Questions on Algebra: Quadratic Equation answered by real tutors!

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Question 840844: Estimate the maxima and minima
p(X)= -x^4+ 4x^3-2x^2-x+5
max = y =
min=
Click here to see answer by Fombitz(32388)

Question 840989: What is the implied domain of the function f(x) (square root of 4x-9)/x^2-81? Express answer in interval notation.
Click here to see answer by Fombitz(32388)

Question 840982: Solve the inequality. Express the solution as a graph of the interval, and write it in interval notation.
-42x^2+15x+3≥0
Click here to see answer by ewatrrr(24785)

Question 841056: A certain number of masons can build a wall in 14 days. If the number of masons is doubled, then how many days will be required to build half of the wall?
Click here to see answer by ewatrrr(24785)

Question 841022: 9x4 - 28x2 + 3 = 0

Let y = x2

Click here to see answer by Fombitz(32388)

Question 841104: Consider the following functions.
f(x) =
9 − 6x
, g(x) =
x + 7

(a) Find (f + g)(x), (f − g)(x), (fg)(x), and (f/g)(x).
(f + g)(x) =
(f − g)(x) =
(fg)(x) =
(f/g)(x) =
Click here to see answer by sheldonbbtrocks(115)

Question 841314: given the quadratic equation kx^2 - 24x + (k-7) = 0 has real roots, show that
a) k^2 - 7k - 144 <= 0
b) find the range of values of k satisfying this inequality
Click here to see answer by Fombitz(32388)

Question 841328: Consider the following functions.
f(x) = 3x − 9, g(x) = −x2
(a) Find (f compose g)(x).
Incorrect: Your answer is incorrect.
(b) Find (g compose f)(x).
Incorrect: Your answer is incorrect.
(c) Find (f compose f)(x).

(d) Find (g compose g)(x).

Click here to see answer by Fombitz(32388)

Question 841139: Find the quadratic equation that fits the data points (3,0) (4,2) (5,5)
Click here to see answer by Fombitz(32388)

Question 841562: The height of the object after t seconds is given by the quadratic equation h=16square +64r+80

Click here to see answer by Alan3354(69443)

Question 841614: 3x^2 + 6 3/4 x + 6 3/4 = 1 1/2 x^2 + 2 1/4 x
A) x = (-3 +- 3i)/3
B) x = (3 +- 3i)/2
C) x = (3 +- 6i)/6
D) x = (6 +- 3i)/6
E) x = (6 +- 2i)/3
F) x = (-3 +- 3i)/2

Click here to see answer by richwmiller(17219)

Question 841615: 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
Click here to see answer by ewatrrr(24785)

Question 841643: A quadrilateral has angles of x degrees, 3x degrees, 90 degrees and (x+20) degrees.
a) Write down an equation in x and solve it.
b) What are the sizes of the angles?
Click here to see answer by jim_thompson5910(35256)

Question 841738: Use the quadratic formula to find any x-intercepts of the parabola.

y = 4x^2 − 20x + 5

Click here to see answer by lwsshak3(11628)

Question 841878: Using a quadratic equation (if possible) please solve the following:
The perimeter of a rectangle is 54 meters and its area is 180 sq. meters. Find its length and width.

Click here to see answer by josgarithmetic(39617)

Question 841881: Using a quadratic equation (if possible) please solve the following:
Find the side of a square room such that if its length and its width are each increased by 4 meters, the area is increased by 120 square meters.
Click here to see answer by ewatrrr(24785)

Question 841879: Given that the quadratic equation x^2-2x-m+1=0 has 2 positive real number roots, α and β, determine the range of values of m.
Click here to see answer by ewatrrr(24785)

Question 841877: Determine the range of the values of k at which the quadratic equation 3x^2+8x+2k=0 will have 2 different negative real number solutions.
Click here to see answer by ewatrrr(24785)

Question 841876: Using a quadratic equation (if possible) please solve the following:
The sum of 2 numbers is 48 and their product is 432. Find the numbers.

