Questions on Algebra: Quadratic Equation answered by real tutors!

Tutors Answer Your Questions about Quadratic Equations (FREE)

Question 788874: A producer of synfuel from coal estimates that the cost C dollars per barrel for a production run of x thousand barrels is given by C = 9x^2 - 180x + 940. How many thousand barrels should be produced each run to keep the cost per barrel at a minimum? What is the minimum cost per barrel of synfuel?
Can you please help me out? Thanks so much in advance:)
Can you also please show the steps it would really help me understand:) Thank-you
Click here to see answer by KMST(5328)

Question 789046: What is the value of x and y in 4y+3x=-3?
Click here to see answer by rothauserc(4718)

Question 789082: 1.) Find the solutions of the equation.

3x^(4/3) + 5x^(2/3) - 2=0

Can someone please help me on this problem and go step by step with this equtaion for me? THANK YOU!
Click here to see answer by Alan3354(69443)

Question 789099: 1.) Find the solutions of the equation.
I already subuted u for x^(2/3) then i got a quadratic equation 3u^2 + 5u - 2=0 and i got u = 1/3 and -2 and i have to sub something back but I do not know what to do now after i got those two answers for u?
3x^(4/3) + 5x^(2/3) - 2=0
Can someone please help me on this problem and go step by step with this equtaion for me? THANK YOU!

Click here to see answer by jim_thompson5910(35256)

Question 789226: 13. At a gourmet nut shop, nuts are sold in bulk. Cashews sell for $1.30 per pound and Macadamia nuts sell for $8.60 per pound. Lee wishes to purchase 5 pounds of mixed nuts by mixing 3.5 pounds of cashews and 1.5 pounds of macadamia. Nuts. What will be the price per pound of the mixture?
Click here to see answer by xinxin(76)

Question 789275: Find vertex: f(x)=x^2-8x+16
Click here to see answer by waynest(281)

Question 789474: How do I figure out the standard form of a quadratic equation?
y = -X^2 +2X + 13
I got -(X-2)^2 + 15 ....but that is wrong..?
Help me find out what I am doing wrong? Thanks!

Click here to see answer by stanbon(75887)

Question 789481: How do I find x-intercepts of a quadratic equation?
Use the quadratic formula to find any x-intercepts of the parabola.
y=40x^2-13x+1

Click here to see answer by Alan3354(69443)

Question 790530: How do you solve -2.3+�=-7.5
Click here to see answer by solver91311(24713)

Question 790664: whats is the minimum or maximum of y=x^2+8x+17
Click here to see answer by lwsshak3(11628)

Question 790891: solve each equation by completing the square b^2 -12b +45 = 10
Click here to see answer by waynest(281)

Question 790572: A girl is 3 years younger than her brother. The product of their ages is 238. Find their ages.
Click here to see answer by KMST(5328)

Question 791188: A spherical tank has a capacity of 350 gallons. Using the fact that 1 gallon is about 0.1337 ft3, find the radius of the tank (to the nearest hundredth of a foot).

Click here to see answer by ankor@dixie-net.com(22740)

Question 791361: I need serious help pleasee~!
-6 2/3 x^2 + 1 1/3 x = 2/3
A x = (-1 +- 10i)/3
Bx = (-1 +- 3i)/10
Cx = (1 +- 3i)/-10
Dx = (-1 +- 3i)/-10
E x = (-1 +- 10i)/-3
F x = (2 +- 3i)/6

-57 3/5 x^2 + 3 3/5 x = -39 3/5 x^2 - 7 1/5 x + 14 2/5
A x = {2 +- i[SQRT(75)}/10
Bx = {3 +- i[SQRT(71)]}/-10
Cx = {-3 +- i[SQRT(57)]}/7
Dx = {-3 +- i[SQRT(71)]}/-10
E x = {-2 +- i[SQRT(75)]}/-7
F x = {2 +- i[SQRT(39)]}/14

-6 2/5 x^2 + 7 1/5 x - 3 1/5 = 0
A x = {-2 +- i[SQRT(13)]}/2
Bx = {-6 +- i[SQRT(47)]}/16
Cx = {9 +- i[SQRT(21)]}/-2
Dx = {7 +- i[SQRT(126)]}/-2
E x = {-9 +- i[SQRT(47)]}/-16
F x = {2 +- i[SQRT(126)]}/-6
*
Click here to see answer by solver91311(24713)

