Questions on Algebra: Quadratic Equation answered by real tutors!

Tutors Answer Your Questions about Quadratic Equations (FREE)

Question 1033490: Find an equation of the parabola that has the indicated vertex and whose graph passes through the given point
Vertex: (2, -1); point: (4, -3)

Click here to see answer by FrankM(1040)

Question 1033531: I need to rent a Uhaul Truck to move my piano to my new home. The truck is 11 feet tall and 7 feet wide. The problem is that my new house has a tunnel on the driveway and it seems really small. I am not sure the truck will fit though the tunnel. The arch can be modeled by: y= -.0625x^2+ 1.25x+5.75
1. Will the truck fit through? Explain and support mathematically
2. What is the maximum width that a truck 11 ft tall can have and still make it under the arch?
3. What is the maximum height that a truck 7 feet wide can have and still make it under the arch?
Click here to see answer by addingup(3677)

Question 1033563: Solve the equation:
(t-4)^6-11(t-4)^3+28=0
t=
Click here to see answer by stanbon(75887)

Question 1033563: Solve the equation:
(t-4)^6-11(t-4)^3+28=0
t=
Click here to see answer by josgarithmetic(39616)

Question 1033541: (t-4)^6-11(t-4)^3+28=0
Click here to see answer by josgarithmetic(39616)

Question 1033491: The daily production costs C( in dollars per unit) for a manufacturer of lighting fixtures are given by the quadratic function C(X)=800-10X+0.25X2 where x is the number of units produced. How many fixtures should be produced to yield a minimum cost per unit?
Click here to see answer by ikleyn(52776)

Question 1033492: The profit P ( in dollars) for a manufacturer of sound systems is given by the quadratic function P(X)=-0.0003X2+150X-375000 where X is the number of units produced. What production level will yield a maximum profit?
Click here to see answer by robertb(5830)

Question 1033581: The tens digits of a 2-digit number is 3 more than the ones digit. if the product of the number and the sum of its digits is 841, find the number.
This is what I did :)
Tens= x+3
DISABLED_event_Ones= x
Number is 10(x+3)+x
10x+30+x
11x+30
Sum of the digits 2x+3
So (11x+20)(2x+3) = 22x^2+93x-751=0
I'm stuck there. I don't know what I did wrong..

Click here to see answer by ikleyn(52776)

Question 1033613: Ashley solved the exponential equation 3x+1 = 15 and her work is shown below. What is the first step she did incorrectly?
Step 1: log 3x+1 = log15
Step 2: (x + 1)log 3 = log15
Step 3: x + 1 = log 15 over log 3
Step 4: x+1 = 2.708050 over 1.098612
Step 5: x + 1 = 1.418858
Step 6: x = 0.418858
Click here to see answer by Alan3354(69443)

Question 1033660: what is the nearest integer to the x-coordinate of the vertex of the function
f(x)=6x^2 + 13x - 5?
Click here to see answer by fractalier(6550)

Question 1033814: Hello, I'm not so sure what the problem is trying to tell me. I know that I need to graph it, but I'm not sure how to start the equation or what the input and output should be. I really need some help. Thank you so much! I'll be so happy for some help to understand this situation!
The height of a golf ball in meters can be described by the equation h=-4.9t^2+22.7t, where t is the number of seconds after it was hit. Use a calculator or spreadsheet to make a table of inputs and outputs for this function. The variable t should start out at zero and increment by 0.2.
Click here to see answer by Boreal(15235)

Question 1033873: Example of a Quadratic Equation that has roots of �3 and 4 in standard form.
Click here to see answer by Alan3354(69443)

Question 1033901: a photograph measures 21cm by 15 cm. A strip of constant width is to be cut from each side of the photo. So area is reduced to 216cm squared. find the width of the cut.
Click here to see answer by josgarithmetic(39616)

Question 1034129: x^2-2x-8
Click here to see answer by Theo(13342)

Question 1034164: The quadratic function which takes the value 41 when x=-2 and the value 20 at x=5 is y=ax^2-bx+c.Need help in finding values for a,b,c
Click here to see answer by Boreal(15235)

Question 1034195: 9x^3 +5 -8x^2 -5x +3=
Click here to see answer by ikleyn(52776)

