Questions on Algebra: Quadratic Equation answered by real tutors!

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Question 969101: What is the Maximum height ball reaches
H(t) = -2t with an exponent 2 + 20t + 10

Click here to see answer by Fombitz(32388) About Me 

Question 969187: A model rocket is launched from a platform and its height h metres is given as a function of the elapsed time t seconds by h=-4.9t*2+180t+2. Determine the following:
a)The maximum height of the rocket
b)The time required for the rocket to reach its maximum height
c)The time required for the rocket to reach the ground
Thanks!

Click here to see answer by Alan3354(69443) About Me 

Question 968613: Graph the equation
y=x^2-2x-3

Click here to see answer by Fombitz(32388) About Me 

Question 969380: Hello. I am trying to factor this equation 15x^2 - 24x - 12. I then multiplied 15 x -12 = -180. From here I need to found -30 x 6 which if you subtract 6 from -30 = -24. so now the equation looks like this:
15x^2 + 6x - 30x - 12. So I divide: 15x^2 + 6x/2x and -30x-12/-6 which now gave me 3x(5x+2)-6(5x+2) I continue to think my answer is (5x+2)(3x-6). unfortunately, the answer key has the answer as 3(5x+2)(x-2) what did I do wrong? Please help me.

Click here to see answer by josgarithmetic(39616) About Me 
Question 969380: Hello. I am trying to factor this equation 15x^2 - 24x - 12. I then multiplied 15 x -12 = -180. From here I need to found -30 x 6 which if you subtract 6 from -30 = -24. so now the equation looks like this:
15x^2 + 6x - 30x - 12. So I divide: 15x^2 + 6x/2x and -30x-12/-6 which now gave me 3x(5x+2)-6(5x+2) I continue to think my answer is (5x+2)(3x-6). unfortunately, the answer key has the answer as 3(5x+2)(x-2) what did I do wrong? Please help me.

Click here to see answer by MathTherapy(10551) About Me 

Question 969396: if p(x)=x²-2√2x+1 then find the value of p(2√2)
Click here to see answer by Boreal(15235) About Me 

Question 969451: A rocket is launched from a cliff and it can be represented by the following function. h(t)= -16t squared + 80t + 384, where x is the time in seconds and h is the height of the rocket. How long did it take the rocket to reach the maximum height?
Click here to see answer by Boreal(15235) About Me 

Question 969450: A rocket is launched from a cliff and it can be represented by the following function. h(t)= -16t squared + 80t + 384, where x is the time in seconds and h is the height of the rocket. Identify the zeroes of the function.
What is the height of the rocket?

Click here to see answer by lwsshak3(11628) About Me 

Question 969616: Solve the equation using the quadratic formula.
x^2+11x+7=0
The solution set is { }.
(Type an exact answer, using radicals as needed. Use a comma to separate answers as needed.)

Click here to see answer by erica65404(394) About Me 

Question 969827: A ball is thrown upward from a height of 15 feet with an initial velocity of 5 ft/s. use the formula h(t) = -16t^2 + 5t + 15. How long will it take the ball to reach it's maximum height and how long will it take the ball to hit the ground?
Click here to see answer by Alan3354(69443) About Me 

Question 969823: A ball is thrown upward from a height of 15 feet with an initial velocity of 5 ft/s. use the formula h(t) = -16t^2 + 5t + 15 what is the maximum height the maximum height of the ball?
Click here to see answer by lwsshak3(11628) About Me 

Question 970039: Solve this equation by using the quadratic formula. 3/x-7+4/x+2=1
Click here to see answer by thesvw(77) About Me 

Question 970087: A toy rocket is launched vertically upward from ground level with an initial velocity of 128 feet per second. The height, h is given by the equation h(t)=-16t^2+128t (without any air resistance)
How long will it take for the rocket to reach its maximum height?
What is the maximum height of the rocket?
How long will it take for the rocket to return to the ground?
After how many seconds will the rocket be 112 feet above the ground?
Why is the equation including h(t)= rather then y=?

Click here to see answer by Boreal(15235) About Me 

Question 970265: 3x^2+40x-128=0
Click here to see answer by ankor@dixie-net.com(22740) About Me 
Question 970265: 3x^2+40x-128=0
Click here to see answer by MathLover1(20849) About Me 

Question 970339: If +2x%5E2%2B6x%2Bc=0+ has exactly one solution, what is the value of c?
Click here to see answer by rothauserc(4718) About Me 

Question 970359: Hugh Betcha launched a model rocket with an initial speed of 88 feet per second. After how many seconds will the rocket be 40 feet high? Note: The approximate height h (in feet) is modeled by: h=-16t^2+vt, where t is the time in motion (in seconds) and v is the initial upward velocity (in feet per second).
Click here to see answer by amarjeeth123(569) About Me 

Question 970358: Joe Goodnuff had been eating on a square card table until he bought a new rectangular dining table. The new table is 2 ft longer and 1 ft wider than the card table. It has an area of 24.75 ft^2. How long was a side of his old square card table? Use the quadratic equation to solve this word problem.
Click here to see answer by amarjeeth123(569) About Me 

Question 970360: Each of the "golden arches" at a McDonald's restaurant is in the shape of a parabola. Each arch is modeled by: h(x) = -x^2 + 6x, where h(x) is the height of the arch (in feet) at a distance x (in feet) from one side. Find the equation of the axis of symmetry, and how high is the arch at the axis of symmetry?
Click here to see answer by amarjeeth123(569) About Me 

Question 970354: How would i find the zeros of
Y=x^2+3x+18

Click here to see answer by josgarithmetic(39616) About Me 
Question 970354: How would i find the zeros of
Y=x^2+3x+18

Click here to see answer by MathTherapy(10551) About Me 

Question 970516: A model rocket is launched from the ground with an initial velocity of 160 feet/second. How long will it take the rocket to reach maximum height?
Assume the model rocket's parachute failed to deploy and the rocket fell back to the ground. How long would it take the rocket to return to earth from the time it was launched?