Question 791359: Please help me!!!!
3x^2 + 2 1/2 x = -2
A x = {-5 +- i[SQRT(71)}/12
Bx = {5 +- i[SQRT(71)]}/12
Cx = {-2 +- i[SQRT(12)]}/7
Dx = {2 +- i[SQRT(17)]}/-7
E x = {-3 +- i[SQRT(17)]}/12
F x = {3 +- i[SQRT(71)]}/-12

15. 11x^2 - 5x = -6
A x = {16 +- i[SQRT(329)}/2
Bx = {5 +- i[SQRT(239)]}/-22
Cx = {-5 +- i[SQRT(55)]}/11
Dx = {-6 +- i[SQRT(11)]}/22
E x = {6 +- i[SQRT(330)]}/-22
F x = {5 +- i [SQRT(239)]}/22

30x^2 + 72x = -54
A x = (5 +- 6i)/-5
Bx = (6 +- 3i)/30
Cx = (5 +- -3i)/6
Dx = (-6 +- 3i)/5
E x = (9 +- 6i)/-5
F x = (-9 +- 3i)/-6

*
Click here to see answer by solver91311(24713)

Question 791362: -9x^2 + 3x - 11 = 0
*
Click here to see answer by jim_thompson5910(35256)

Question 791398: can you please show me step by step how to show 2x^2-x-3=0
Click here to see answer by jim_thompson5910(35256)

Question 791446: Hi! im struggling on transformation of functions. (11th grade algebra 2) its very confusing and I need help. for example: "identify each transformation from the parent function f(x)= to g.
the question is... g(x)=3
Click here to see answer by jim_thompson5910(35256)

Question 791629: 5. Use completing the square to rewrite the following equation in transformational form: y = x2 - 12x + 7
A. y = (x+6)2 + 43
B. y = (x-6)2 + 43
C. y = (x+6)2 - 29
D. y = (x-6)2 - 29
Click here to see answer by Cromlix(4381)

Question 791628: 4. Use completing the square to rewrite the following equation in transformational form: y = x2 + 8x - 12
A. y = (x-4)2 - 28
B. y = (x+4)2 - 28
C. y = (x+4)2 + 4
D. y = (x-4)2 + 4
Click here to see answer by Cromlix(4381)

Question 791624: 1.
Rewrite the following quadratic equation in standard form: y = (x + 3)2 - 11
A. y = x - 2
B. y = 7x - 2
C. y = x2 + 6x + 20
D. y = x2 + 6x - 2
Click here to see answer by Cromlix(4381)

Question 791625: 2. Find the vertex of the graph of the following equation: y = (x + 5)2 - 2
A. (-5, -2)
B. (5, -2)
C. (5, 2)
D. (-5, 2)
Click here to see answer by Cromlix(4381)

Question 791766: -x^2 - x + 6 < 0
A x < -3 or x > 2
B-3 < x < 2
Cx < -2 or x > 3
D-2 < x < 3
E -3 < x < -2
F for all x
Click here to see answer by solver91311(24713)

Question 791771: help a girl out!!
f(x) = 15x^3 + 13x^2 - 15x + 15
g(x) = 15x + 11
find g(f(9))
A 639
B-5943226
C-52466
D-6288203
E 178031
F -4595

Click here to see answer by solver91311(24713)

Question 791771: help a girl out!!
f(x) = 15x^3 + 13x^2 - 15x + 15
g(x) = 15x + 11
find g(f(9))
A 639
B-5943226
C-52466
D-6288203
E 178031
F -4595

Click here to see answer by MathLover1(20849)

Question 791776: would really appreciate it!
Suppose we have a pendulum that is �y� feet long. Our pendulum makes one complete swing in �t� seconds. Assume �y� and �t� are related by the formula y = .9 t2. If the pendulum is less than 4 feet long, what is the range of values for �t�?
A -2.11 < t < 2.11
B-5 < t < 5
C0 < t < 5
D9 < t
E 0 <= t < .9
F 0 <= t < 2.11

