Questions on Algebra: Quadratic Equation answered by real tutors!

Tutors Answer Your Questions about Quadratic Equations (FREE)

Question 1133704: A projectile is thrown upward so that its distance above the ground after t seconds is given by the function h(t) = -16t2 + 576t. After how many seconds does the projectile take to reach its maximum height?
Click here to see answer by ankor@dixie-net.com(22740)

Question 1133839: The product of two consecutive integers is 19 more than their sum. Find the integers. Write an equation and solve.
Click here to see answer by Boreal(15235)

Question 1133842: Find three consecutive even integers such that the sum of the middle two is 1/4 the product of the second and three integers, write an equation and solve.
Click here to see answer by htmentor(1343)

Question 1133845: Find three consecutive even integers such that the sum of the smaller two is 1/4 the product of the second and third integers, write an equation and solve
Click here to see answer by Alan3354(69443)

Question 1133862: Find three consecutive integers such that the square of the largest is 22 more than the product of the smaller two. Write an equation, and solve.
Click here to see answer by josgarithmetic(39613)

Question 1133882: Find the lengths of the sides of the right triangle. x, x+7, 2x+1.
Click here to see answer by algebrahouse.com(1659)

Question 1133898: Find the lengths of the sides of the right triangle. 1/2 x , x+3 , x+2,
Click here to see answer by josgarithmetic(39613)

Question 1133898: Find the lengths of the sides of the right triangle. 1/2 x , x+3 , x+2,
Click here to see answer by MathLover1(20849)

Question 1133877: Find the lengths of the sides of each right triangle. x, x+7, 2x+1.
Click here to see answer by josgarithmetic(39613)

Question 1133899: From a bike shop, Rama pedals due north while Sam rides due west. When Sam is 4 mi from the shop, the distance between her and Rama is two miles more than Rama’s distance from the bike shop. Find the distance between Rama and Sam.
Click here to see answer by Boreal(15235)

Question 1133934: Given that p is a root of equations x^2-x-q=0 and -x^2-7x+q+8=0, find the values of p and q
Click here to see answer by algebrahouse.com(1659)

Question 1133939: Find the range of values of k, such that the straight line does not intersect the curve .
Click here to see answer by greenestamps(13195)

Question 1133939: Find the range of values of k, such that the straight line does not intersect the curve .
Click here to see answer by JaydenX(2)

Question 1133980: The hypotenuse of a right triangle is 2 in longer than the longer leg. The shorter leg measures 2 in less than the longer leg. Find the measure of the longer leg of the triangle.
Click here to see answer by Glaviolette(140)

Question 1133975: At a fireworks stand show, a 3 in shell is shot from a mortar at an angle of 75 degree. The height, y (in feet) , of the shell t sec after being shot from the mortar is given by the quadratic equation
Y= - 16t^2 + 144 and the horizontal distance of the shell from the mortar, x ( in feet), is given by the linear equation x=39t.
A) How high is the shell after 3 seconds?
B) What is the shell’s horizontal distance from the mortar after 3 seconds?
C) The maximum height is reached when the shell explodes. How high is the shell when it burst after 4.5 seconds?
D) What is the shell’s horizontal distance from launching point when it explodes? ( Round to the nearest foot).
Click here to see answer by Glaviolette(140)

Question 1133992: The senior class at Richmont High School is selling t-shirts to raise money for its prom. The equation R(p) = - 25p2 + 600p describes the revenue, R, in dollar s, as a function of the price, p, in dollars, of a t-shirt . That is, the revenue is a function of price.
a) Determine the revenue if the group sells each shirt for $10.
b) Determine the revenue if the group sells each shirt for $15.
c) If the senior class hopes to have a revenue of
$3600, how much should it charge for each t-shirt?

Click here to see answer by Glaviolette(140)

Question 1133993: An object is launched upward from the groumf an initial velocity of 200 ft/sec. The height h(in feet)of the object after t sec is given by h(t) = - 16t^2+200t.
a) Find the height of the object after 1 sec.
b) Find the height of the object after 4 sec.
c) When is the object 400 ft above the ground?
d) How long does it take for the object to hit ground?

