Questions on Algebra: Quadratic Equation answered by real tutors!

Tutors Answer Your Questions about Quadratic Equations (FREE)

Question 189862: Find the height, of a ball, above ground using the following information.
wait 2 seconds, velocity is 55 ft/sec, initial height above ground is 2 ft
Click here to see answer by Alan3354(69443)

Question 189880: Identify the value of a,b, and C in the functions
y=3x^2-5x+2
Click here to see answer by jim_thompson5910(35256)

Question 189904: Solve by completing the square.

y^2 - 12y = -11
Click here to see answer by nerdybill(7384)

Question 189904: Solve by completing the square.

y^2 - 12y = -11
Click here to see answer by jim_thompson5910(35256)

Question 189964: I am in need of assistance in creating an equation that describes the chart as follows
X Y
0 0
1 .5
2 2.0
3 4.5
4 8
5 12.5
I realize the progression of .5,1.5,2.5,4,4.5. I can't figure out the equatio

Click here to see answer by Alan3354(69443)

Question 189848: 2. For a line segment ST, one endpoint is S(-1/2), 4) and the midpoint is
M(6, -3/4).
Find the coordinates of the other endpoint T.
Thank you very much!!!!
Click here to see answer by edjones(8007)

Question 189971: Use the Completing the Square method to find the vertex form of the quadratic function y = x^2 + 7x + 12.
Click here to see answer by Mathtut(3670)

Question 189971: Use the Completing the Square method to find the vertex form of the quadratic function y = x^2 + 7x + 12.
Click here to see answer by nerdybill(7384)

Question 189970: Find the vertex of the parabola y = 3(x+1)^2 - 4. Give your answer by filling in the blanks in the following sentence, where the first blank is the coordinates of the vertex, and the second blank is either the word "highest" or the word "lowest".
The vertex is ______ , and this point is the _________ point on the parabola.
Click here to see answer by Mathtut(3670)

Question 189969: Use the discriminant to find how many places the quadratic function crosses the x-axis.
x^2 - 5x - 14 = 0

a) Two zeros
b) One zero
c) No zeros
Click here to see answer by Mathtut(3670)

Question 189968: Use the discriminant to find how many places the quadratic function crosses the x-axis.
4x^2 + 8x = 0

a) Two zeros
b) One zero
c) No zeros
Click here to see answer by stanbon(75887)

Question 190011: how do i do this question.....- + 30 = 50x*255x (*= exponent)
Are there any other websites that can help me with these problems??
Click here to see answer by Alan3354(69443)

Question 190025: what does it mean with the equal to 2/3 x+1?

Click here to see answer by Alan3354(69443)

Question 190057: Find the x-intercepts of the graph of the equation.......Please explain steps...
y=x^2+2x-35
x^2 is x squared.
Click here to see answer by solver91311(24713)

Question 190088: A community theater sells about 150 tickets to a play each week when it charges $20 per ticket. For each $1 decrease in price, about 10 more tickets per week are sold. The theater has fixed expenses of $1500 per week.
Write a model: write a verbal model and a quadratic function to represent the theater's weekly profit.
-----
What i did is this, but I am not sure if I am right:
y=(-x+20)(10x+150)-1500
y=-10x^2-150x+200x+3000-1500
y=-10x^2+50x+1500
I really don't understand how to create equations out of word problems like this. I really appreciate the help.. Thank You !
Click here to see answer by solver91311(24713)

Question 189988: 2. Choose the equation of the parabola with a vertex at the origin and a focus at (0, �3).
1. y=-1/3x
2. y=1/12x^2
3. y=-1/3x^2
4. y=1/12x^2

Click here to see answer by cutepiscean5(19)

Question 190141: I need to find the equation that goes with a series of plotted points. The points form what appears to be part of a parabola. The coordinates given are:
x y
32 6
48 14
64 24
80 38
96 55
112 75
The scenario relates to the speed of a car (x) and the braking distance at that speed (y). So presumably another coordinate can also be 0,0.
Given the staring coordinate of 0,0 I have worked out that in the formula form y = ax^2 + bx + c that c = 0, but I cannot work out the procedure to use to solve for a and b and come up with the equation. I have tried simultaneous equations but think I am doing something wrong. My boyfriend talked about solving it by taking logs but we have not been taught that way at school.
Thanks
Click here to see answer by stanbon(75887)

