Questions on Algebra: Quadratic Equation answered by real tutors!

Tutors Answer Your Questions about Quadratic Equations (FREE)

Question 1071423: Use the vertex (h, k) and a point on the graph (x, y) to find the general form of the equation of the quadratic function.
(h, k) = (−5, −1), (x, y) = (−7, 3)
Click here to see answer by josgarithmetic(39617)

Question 1071436: Use the vertex (h, k)
and a point on the graph (x, y)
to find the general form of the equation of the quadratic function.
(h, k) = (0, 4), (x, y) = (1, 5)
Click here to see answer by josgarithmetic(39617)

Question 1071437: Use the vertex (h, k)
and a point on the graph (x, y)
to find the general form of the equation of the quadratic function.
(h, k) = (−5, −1), (x, y) = (−7, 3)
Click here to see answer by josgarithmetic(39617)

Question 1071427: Suppose that the price per unit in dollars of a cell phone production is modeled by p = $35 − 0.0125x,
where x is in thousands of phones produced, and the revenue represented by thousands of dollars is R = x � p.
Find the production level that will maximize revenue.
Click here to see answer by ikleyn(52781)

Question 1071438: Suppose that the price per unit in dollars of a cell phone production is modeled by p = $35 − 0.0125x, where x is in thousands of phones produced, and the revenue represented by thousands of dollars is R = x � p.
Find the production level that will maximize revenue.
________thousand phones
Click here to see answer by ikleyn(52781)

Question 1071422: Sketch a graph of the quadratic function.
f(x) = −2x2 + 5x − 6
Give the vertex, axis of symmetry, and intercepts. (If an answer does not exist, enter DNE.)

Click here to see answer by josgarithmetic(39617)

Question 1071426: Sketch a graph of the quadratic function.
f(x) = −2x^2 + 5x − 6
Give the vertex, axis of symmetry, and intercepts. (If an answer does not exist, enter DNE.)

Click here to see answer by Theo(13342)

Question 1071523: 9x^2+kx+16=0
Click here to see answer by stanbon(75887)

Question 1071553: use the formula y=a(x+p)2+q to determine the equation of the graph.
Click here to see answer by josgarithmetic(39617)

Question 1071662: Use the formula y=a(x+p)2+q to determine the equation of the graph
Click here to see answer by Fombitz(32388)

Question 1071742: 3x+2+x=x+5
Click here to see answer by Alan3354(69443)

Question 1071732: I need to find an equation with a vertex of (10,10), and roots of 0 and 20. When I use the roots to find the equation, I get x(x-20) giving me x^2-20x. However, this does not have a vertex of (10,10). Using vertex form, I can find y=-10x^2+200x-990 but this does not have roots of 0 and 20. After playing around on a graph, I found out that the graph is -1/10x^2+2x. However, how do I get to this equation.
Click here to see answer by ikleyn(52781)

Question 1071739: Pamela says that if the graph of a quadratic function opens upwards, then the related quadratic equation has two solutions. Provide a counter example to Pamela's claim

Click here to see answer by josgarithmetic(39617)

Question 1071967: -28+12=

Click here to see answer by ikleyn(52781)

Question 1072012: Here's a math problem that I have and do not know how to do at all:
Suppose A and B are single digit positive integers chosen independently and at random. What is the probability that the point (a,b) lies above the parable y=ax^2-bx?
Click here to see answer by Fombitz(32388)

Question 1072206: find the quadratic equation whose roots are as given 0 and 4
Click here to see answer by ankor@dixie-net.com(22740)

Question 1072206: find the quadratic equation whose roots are as given 0 and 4
Click here to see answer by rothauserc(4718)

Question 1072269: X^2+3x=18
Click here to see answer by jorel1380(3719)

Question 1072269: X^2+3x=18
Click here to see answer by josgarithmetic(39617)

Question 1072260: Karen is throwing an orange to her brother Saul, who is standing on the balcony of their home. The height, h (in feet), of the orange above the ground t seconds after it is thrown is given by: h (t)=-16t^2+32t+4
If Saul's outstretched arms are 18 feet above the ground, will the orange ever be high enough that he can catch it?
Click here to see answer by Edwin McCravy(20055)

Question 1072305: A number of two digits is such that twice the tens digit is 8 less than seven times the unit digit. When the d?
A number of two digits is such that twice the tens digit is 8 less than seven times the unit digit. When the digits are reversed, the number is decreased by 9. What is the number?
Click here to see answer by stanbon(75887)

Question 1072294: a number of two digits is increased by 9. when the digits are reverse, the sum of the digits is 5.Find the number.
Click here to see answer by Alan3354(69443)