Click here to see answer by solver91311(24713)

Question 791770: I dont know how to get these? I only know f(x) 's? help me please!

f(x) = 15x - 12
g(x) = -15x2 + 14x - 10
find g(g(7))
A -6288203
B6543
C639
D-4595
E 538
F -162,632

. f(x) = -13x2 + 12x + 14 g(x) = 11x - 13
find f(g(7))
A -162,632
B-6288203
C639
D-4595
E 538
F -52466

f(x) = 11x + 15
g(x) = -11x3 - 15x2 + 13x - 13
find g(f(6))
A -4595
B-52466
C-6288203
D-5943226
E 639
F 538
Click here to see answer by MathLover1(20849)

Question 791933: Solve the quadratic equation by extracting square roots. List both the exact solution and its approximation rounded to two decimal places. (Enter your answers as a comma-separated list.)

x2 = 196

What is the approximation number be?
Click here to see answer by jim_thompson5910(35256)

Question 792016: 7. Find the vertex of the graph of the following equation: y = x^2 + 8x -12.
A. (4, -28)
B. (-4, -28)
C. (-4, 4)
D. (4, 4)
Click here to see answer by waynest(281)

Question 792012: 8.
Use the following equation to answer the following question.
y = x^2 - 2x - 15
What is the equation of the axis of symmetry?
A. x = -1
B. x = 1
C. y = -1
D. y = 1
Click here to see answer by waynest(281)

Question 792126: Please help me solve this equation in standard form of the parabola passing through the points: (1,-2), (2,-4), (3,-4)
Click here to see answer by josgarithmetic(39616)

Question 792864: Given the equation x� +6x = 8, what is the value of (b � 2)�?
A. 16
B. 6
C. 9
D. 8
Click here to see answer by stanbon(75887)

Question 792874: Two numbers have a difference of 9 and their product in a minimum. Determine the numbers.
Click here to see answer by stanbon(75887)

Question 792999: Find all positive integral values of "k" for which the trinomial can be factored.
A.) y^2+8y+k
B.)z^2+7z+k
Click here to see answer by Edwin McCravy(20054)

Question 793004: you have to make a square-bottomed, unlidded box with a height of three inches and a volume of approximately 42 cubic inches. You will be taking a piece of cardboard, cutting corners, and folding up the edges. What should be the dimensions of the cardboard, to the nearest quarter inch?

Click here to see answer by Edwin McCravy(20054)

Question 793472: -7+9m=m-15, then teh value of me is
Click here to see answer by jim_thompson5910(35256)

Question 793676: y=2x^2-9x-5 how do I find the 0 of the function.
Thanks in advance...
Click here to see answer by waynest(281)

Question 794118: I have to solve this equation by factoring.
3x^2-6x=24
could you show me how to do this problem?
Click here to see answer by waynest(281)

Question 794816: You have 200 feet of fencing to enclose a rectangular plot that borders on a river. If you do not fence the side along the river, find the length and width of the plot that will maximize the area. What is the largest area that can be enclosed?
Quadratic functions
Click here to see answer by Cromlix(4381)

Question 794942: Find the axis symmetry of g(x)=(x-1)^2.
Click here to see answer by waynest(281)

Question 795063: Find the vertex of each equation ! PLEASE HELP SOMEONE !!!
1. h(x) = (x + 2)2 � 1
2. h(x) = (x + 1)2 � 2
3. h(x) = (x - 2)2 - 1
4. h(x) = (x - 1)2 � 2
5. h(x) = (x + 2)2 + 1
6. h(x) = (x + 1)2 + 2

Click here to see answer by KMST(5328)

Question 795290: Identify the line of symmetry, the vertex, the y - intercept, and the x - intercept
f(x) = x^2 - 10x + 9
PLEASE HELP !!!
Click here to see answer by Cromlix(4381)

Question 795289: Identify the line of symmetry, the vertex, the y - intercept, and the x - intercept
f(x) = x^2 - 10x + 9
Click here to see answer by Cromlix(4381)

Question 795405: Find the midpoint of the line segment with endpoints (-5,-2) and (7,6).
Click here to see answer by stanbon(75887)

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