Question 190294: A signal flare is fired upward with initial speed 245m/s. A stationary balloonist at the height of 1960 m sees the flare pass on the way up. How long after this will the flare pass the balloonist again on the way down?
This is for my son, and yes, I'm a few years out of practice. He's tried setting it to zero with: -4.9t^2-245t+1960=0. I think h=rt-4.9t^2 is the formula was also given to him. Can you help, please? He knows the answer is 30 seconds, but can't show the work. Thanks
Click here to see answer by jim_thompson5910(35256)

Question 190301: What is the domain of f, range of f, vertex, axis of symmetry, x-intercept (s), y-intercept, determine whether it has a minimum or a maximum value and state that value for f(x)=x^2+x-2
PLZZZZ help me in STRUGGLING!
Click here to see answer by solver91311(24713)

Question 190232: How do you solve this problem? and I need answer too
Click here to see answer by Mathtut(3670)

Question 190316: Prove the identity : sin theta tan theta + cos theta= sec theta
Click here to see answer by stanbon(75887)

Question 190329: Please help me solve this equation 4y2 + 3y - 1 = 0

Click here to see answer by vleith(2983)

Question 190404: How do you factor ? I only remember how to factor problems in the form
Click here to see answer by solver91311(24713)

Question 190404: How do you factor ? I only remember how to factor problems in the form
Click here to see answer by jim_thompson5910(35256)

Question 190437: Is it possible for a quadratic equation to have no real solution? give an example of a quadratice polynomial equation that has no real number as its solution. Explain your answer
Click here to see answer by Mathtut(3670)

Question 190496: the distance,h, traveled in,t, seconds by an object dropped from a height is h=-16t^2+s. if an object is dropped from an initial height,s, of 180 feet, how long will it take before the obect hits the ground? round to the nearest 0.01 second
Click here to see answer by Alan3354(69443)

Question 190554: Could I have help in solving the following word problem. Thank you. If 48 square inches are subtracted from the area of a square table, the result would be equal to twice the perimeter. What is the length of the side of the table.
Click here to see answer by dowell(1)

Question 190555: I have a world problem, not sure if I solved it correctly. Could I have some help, thank you. A picture frame is 14cm by 18cm. There are 192cm2 of the picture showing. Find the width of the frame. I have 2cm. Is this correct. Thank you.
Click here to see answer by nerdybill(7384)

Question 190552: I have a world problem that I need help solving. Thank you. The hypotenuse of a right triangle is 26 ft long. One leg is 14 ft longer than the other. Find the length of the shorter leg.
Click here to see answer by nerdybill(7384)

Question 190570: The original problem is: 5 + 1/x-1/x^2=0
I don't know how they reset it as: 5x^2+x-1=0
Please assist in this determination. Thank you.
Click here to see answer by nerdybill(7384)

Question 190580: Could I have some help on the following problem, can't seem to solve. The hypotenuse of a triangle is 10ft long. The longer one is two feet longer than the other. Find the length of the shorter leg.
Click here to see answer by Earlsdon(6294)

Question 190583: Could I have some help figuring out this problem. Thank you. The hypotenuse of a right triagle is 4 inches long. One leg is 1 inch longer than the other. Find the length of the shorter leg. Round to the nearest tenth.
Click here to see answer by nerdybill(7384)

Question 190576: Foul ball. Suppose Charlie O�Brian of the Braves hits a baseball straight upward at 150 ft/sec from a height of 5 ft.
a) Use the formula to determine how long it takes the ball to return to the earth.
b) Use the accompanying graph to estimate the maximum height reached by the ball.

Click here to see answer by Alan3354(69443)

Question 190577: I'm having problems trying to figure out a problem, keep getting confused trying to figure it out. A picture frame is 20cm by 12cm. There are 84cm2 of picture showing. Find the width of the area not covered by the picture, assuming the picture is the same shape as the frame and is centered on the frame.
Click here to see answer by scott8148(6628)

Question 190611: Find all solutions to x^6+7x^3-8=0
Click here to see answer by stanbon(75887)

Question 190630: I need to find value of d in the following problem. Perfect square
y^2-10y+d
Click here to see answer by jim_thompson5910(35256)

Question 190630: I need to find value of d in the following problem. Perfect square
y^2-10y+d
Click here to see answer by Earlsdon(6294)

Question 190698: 5x^4 + 14x^2 - 3 = 0
Click here to see answer by Alan3354(69443)

Question 190707: please help me solve this equation
y=x^2-10x+2
Click here to see answer by Alan3354(69443)

Question 190699: (x-13)sqrt=20 If someone can help with this one I cannot understand how to factor and find solution
Click here to see answer by Alan3354(69443)

Question 190718: 2x^2 - 7x -15=0 solve using the method of factorization. Ivolve by factoring)
Click here to see answer by nerdybill(7384)

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