Questions on Algebra: Quadratic Equation answered by real tutors!

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> Questions on Algebra: Quadratic Equation answered by real tutors!      Log On


   



Tutors Answer Your Questions about Quadratic Equations (FREE)


Question 930645: 4. A model for a company's revenue from selling a software package is R = -2.5p2 + 500p, where p is the price in dollars of the software.
a. What price will maximize the revenue? Give a reason for your answer.
b. What is the maximum revenue? Give a reason for your answer.

Click here to see answer by ewatrrr(24785) About Me 

Question 930778: Please show me step by step how to find the solution(s) for the following equation:
x^2 +10x+24=3

Click here to see answer by josgarithmetic(39616) About Me 

Question 930992: The height h (in feet) of a punted football can be modeled by the quadratic function
h(x)=-0.01x^2 + 1.18x +1.19
where x (in feet) is the horizontal distance from the point of impact of the
punter’s foot. Determine the maximum height of the football (to the nearest foot).

Click here to see answer by TimothyLamb(4379) About Me 

Question 930999: A cubic polynomial function f(x) has leading coefficient -2 and intercepts the y-axis at 2.If f(1)=1, and f(-2) =-2, find f(-1) and write the complete function.

Click here to see answer by MathLover1(20849) About Me 

Question 930675: Given: y = x^2 + 2x +6
Determine the zeros of the function. Give an algebraic reason for the existence or nonexistence of real-valued zeros.

Click here to see answer by richard1234(7193) About Me 

Question 931114: how to factor 5x^3 -75x
Click here to see answer by Edwin McCravy(20054) About Me 

Question 931291: find the equation 3x+8y-7=0 find the missing coordinate of the ordered pair so that it is a solution. (?,5)
Click here to see answer by MathLover1(20849) About Me 

Question 931304: On this question, it wants me to drag and drop tiles to match the ordered pairs. The tile choices are:
3x+2y=6
-5x+y=-10
x-4y=8
-6x-5y=30
and the ordered pairs we're matching it to are:
(0,6)
(0,3)
(4,-1)
(1,-5)

Click here to see answer by Alan3354(69443) About Me 

Question 931350: nick has a beutiful rectangular garden, which measure 3m by 3m. he wants to create a uniform border of river rocks around three sides of his garden. if he wants the area of the border and the area of his garden to be equal how wide should the border be?
Click here to see answer by josgarithmetic(39616) About Me 

Question 931540: How do I solve this word problem? Using the formula a^2+b^2=c^2
You're locked out of your house and the only open window is on the second floor, 26 feet above the ground. You need to borrow a ladder from one of your neighbors. There's a rose garden along the edge of the house, so you'll have to place the ladder 9 feet from the house. What length of ladder do you need to reach the window?
I have attempted to solve but I am stuck with 26^2+9^2=c^2 =676+81=757 Do I square 757?
Please help...thanks in advance
Aloha Michellee

Click here to see answer by KMST(5328) About Me 

Question 931663: 100=a^2+ 7^2
Click here to see answer by Fombitz(32388) About Me 

Question 931827: Solve the following equation by identifying all of its roots including any imaginary numbers. In your final answer, include the necessary steps and calculations. Hint: Use your knowledge of factoring polynomials.
(x^ 2 + 1)(x^ 3 + 2x)(x ^2 + 4x - 16i - 4xi) = 0




Click here to see answer by stanbon(75887) About Me 

Question 932052: Good morning:
I am trying to help my son with the following problem as he has an exam later today and we have been working in solving the following problem:
Solve algebraically for θ in the first quadrant: (cosθ)^2 = sinθ -.02
Thank you.
Caroline

Click here to see answer by Fombitz(32388) About Me 

Question 932194: Find the exact coordinates for the vertex of the function y=3x^2+6x+1

Click here to see answer by TimothyLamb(4379) About Me 

Question 932492: Find the equation of the parabola that passes through (0,0) (6,0) (3,27)
y=0; when x=6; and y=0 when x=0.
-27=k(x-6)(x-0)
k=9/2
=9/2(x^2-6x)
=9/2x^2-27
However, the answer given is 3x^2-18x
Where have I gone wrong?

Click here to see answer by ewatrrr(24785) About Me 

Question 932894: derive all the properties of a quadratic function y=4x^2-3x+2?
(with step by step solution please)

Click here to see answer by ewatrrr(24785) About Me 

Question 932883: For each of the following, prove that the line is a tangent to the parabola, and find the point of contact.
y=x-1/4 and y=x^2
I had simplified that to x^2-x+1/4
However, I cannot factorise that equation....in that form. I know that it MUST be a tangent; as when I used the discriminant, i.e. b^2-4ac; the answer was exactly 0.
Previously, with other questions I was able to clearly identify the value of x, by factorising; then, subsituting the value of x derived in this manner, into either of the original equations to find Y.
However, because I can't factorise here, I can't do that so am at a dead end.



Click here to see answer by rothauserc(4718) About Me 

Question 932844: i have a word problem and am trying to estimate maximum height and have the equation 0=-4.9t^2+16t+20 and need to solve for t but i cant find a way that works please help
Click here to see answer by rothauserc(4718) About Me 

Question 932934: 1. Find an equation in standard form of the parabola passing through the points. Show your work.
(1, -2), (2, -4), (3, -4)

Click here to see answer by Alan3354(69443) About Me 

Question 932936: 3. Determine whether a quadratic model exist for the set of values. If so, write the model. Show your work.
f(-2)=16, f(0)=0, f(1)=4

Click here to see answer by ewatrrr(24785) About Me 

Question 932962: 1. f(x)=x^2+x-12 and g(x)= x-2
a. Find f(x)-g(x)
b. Find g(x)/f(x) Find the domain. Explain how your determined the domain.
c. Find (g ring operator f)(x) and (f ring operator g)(x) Show your work.
As for the ring operator I don't know what that is, but the problem looked like just a small 'o' between g and f.

