130, 14131..14175, 14176..14220, 14221..14265, 14266..14310, 14311..14355, 14356..14400, 14401..14445, 14446..14490, 14491..14535, 14536..14580, 14581..14625, 14626..14670, 14671..14715, 14716..14760, 14761..14805, 14806..14850, 14851..14895, 14896..14940, 14941..14985, 14986..15030, 15031..15075, 15076..15120, 15121..15165, 15166..15210, 15211..15255, 15256..15300, 15301..15345, 15346..15390, 15391..15435, 15436..15480, 15481..15525, 15526..15570, 15571..15615, 15616..15660, 15661..15705, 15706..15750, 15751..15795, 15796..15840, 15841..15885, 15886..15930, 15931..15975, 15976..16020, 16021..16065, 16066..16110, 16111..16155, 16156..16200, 16201..16245, 16246..16290, 16291..16335, 16336..16380, 16381..16425, 16426..16470, 16471..16515, 16516..16560, 16561..16605, 16606..16650, 16651..16695, 16696..16740, 16741..16785, 16786..16830, 16831..16875, 16876..16920, 16921..16965, 16966..17010, 17011..17055, 17056..17100, 17101..17145, 17146..17190, 17191..17235, 17236..17280, 17281..17325, 17326..17370, 17371..17415, 17416..17460, 17461..17505, 17506..17550, 17551..17595, 17596..17640, 17641..17685, 17686..17730, 17731..17775, 17776..17820, 17821..17865, 17866..17910, 17911..17955, 17956..18000, 18001..18045, 18046..18090, 18091..18135, 18136..18180, 18181..18225, 18226..18270, 18271..18315, 18316..18360, 18361..18405, 18406..18450, 18451..18495, 18496..18540, 18541..18585, 18586..18630, 18631..18675, 18676..18720, 18721..18765, 18766..18810, 18811..18855, 18856..18900, 18901..18945, 18946..18990, 18991..19035, 19036..19080, 19081..19125, 19126..19170, 19171..19215, 19216..19260, 19261..19305, 19306..19350, 19351..19395, 19396..19440, 19441..19485, 19486..19530, 19531..19575, 19576..19620, 19621..19665, 19666..19710, 19711..19755, 19756..19800, 19801..19845, 19846..19890, 19891..19935, 19936..19980, 19981..20025, 20026..20070, 20071..20115, 20116..20160, 20161..20205, 20206..20250, 20251..20295, 20296..20340, 20341..20385, 20386..20430, 20431..20475, 20476..20520, 20521..20565, 20566..20610, 20611..20655, 20656..20700, 20701..20745, 20746..20790, 20791..20835, 20836..20880, 20881..20925, 20926..20970, 20971..21015, 21016..21060, 21061..21105, 21106..21150, 21151..21195, 21196..21240, 21241..21285, 21286..21330, 21331..21375, 21376..21420, 21421..21465, 21466..21510, 21511..21555, 21556..21600, 21601..21645, 21646..21690, 21691..21735, 21736..21780, 21781..21825, 21826..21870, 21871..21915, 21916..21960, 21961..22005, 22006..22050, 22051..22095, 22096..22140, 22141..22185, 22186..22230, 22231..22275, 22276..22320, 22321..22365, 22366..22410, 22411..22455, 22456..22500, 22501..22545, 22546..22590, 22591..22635, 22636..22680, 22681..22725, 22726..22770, 22771..22815, 22816..22860, 22861..22905, 22906..22950, 22951..22995, 22996..23040, 23041..23085, 23086..23130, 23131..23175, 23176..23220, 23221..23265, 23266..23310, 23311..23355, 23356..23400, 23401..23445, 23446..23490, 23491..23535, 23536..23580, 23581..23625, 23626..23670, 23671..23715, 23716..23760, 23761..23805, 23806..23850, 23851..23895, 23896..23940, 23941..23985, 23986..24030, 24031..24075, 24076..24120, 24121..24165, 24166..24210, 24211..24255, 24256..24300, 24301..24345, 24346..24390, 24391..24435, 24436..24480, 24481..24525, 24526..24570, 24571..24615, 24616..24660, 24661..24705, 24706..24750, 24751..24795, 24796..24840, 24841..24885, 24886..24930, 24931..24975, 24976..25020, 25021..25065, 25066..25110, 25111..25155, 25156..25200, 25201..25245, 25246..25290, 25291..25335, 25336..25380, 25381..25425, 25426..25470, 25471..25515, 25516..25560, 25561..25605, 25606..25650, 25651..25695, 25696..25740, 25741..25785, 25786..25830, 25831..25875, 25876..25920, 25921..25965, 25966..26010, 26011..26055, 26056..26100, 26101..26145, 26146..26190, 26191..26235, 26236..26280, 26281..26325, 26326..26370, 26371..26415, 26416..26460, 26461..26505, 26506..26550, 26551..26595, 26596..26640, 26641..26685, 26686..26730, 26731..26775, 26776..26820, 26821..26865, 26866..26910, 26911..26955, 26956..27000, 27001..27045, 27046..27090, 27091..27135, 27136..27180, 27181..27225, 27226..27270, 27271..27315, 27316..27360, 27361..27405, 27406..27450, 27451..27495, 27496..27540, 27541..27585, 27586..27630, 27631..27675, 27676..27720, 27721..27765, 27766..27810, 27811..27855, 27856..27900, 27901..27945, 27946..27990, 27991..28035, 28036..28080, 28081..28125, 28126..28170, 28171..28215, 28216..28260, 28261..28305, 28306..28350, 28351..28395, 28396..28440, 28441..28485, 28486..28530, 28531..28575, 28576..28620, 28621..28665, 28666..28710, 28711..28755, 28756..28800, 28801..28845, 28846..28890, 28891..28935, 28936..28980, 28981..29025, 29026..29070, 29071..29115, 29116..29160, 29161..29205, 29206..29250, 29251..29295, 29296..29340, 29341..29385, 29386..29430, 29431..29475, 29476..29520, 29521..29565, 29566..29610, 29611..29655, 29656..29700, 29701..29745, 29746..29790, 29791..29835, 29836..29880, 29881..29925, 29926..29970, 29971..30015, 30016..30060, 30061..30105, 30106..30150, 30151..30195, 30196..30240