Question 1072379: The distance, s (in feet), that an object on the moon will fall in the seconds is given by s(t)=2.735t^2. How far will an object fall on the moon in 3 seconds?
Click here to see answer by algebrahouse.com(1659)

Question 1072376: After a baseball is hit, there are two equations that can be considered. One gives the height, hopefully (in feet), the ball is above the ground t seconds after it is hit. The second is the distance, so (in feet), the ball is from home plate t seconds after it is hit. A model of this situation is given by: h=-16t^2+70t+4 and s=44.5t.
Using this model, determine whether the ball will clear a fence which is 15 feet tall and is located 325 feet from home plate.
Click here to see answer by ankor@dixie-net.com(22740)

Question 1072506: How do I write a quadratic equation given only the roots and the axis of symmetry?
The graph is extremely vague and cannot post it unfortunately.
The roots are 0 and 24
The axis of symmetry is x = 12
please help, thank you!
Click here to see answer by Alan3354(69443)

Question 1072567: Solve the system y = -x + 7 and y = 0.5(x - 3)^2

Click here to see answer by Boreal(15235)

Question 1072643: Find the set values of x for which x^2-9x+20 is negative
Click here to see answer by josgarithmetic(39617)

Question 1072645: Given that the equation x(x-2p)=q(x-p) has real roots for all real values of p and q. If q=3, find a non-zero value for p so that the roots are rational.
Click here to see answer by josgarithmetic(39617)

Question 1072656: An open-topped box is made from a piece of cardboard measuring 20cm by 25cm. The sides of the box are formed by removing a square from each corner. The base of the box has an area of 300cm^2.
a) Write an equation to represent the situation.
b) Use the quadratic formula to determine what amount needs to be removed from each side.
c) What are the dimensions of the box?
Click here to see answer by josgarithmetic(39617)

Question 1072654: Jane's yard is 10m by 14m. She wants to build a rectangular garden in the centre of the yard. She wants the garden to have an area of 50m^2. The rest of the yard will be used as a walkway around the garden. How wide will the walkway be? Solve by completing the square and record your answer to the nearest tenth of a metre.
Click here to see answer by josgarithmetic(39617)

Question 1072714: A player shoots a basketball from a height of 6 feet. The equation, h = -16t^2 + 25t + 6, gives the height, h , of the basketball after t seconds. Describe the height, rounded to the nearest tenth of a foot, of the basketball after 1.5 seconds, assuming no other player touches the ball.

Click here to see answer by Alan3354(69443)

Question 1072781: If p and q are the roots of the equation 2x^2-x-4=0. Find the equation whose roots are p-q/p and q-p/q
Click here to see answer by Fombitz(32388)

Question 1072781: If p and q are the roots of the equation 2x^2-x-4=0. Find the equation whose roots are p-q/p and q-p/q
Click here to see answer by youngguru23(3)

Question 1073032: If we transform the parabola y = (x + 1)^2 + 2 by shifting 7 units to the right and 5 units down, what is the vertex of the resulting parabola?
Click here to see answer by ikleyn(52781)

Question 1073033: In two or more complete sentences, compare the number of x-intercepts in the graph of f(x) = x^2 to the number of x-intercepts in the graph of g(x) = -x^2 -5. Be sure to include the transformations that occurred between the parent function f(x) and its image g(x).

Click here to see answer by josgarithmetic(39617)

Question 1073053: The volume of a box is 405 in . The length is x inches, the width is (x+4) inches, and the height is 9. In inches, what are the dimensions of the box?
Click here to see answer by jorel1380(3719)

Question 1073054: The price p in dollars for a particular stock can be modeled by the quadratic equation p = 3.5t^2 .05t, where t represents the number of days after the stock is purchased. When is the stock worth $60?
Click here to see answer by ankor@dixie-net.com(22740)

Question 1073083: Solve 2x^2 + 12x � 3 = 0. What steps did you use to solve this quadratic equation?
Click here to see answer by josgarithmetic(39617)

Question 1073083: Solve 2x^2 + 12x � 3 = 0. What steps did you use to solve this quadratic equation?
Click here to see answer by ikleyn(52781)

Question 1073158: 4�3y + 5 sqrt (3y) - 21=0
Click here to see answer by ikleyn(52781)

Question 1073194: Write an equation of the line (3,7) and parallel to y=3x−8. Write the equation in the form x=a, y=b, or y=mx+b.
Click here to see answer by ankor@dixie-net.com(22740)

Question 1073188: Find g(-6) if
g(x)= x^2+4x
_______
x+3
Click here to see answer by josgarithmetic(39617)

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