Click here to see answer by Glaviolette(140)

Question 1133994: If a·b·c=O and also a=5 and b=14,then what does that say for sure about C? EXPLAIN\,VHY this is the case.
Click here to see answer by Glaviolette(140)

Question 1133994: If a·b·c=O and also a=5 and b=14,then what does that say for sure about C? EXPLAIN\,VHY this is the case.
Click here to see answer by josgarithmetic(39613)

Question 1134021: find the value of k so the equation 3x²+kx-2=0 has roots whose sum is equal to 6.
find the value of k so the equation 2x²+(4-k)x-17=0 has roots equal but in opposite sign

Click here to see answer by josgarithmetic(39613)

Question 1134060: The equation -2x^2=13x-45 is not ready for factoring and solving for x explain why. What qualities does it need so that it is ready. Explain how to get. Started solving x..
Click here to see answer by Glaviolette(140)

Question 1134159: The base and height of a triangle whose height is nine more than seven times it’s base what is the base
Click here to see answer by MathLover1(20849)

Question 1134158: The length of a rectangle is 9 cm more than its width what is the width
Click here to see answer by greenestamps(13195)

Question 1134246: Can someone please help?
The cost function for a certain company is C = 40x + 500
and the revenue is given by R = 100x − 0.5x2.
Recall that profit is revenue minus cost. Set up a quadratic equation and find two values of x (production level) that will create a profit of $500.
Click here to see answer by Boreal(15235)

Question 1134352: Find 3 consecutive odd integers if the difference of the squares of the least and greatest is 120.
Click here to see answer by Alan3354(69443)

Question 1134352: Find 3 consecutive odd integers if the difference of the squares of the least and greatest is 120.
Click here to see answer by ankor@dixie-net.com(22740)

Question 1134352: Find 3 consecutive odd integers if the difference of the squares of the least and greatest is 120.
Click here to see answer by MathLover1(20849)

Question 1134411: what does a parabola look like if it has a vertex (0,0) that passes through (4,2)?

Click here to see answer by Boreal(15235)

Question 1134563: Find an equation of the line satisfying the given conditions.
Passing through (4,−3) and perpendicular to the line 5y= -4x/7 + 5
Click here to see answer by josmiceli(19441)

Question 1134566: Find a general linear equation (Ax+By+C=0, where A, B, and C are integers) of the straight line that has the indicated properties, and sketch the line.
Passes through(−4,5) and (3,8)
Click here to see answer by MathLover1(20849)

Question 1134565: Find an equation of the line that passes through (1,2) and that is parallel to y=3x+4.
Give the answer in slope-intercept form.
Click here to see answer by MathLover1(20849)

Question 1134564: Find an equation of the line that passes through (−3,−7) and that is parallel to 4x+7y+14=0.
Give the answer in slope-intercept form.
Click here to see answer by Alan3354(69443)

Question 1134579: Find a linear function h given h(−1) =−6 and h(−4)=−8.
The linear function is h(x)=
(Simplify your answer. Use integers or fractions for any numbers in the expression.)
Click here to see answer by josgarithmetic(39613)

Question 1134689: What is the transformation of the quadratic -3(x + 8)^2 - 10?

Click here to see answer by josgarithmetic(39613)

Question 1134689: What is the transformation of the quadratic -3(x + 8)^2 - 10?

Click here to see answer by MathLover1(20849)

Question 1134764: Find the coordinates of the points of intersection of the parabola y = x2 - ax and the line y = bx - ab.
Click here to see answer by ikleyn(52751)

Question 1134798: y=h(x), where y=x^2+x. The graph has been transformed. The new equation is 1/2y=h(2x). What is the simplified version of this equation?
A. 2x^2
B. 2x^2+2
C. 4x^2+4x
D. 8x^2+4x
Click here to see answer by MathLover1(20849)

Question 1134845: A right triangle has one angle that measures 5°. What is the measure of the other acute angle?
Click here to see answer by MathLover1(20849)

Question 1134845: A right triangle has one angle that measures 5°. What is the measure of the other acute angle?
Click here to see answer by MathTherapy(10549)

Question 1134883: Show that the equation has roots which are different if
Click here to see answer by MathLover1(20849)

Question 1135282: Write a quadratic function in vertex form whose graph has the vertex (−5, −1)
and passes through the point (−2, 2)
Click here to see answer by MathLover1(20849)

Question 1135281: Write a quadratic function in vertex form whose graph has the vertex(-3,5) and passes through the point (0,−14)

Click here to see answer by MathLover1(20849)

Question 1135431: The product of 2 consecutive integers is 182. Find two pairs of integers that have this product. Give details.
Click here to see answer by ikleyn(52751)

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