Questions on Algebra: Quadratic Equation answered by real tutors!

Tutors Answer Your Questions about Quadratic Equations (FREE)

Question 1027835: Find a possible formula for the quadratic function whose graph has x-intercepts 4 and 8 and y-intercept 34.
y=
Click here to see answer by ankor@dixie-net.com(22740)

Question 1027909: Approximating solutions.
Suppose you are solving a quadratic equation with no constant term. (c=0). Would you use factoring or the quadratic formula to solve? Why?
Click here to see answer by josgarithmetic(39613)

Question 1027817: Solving using the quadratic formula.
7x(x+2)+5=3x(x+1)
Do you first subtract the 3x^2 from 7x^2? I'm not 100% on how to work this through.
Click here to see answer by MathTherapy(10549)

Question 1027957: Write a quadratic equation and solve
A gardener currently has a vegetable garden 12 ft wide and 20 ft long. He wishes to increase the area to 560 ft^2 by adding the same amount to the garden's length and width. How many feet should be added? What are the new dimensions?
Click here to see answer by josgarithmetic(39613)

Question 1027955: Write a quadratic equation and solve
Two consecutive integers have a product that is 14 less than ten times the smaller integer. Find the integers
Click here to see answer by josgarithmetic(39613)

Question 1027956: Write a quadratic equation and solve
The difference of two numbers is 6 and the difference of their squares is 60. Find the numbers
Click here to see answer by mananth(16946)

Question 1027956: Write a quadratic equation and solve
The difference of two numbers is 6 and the difference of their squares is 60. Find the numbers
Click here to see answer by Theo(13342)

Question 1027895: The points (1, 5), (5, 10), (7, 8) and (8, 1) are on the graph of the function p. What expression shows the average rate of change of the function p on 5 ≤ x ≤ 8?
Click here to see answer by Fombitz(32388)

Question 1028027: At a basketball game, members of the Spirit Club use a t-shirt cannon to launch team t-shirts to spectators in the stands. The equation below describes the height, h, of the t-shirt, t seconds after it is shot from the cannon c feet above the ground, at an initial velocity of v.
h = -16t^2 + vt + c
Solve the equation for initial velocity, v.
The cannon launched a t-shirt from an initial height of 5 feet. After 3 seconds the shirt has reached a height of 131 feet. Use the equation from #1 to find the initial velocity of the t-shirt.
What does the equation from #1 tell you about the value of the velocity, v, when t = 0?
Click here to see answer by josmiceli(19441)

Question 1028085: Please help me factor completely
2x^3 - 2x^2-12X
Click here to see answer by fractalier(6550)

Question 1028102: A sequence is defined recursively by f(1) = 16 and f(n) = f(n-1) + 2n
Find f(4)
Click here to see answer by robertb(5830)

Question 1028180: Solve by taking roots.
2(5x-3)^2 = 7
Click here to see answer by josgarithmetic(39613)

Question 1028177: Write a quadratic equation and solve. Use a calculator and the decimal approximation of 3.14 for π(pi).
The volume of the circular cylinder is 45,600 ft^3. Find its radius to the nearest foot. (the cylinder is 30 ft)
FORMULA:
V = πr^2H
Click here to see answer by Cromlix(4381)

Question 1028179: Write a quadratic equation and solve. Assume that air resistance is negligible.
A construction worker dropped a bolt from the twelfth floor, a height of 120 ft. How long (to the nearest tenth of a second) did it take to reach the ground?

FORMULA: h(t) = -16t^2 + h
Click here to see answer by josmiceli(19441)

Question 1028290: A holding compound for livestock beside a riverside dock is fenced as shown. If 600 meters of fencing is used, what are the values of a and b so that the area is a maximum?
Click here to see answer by Alan3354(69443)

Question 1028260: When a ball is served, consider the trajectory of ball modelled by equation y=-x^2/8 + 9x/8 +5/4. Find the height of the ball when it is 3m horizontally from where served. (Y represents height of ball in metres above ground and x represents horizontal distance from when ball was struck).
I believe 5/4 (y intercept)represents the initial height and that the ball travels 10m (x intercept) but I'm stuck with how to calculate the height after 3 metres.
any help/advice would be great
Thanks
Click here to see answer by ankor@dixie-net.com(22740)

Question 1028340: A square pool has a side length of X feet. A uniform border around the pool is 1 foot wide. The total area of the pool and the border is 361 square feet. What is the area of the pool?
Click here to see answer by mananth(16946)

Question 1028510: the area of rooftop can be expressed as 9x^2 + 6x+ 1 . The rooftop is a quadrilateral. If the area of the rooftop is 361m^2 .
what is the length of one side of the rooftop?
Click here to see answer by ikleyn(52750)

Question 1028513: If h(x)=3x+2 and g(x)=2^x.
Find (g-h)(x)=k(x)
Find (g∘h)(x)=k(x)
Click here to see answer by robertb(5830)

Question 1028428: If h(x)=3x+2 and g(x)=2^x.
Find (g-h)(x)=k(x)
Find (g ∘h)(x)=k(x)

Click here to see answer by Fombitz(32388)

Question 1028430: If p(x)=2x and g(x)=2^x, find r(x)=(1/p-q)(x)
Click here to see answer by Fombitz(32388)