Question 1034201: What type of function is f(x)=2/3x-4?
Click here to see answer by ikleyn(52776)

Question 1034200: What type of function is f(x)=6x^3 -3x^2 +2x -5?
Click here to see answer by ikleyn(52776)

Question 1034199: Use the quadratic formula 1/4 (x-6)^2 +3 to answer the following questions.
The parabola would open____.
The axis of symmetry is located at x=___.
Because of the value of the leading coefficient, the parabola would have a ____ opening.
Click here to see answer by ikleyn(52776)

Question 1034197: Use the quadratic formula 1/4 (x-6)^2 +3 to awnser the following questions
a=?
k=?
the vertex of the parabola would be located at which coordinates?
Click here to see answer by Fombitz(32388)

Question 1034237: f(X) = x^2 + 2. How is this related to f(x) = -x^2 - 1? I think that it is reflected up 3, but my friends say it is reflected down 3. Can you help? Thank you.
Click here to see answer by richard1234(7193)

Question 1034241: What is the equation of the quadratic function, in vertex form, if the vertex is at (3,5) and has a leading coefficient of 2?
options are a.2(x+3)^2+5 b.2(x+3)^2-5 c.2(x-3)^2+5 d.2(x-3)^2-5
i need to show work so help me out here
Click here to see answer by josgarithmetic(39616)

Question 1034239: 9x^3+5-8x^2-5x^3+3=
a.4x^-2
b.-4x^3+8
c.14x^3-8x^2+8
d.4x^3-8x^2+8
need to show work also
Click here to see answer by josgarithmetic(39616)

Question 1034268: Two men A and B went to market and buy some mangoes and apples of same price but A buy 20 mangoes and apples and B buy 50 mangoes and
apples.Find number and price of one mango and apple in both case.

Click here to see answer by josgarithmetic(39616)

Question 1034240: using the quadratic formula 1over4(x-6)^2+3 to awswer the following questions
19. the axis of symmetry is located at x=___.
options are a.1over4 b.6 c.2 d.3
20. Because of the value of the leading coefficient, the parabola would have a ___ opening.
options are a.narrow b.wide c.left d.right
Click here to see answer by josgarithmetic(39616)

Question 1034230: Applications of Quadratic Functions
1. The hypotenuse of a right triangle is 32 feet long. One leg is 2 feet longer than the other. Find the length of the shorter leg. Round your answer to the nearest hundredth.
2. Elaine shoots an arrow upward at a speed of 32 feet per second from a bridge that is 28 feet high. The height of the arrow is given by the function h(t) = -16t2+32t + 28, where t is the time in seconds.
a. What is the maximum height that the arrow reaches?
b. How long does it take the arrow to reach its maximum height?
c. How long would it take before the arrow reached the ground? Round your answer to the hundredths place.
3. A person standing close to the edge on the top of an 80-foot tower throws a ball with an initial speed of 64 feet per second. After t seconds, the height of the ball above the ground is
s(t) = -16t2 +64t + 80
a. After how many seconds will the ball reach its maximum height?
b. How long will it take before the ball reaches the ground?
c. What is the maximum height of the ball?
4. An object is launched at 19.6 meters per second from a 58.8 meter tall platform. The equation for the object's height s at time t seconds after launch is s(t) = -4.9t2+ 19.6t + 58.8, where s is in meters.
a. When does the object strike the ground?
b. What was its maximum height?
c. How long will it take to reach its maximum height?
5. A ball is thrown directly upward from an initial height of 200 feet with an initial velocity of 96 feet per second. After t seconds, the height of the ball above the ground is s(t) = 16t2+ 96t + 200.
a. After how many seconds will the ball reach its maximum height?
b. What was the maximum height?
c. How long will it take before the ball reaches the ground?
6. A soft-drink vendor at a popular beach analyzes his sales records, and finds that if he sells x cans of soda pop in one day, his profit (in dollars) is given by P(x) = -0.001x2+ 3x � 1800.
a. What is his maximum profit per day?
b. How many cans must be sold in order to obtain the maximum profit?
Click here to see answer by ikleyn(52776)

Question 200469: (x-a)(x-b)
8 ,1
2, 2
Click here to see answer by jorel555(1290)