Click here to see answer by richwmiller(17219)

Question 842018: 2y^2+4xy=x2=^2
Solve for y.
I cannot figure out what to even do here
what could the answer be?
Click here to see answer by Fombitz(32388)

Question 842023: 2y^2+4xy=x^2
Solve for y.
I cannot figure out what to even do here
what could the answer be?
Click here to see answer by Alan3354(69443)

Question 842023: 2y^2+4xy=x^2
Solve for y.
I cannot figure out what to even do here
what could the answer be?
Click here to see answer by jim_thompson5910(35256)

Question 842048: Solve for the roots using the quadratic formula:
4x^2 - 28x + 29
Click here to see answer by Fombitz(32388)

Question 841827: (x-5)squared=81
x=what (what are steps in doing the equation)
Click here to see answer by Fombitz(32388)

Question 842411: convert from standard to vertex form y=x squared plus 6x-3
Click here to see answer by Fombitz(32388)

Question 842426: The volume of a box is a^3-7a^2+2a+40. It's length is a+2. It's width is a-4. What is the height? My original answer was a+2, but that is incorrect.
Click here to see answer by josgarithmetic(39617)

Question 842428: A train travels at a rate of (2x+3) miles per hour. How many miles can it travel at that rate in (x-4) hours?
Click here to see answer by Theo(13342)

Question 842431: Give answer in standard form for complex numbers .
6-i
------
3+i
Click here to see answer by KMST(5328)

Question 842430: (3-5i)(2+6i) give answer in standard form for complex numbers. Please help!!

Click here to see answer by KMST(5328)

Question 842771: 2y-50=0

Click here to see answer by jim_thompson5910(35256)

Question 842990: Find all pairs (a,b) such that 2a+b=12 and ab=3
Click here to see answer by josgarithmetic(39617)

Question 843010: List the a, b and c values, then use the quadratic formula to solve.
Show all wok please!!
a) 3x^2=2x
b) -3x^2+4x=1

Click here to see answer by aulii(13)

Question 842989: If 9n^2-30n+c is a perfect square for all integers n, what is the value of c?
Click here to see answer by josgarithmetic(39617)

Question 842987: Find all values of z such that: z/z-1=z+1/z-2
Click here to see answer by Fombitz(32388)

Question 842997: How many roots does x-7/x-3=3-7/x-3 have?
Click here to see answer by Fombitz(32388)

Question 843140: mandy drove slowly for 3 hours in a rain storm. when the skies cleared, she increased ber speed by 30 mph and drove 4 more hours, completing her 295 mile trip. How fast was she driving in the rain storm?
Click here to see answer by ewatrrr(24785)

Question 843127: Question 842987: Find all values of z such that: z/z-1=z+1/z(-2)
Click here to see answer by ewatrrr(24785)

Question 843128: How many roots does (x)-7/x-3=(3)-7/x-3 have?

Click here to see answer by Fombitz(32388)

Question 843237: y=x^2+2x-3
y=-x^2 -2x+3
Click here to see answer by richard1234(7193)

Question 843378: Suppose you had 140 feet of fence to make a rectangular garden. What are possible dimensions of the garden? What length and width would give you the maximum area?

I know you use the 2L+2W=140
L+W=70, but how do I find the length and width that would give me the maximum area?

Click here to see answer by richard1234(7193)

Question 843442: Please help me to find answer. By simplifying, factoring, and quadratic this is the given: 28-y2=-3y
Click here to see answer by hamsanash1981@gmail.com(151)

Question 843844: How do you find the quadratic formula that displays the path of a ball when it bounces back from a wall? Furthermore, how do you find the quadratic formula for a ball that bounces on multiple walls before landing on the ground?

Click here to see answer by Alan3354(69443)

Question 844058: Find the smallest integral value of c that will produce imaginary roots in the equation: 4x^2-7x+c=0
Click here to see answer by Fombitz(32388)

Question 844078: Simplify: (1-(1/a))/ (1-(1/a^2))
Click here to see answer by Fombitz(32388)

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, 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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