Question 1028514: If p(x)=2x and g(x)=2^x, find r(x)=(1/p-q)(x)
Click here to see answer by Fombitz(32388)

Question 1028623: Given s(x) = 2x - 3 and t(x) = 5x + 4.
Find the formula and domain for v(x) = (s/t) (x) and w(x) = (t/s) (x).
Click here to see answer by Fombitz(32388)

Question 1028667: A ladder is leaning against a building so that the distance from the ground to the top of the ladder is 1 foot less than the length of the ladder. Find the length of the ladder if the distance from the bottom of the ladder to the building is 7 ft.
Click here to see answer by stanbon(75887)

Question 1028738: Thank you for staying! Take your time and please help me <3

Solve the equation by using square roots.

1.) 2x^2+6=14

2.) (x-1)^2+3=12

Solve the equation by completing the square. Round to the nearest tenth, if necessary.

3.) x^2+6x=7

4.) x^2-4x=10

Write the function in vertex form by completing the square.

5.) y=x^2+2x+1

6.) y=-x^2-8x-15

Again, I just wanted to thank you guys so much!

Click here to see answer by josgarithmetic(39613)

Question 1028793: How many solutions does this equation have whose related function is graphed linked below?
Here is the graph: http://postimg.org/image/3o8ol5l3r/
How do you find these solutions?
Click here to see answer by Fombitz(32388)

Question 1028790: Which is the approximate solution to the quadratic equation whose related quadratic function is displayed in the graph linked below?
Here is the graph: http://postimg.org/image/lc3t57i8n/
A.) {3, 9}
B.) {3}
C.) {9}
D.) No solution
Thanks in advance!
Click here to see answer by ikleyn(52750)

Question 1028737: Please help me! Thanks (:

Approximate the zeros of the function. Round to the nearest tenth.

1.) y=x^2-7x+7

2.) y=-2x^2-9x+10

Click here to see answer by rothauserc(4718)

Question 1028880: Solve by completing the square
Find two integers such that the first is 5 more than twice the second and the sum of their squares is 850.
Click here to see answer by mananth(16946)

Question 1028882: Solve by completing the square
A ball is thrown upward at an initial velocity of 26 ft/sec^2 from a height of 3 ft. Find the approximate length of time(to the nearest tenth of a second) it will take the ball to return to a height of 5 ft.
USE THIS FORMULA:
h(t)= -16t^2 + vt + h
Where V(measured in ft/sec^2) and H(initial height)
Click here to see answer by mananth(16946)

Question 1028884: Solve by complementing the square
1/2x^2 + 3x =17
Click here to see answer by mananth(16946)

Question 1028883: The height (in feet) of a football kicked from the 30 yd line can be modeled by the equation h= -0.02x^2 + 1.2x, where x is the horizontal distance traveled in yards. Use calculator to answer the question
1.) On what yard line will the ball hit the ground?
2.) Will the football reach a height of 20 ft?
Click here to see answer by josmiceli(19441)

Question 1028896: You wish to fence a circular garden of area 90 square meters. How much fence do you need?
Round your answer to three decimal places.

Click here to see answer by Cromlix(4381)

Question 1028894: Solve the quadratic equation by taking square roots.
x=
x=
Click here to see answer by Theo(13342)

Question 1029085: The quadratic equation whose roots are 6 and 4, and whose leading coefficient is 1 x is the variable
Click here to see answer by ikleyn(52750)

Question 1029169: Use quadratic formula and a calculator to solve. Round decimal approximations to the nearest hundredth.
A rectangular piece of cardboard is made into a box by cutting 3 inches squares from each corner and then folding the cardboard up. The length of the cardboard box is 3 inches more than its width. If the volume of the box is 540 inches^3, what are the dimensions of the original piece of cardboard?
Click here to see answer by josgarithmetic(39613)

Question 1029174: Find the coordinates of the points of intersection of the line with equation y=x+k and the parabola with equation y=x^2-4x, where k>0
Click here to see answer by Natolino1983(23)

Question 1029110: Estimate the answer(s) to the quadratic equation which has a related quadratic function shown in the graph linked below
Graph: http://postimg.org/image/r1z2nws8z/

Click here to see answer by Fombitz(32388)

Question 1029170: Use quadratic formula and a calculator to solve. Round decimal approximations to the nearest hundredth.
2/3x^2 - 4/5x - 1/2 = 0
Click here to see answer by Alan3354(69443)

Question 1028929: f(x)=2x^2-4x-1
find the domain and range ( enter answers using interval notation)
Click here to see answer by Fombitz(32388)

Question 1029212: If someone could please help me with this, it will be a huge help.

1) Solve -16t^2 -8t = 10 by completing the square.
Click here to see answer by Alan3354(69443)

Question 1029267: If the quadratic 3x^2+bx+10 can be written in the form a(x+m)^2+n, where m and n are integers, what is the largest integer that must be a divisor of b?
Click here to see answer by stanbon(75887)

Question 1029328: Give an example of a quadratic equation with a double root, and state the relationship between the double root and the graph of the related function.
Click here to see answer by josgarithmetic(39613)

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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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, 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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