Question 200469: (x-a)(x-b)
8 ,1
2, 2
Click here to see answer by ikleyn(52776)

Question 1030135: Please help:
The length of a rectangular swimming pool is twice its width. The pool is surrounded by a walk that is 2 feet wide. The area of the region consisting of the pool and the walk is 1056 square feet.
(a) Use the method of completing the square to determine the dimensions of the swimming pool.
The length of the pool is ____ feet, and the width of the pool is ____feet.
(b) If the material for the walk costs $8 per square foot, how much would the material cost for the entire walk?
The material would cost $____ .
Click here to see answer by jorel555(1290)

Question 1034472: Ray threw a ball from the top of a 40 metre building to his sister who was standing below him on a balcony that is 12 m up from the ground. The function h(t)=-2t^2-10t+40 models the height of the ball from the ground, where h(t) is the height in metres and t is the time in seconds. If Ray's throw is accurate, when will his sister catch the ball?
Show your solution using the factoring method.
Thanks so much :)
Click here to see answer by Boreal(15235)

Question 1034532: I am working on solving quadratic equations with substitutions.
(y-10/y)^2-6(y'10/y)-27=0
I have done the substitution step, letting (y-10/y)=W. I solved for W. W=9 or -3 from what I got. Now I am having difficulty inputting those answers back into the equation to solve for y. y-10/y=9 or y-10/y=-3. Any help is greatly appreciated. Thank you
Click here to see answer by ikleyn(52776)

Question 1028221: The length of a rectangle is 8 feet longer than its wide. If each side is increased 8 feet, then the area is multiplied by 3. What was the size of the original rectangle?
The width or short side is
The Length or the long side is
Click here to see answer by jorel555(1290)

Question 1034546: Please help me solve this problem:A ball is thrown directly upward from an initial height of 200 feet with an initial velocity of 96 feet per second. After t seconds, the height of the ball above the ground is s(t) = 16t2+ 96t + 200.
a. After how many seconds will the ball reach its maximum height?
b. What was the maximum height?
c. How long will it take before the ball reaches the ground?
Click here to see answer by josmiceli(19441)

Question 1034547: Please help me solve this problem: A soft-drink vendor at a popular beach analyzes his sales records, and finds that if he sells x cans of soda pop in one day, his profit (in dollars) is given by P(x) = -0.001x2+ 3x � 1800.
a. What is his maximum profit per day?
b. How many cans must be sold in order to obtain the maximum profit?
Click here to see answer by josmiceli(19441)

Question 1034545: Please help me with this problem: An object is launched at 19.6 meters per second from a 58.8 meter tall platform. The equation for the object's height s at time t seconds after launch is s(t) = -4.9t2+ 19.6t + 58.8, where s is in meters.
a. When does the object strike the ground?
b. What was its maximum height?
c. How long will it take to reach its maximum height?

Click here to see answer by Alan3354(69443)

Question 1034544: Please help me with this problem:A person standing close to the edge on the top of an 80-foot tower throws a ball with an initial speed of 64 feet per second. After t seconds, the height of the ball above the ground is
s(t) = -16t2 +64t + 80
a. After how many seconds will the ball reach its maximum height?
b. How long will it take before the ball reaches the ground?
c. What is the maximum height of the ball?

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

Question 1034543: Please help me with this problem :Elaine shoots an arrow upward at a speed of 32 feet per second from a bridge that is 28 feet high. The height of the arrow is given by the function h(t) = -16t2+32t + 28, where t is the time in seconds.
a. What is the maximum height that the arrow reaches?
b. How long does it take the arrow to reach its maximum height?
c. How long would it take before the arrow reached the ground? Round your answer to the hundredths place.
Click here to see answer by fractalier(6550)

Question 1032674: Use the quadratic formula to solve the equation.
5k^2+10k-4=0
k=
Click here to see answer by fractalier(6550)

Question 1034927: 4(x-3)^2=3-x
Click here to see answer by josgarithmetic(39616)

Question 1035000: Graft 1x+8x-17
Click here to see answer by Alan3354(69443)

Question 1034935: The vertex of a parabola is (-2, -20), and its y-intercept is (0, -12).The equation of the parabola is
Click here to see answer by josgarithmetic(39616)

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, 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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