Click here to see answer by ewatrrr(24785) About Me 

Question 932963: 2. f(x)= square root of x-2+5
a. Find the inverse of f(x). Show the process.
b. Find the domain of f -1.
c. Graph f and f -1 on the same axes. What relationship do you see between the two graphs?

Click here to see answer by MathLover1(20849) About Me 

Question 933084: a man bought a certain number of toys for Rs.180. he kept one for his own use and sold the rest for one rupee each more than he gave for them. Besides getting his own toy for nothing, he made a profit of Rs 10. find the number of toys, he intially bought.
Click here to see answer by Edwin McCravy(20054) About Me 

Question 933104: Please help me with this question or at least give me a hint.
Algebraically find the coordinates of their intersections.
(x+2)^2+(y-1)^2=3^2
y=x^2+4x+7

Click here to see answer by josgarithmetic(39616) About Me 

Question 933103: for what values of k does the system of equations y=x^2-3x+5 , y=kx
have only 1 solution? leave your answers in exact form.
Please help me with this question or atleast give me a hint.

Click here to see answer by josgarithmetic(39616) About Me 

Question 933106: Kindly help me with parabola question.the x and y intercept of a quadratic function in the form y=a(x-h)^2+k
are (2,0),(-4,0)(0,16).solve for a,h and k.

Click here to see answer by MathLover1(20849) About Me 

Question 933233: Two water taps can togetheir fill a tank in 75/8 hours.the tap with larger diameter takes 10 hour less than the smaller one separately to fill the tank.find the time taken by the both tap to fill a tank separately
Click here to see answer by stanbon(75887) About Me 

Question 933232: Two water taps can togetheir fill a tank in 75/8 hours.the tap with larger diameter takes 10 hour less than the smaller one separately .find the time taken by the both tap to fill a tank separately
Click here to see answer by stanbon(75887) About Me 

Question 933451: consider the equation f(x)=-6x-1 and g(x)=4x^2. Select the solution for (f+g)(x)
Click here to see answer by jim_thompson5910(35256) About Me 

Question 933463: P(x) = 1/8x2
Click here to see answer by jim_thompson5910(35256) About Me 

Question 933487: Find all values of c such that the equation
52 x2 + 6 x + c = 0
has exactly one solution. If there is more than one "c", enter them in a comma separated list.

Click here to see answer by josgarithmetic(39616) About Me 

Question 933550: SET UP QUADRATIC EQUATION REQUIRED BUT DO NOT SOLVE.
The product of two consecutive integers is 10920. Determine a quadratic model that would allow you to determine two integers.

Click here to see answer by mananth(16946) About Me 

Question 933573: Standard Form for 5y = (7x + 2)(x - 5) - 4 (4x + 2)^2?
Click here to see answer by MathLover1(20849) About Me 

Question 933677: f(x)=-2x^2+8x-12 does the function have a minimum or maximum value? where does the minimum or maximum value occur? what is the functions minum or maximum value?
Click here to see answer by MathLover1(20849) About Me 

Question 933680: a bird builds a nest on the sill of a secod story office building window. during a storm, an egg falls out of the nest. The height of the egg in feet above the sidewalk x seconds after the fall can be modeled by the function y = -16x^2+20. What wa the height of the nest above the sidewalk?
Click here to see answer by ewatrrr(24785) About Me 

Question 933553: SOLVE FULLY. DEFINE VARIABLES, CREATE QUADRATIC EQUATION AND ANSWER PROBLEM.
Tickets to a dance cost $4 and the projected attendance is 300 people. For every $0.10 increase in ticket price, the school dance committee predicts attendance will decrease by 5 people. Determine price of ticket that produces greatest revenue.

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

Question 933757: How do I find the solution set to the equation 7x^2-28x=0
Click here to see answer by Fombitz(32388) About Me 

Question 934059: use the discriminant to determine the number
of real roots of each equation and then solve each equation using
the quadratic formula.

9s^2 + 2 = 12s

Click here to see answer by josgarithmetic(39616) About Me 

Question 934060: use the discriminant to determine the number
of real roots of each equation and then solve each equation using
the quadratic formula.
y2 – 4y + 1 = 0

Click here to see answer by mananth(16946) About Me 

Question 934190: Need help ASAP!
A box is to be formed from a rectangular piece of sheet metal by cutting squares measuring 5 inches on a side and then folding the sides. The piece of sheet metal is twice as long as it is wide. If the volume of the box is to be 1760 inches cubed, what are the dimensions of the original piece of sheet metal?
Thx

Click here to see answer by MathLover1(20849) About Me 

Question 934253: Which ordered pair is the vertex of f(x) = x2 – 10x + 16?

Click here to see answer by josmiceli(19441) About Me 

Question 934227: Lisa, Nicole, and Amber are to mow a rectangular lawn that measures 100 feet by 120 feet. Lisa is going to mow one-third of the lawn by mowing a strip of uniform width around the outer edge of the lawn. What are the dimensions of the lawn to still be mowed?
Thx for you help! :D

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

Question 934402: what two factors of -48 have a difference of 19
Click here to see answer by jim_thompson5910(35256) About Me 

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