Click here to see answer by jim_thompson5910(35256) About Me 

Question 970514: Y= x squared minus x minus 20
Click here to see answer by Alan3354(69443) About Me 

Question 970547: If a model rocket is launched from the ground with an initial velocity of 288 feet per second. How long will it take to reach maximum height?
Assume the parachute didn't open. How long would it take the rocket to return to earth?

Click here to see answer by josmiceli(19441) About Me 

Question 970713: A ball is thrown from 4 feet off the ground with a vertical velocity of 30 feet per second.
Is the ball at its maximum height after 1 second?
In two or more complete sentences, explain how you know whether or not the ball is at its maximum height.

Click here to see answer by Boreal(15235) About Me 

Question 970714: What is the vertex to this equation f(x)=(x+3)^-25
Click here to see answer by Alan3354(69443) About Me 

Question 970721: a suspension has two towers that rise 500 feet above the road and connected by cable that hang in the shape of the parabola that can be represented by y=1/8960(x-2100)^2+8, where x and y are measured in feet and x is the distance from the left tower in the direction of the right tower. what is the distance between the two towers?
Click here to see answer by josgarithmetic(39616) About Me 

Question 970710: A football is kicked at 40 yards away from a goal post that is 10 feet high.
Its path is modeled by y = -0.03x^2 + 1.6x, where x is the horizontal distance in yards traveled by the football and y is the corresponding height above the ground in feet.
Does the football go over the goal post? How far above or below the goal post is the football?
Use two or more complete sentences to explain your answers.
(Hint: The unit conversion is built into the given function.)

Click here to see answer by nerdybill(7384) About Me 

Question 970774: Find the vertex, axis of symmetry, and the y-intercept.
y=-3 (x+2) squared +4
Vertex= ______________
Axis of symmetry= _____________
Y-Intercept _______________

Click here to see answer by josgarithmetic(39616) About Me 

Question 970776: Write a quadratic function in standard form whose graph passes through the given points. Use STAT
(1,2), (3,4), (6, -8)
Find the maximum heights.

What is the approximate difference in the maximum height for the parabolas?

Click here to see answer by jim_thompson5910(35256) About Me 
Question 970776: Write a quadratic function in standard form whose graph passes through the given points. Use STAT
(1,2), (3,4), (6, -8)
Find the maximum heights.

What is the approximate difference in the maximum height for the parabolas?

Click here to see answer by Boreal(15235) About Me 

Question 970773: Write a quadratic function in starndard form whose graph passes through the given points. (USE Stat)
(-4, -7), (-3,3), (3, -21)
Find the maximum heights.

What is the approximate difference in the maximum height for the parabolas?

Click here to see answer by Boreal(15235) About Me 

Question 970908: Graph of the function f(x)=2x^2-4x+1 after rewriting it's equation in the form y-k=a(x-h)^2.
Click here to see answer by josgarithmetic(39616) About Me 

Question 970851: 5y^2-11y+12=0
Click here to see answer by algebrahelperer(2) About Me 

Question 971131: ok, i'm stuck. I am trying to solve this quadratic equation by factoring. Can you help me?
The problem is:
x^2-11x+18=0
to find -11, I got -9 x -2 which is equal to =18
so I end up with (x-9)(x-2)=0 now where do i go from here?
is it x-9=0 x-2=0
+9 +9 +2 +2
so the answer is 2,9. but how do i check it.

Click here to see answer by Boreal(15235) About Me 
Question 971131: ok, i'm stuck. I am trying to solve this quadratic equation by factoring. Can you help me?
The problem is:
x^2-11x+18=0
to find -11, I got -9 x -2 which is equal to =18
so I end up with (x-9)(x-2)=0 now where do i go from here?
is it x-9=0 x-2=0
+9 +9 +2 +2
so the answer is 2,9. but how do i check it.

Click here to see answer by stanbon(75887) About Me 

Question 971158: This quadratic equation reversed on me and I need your help
x^2=8x-16
how do i do this?

Click here to see answer by josh_jordan(263) About Me 

Question 971154: Now I'm really stuck. Solving this quadratic equation by factoring so here's my problem:
27^2-3x-2=0
I did this: 27 x -2= -54 so I get -9+6
so I plug these back in: 27^2-9x+6x-2=0 now i'm stuck.
27^2-9x/-9x = -9x(-3x+1) 6x-2/-2= -2(-3x+1)
so now I get (-3x+1)(-9-2) here is where I think i need help
-3x+1/-3= x=-1/3 -9x-2/-9=x+2/9
So do I do this: x-1/3=0 x+2/9=0
+1/3 +1/3 -2/9 -2/9
x=1/3 x=-2/9
Am I right?

Click here to see answer by josh_jordan(263) About Me 

Question 971174: I understand that this problem, x^2=8x-16 should be written like this:
x^2-8x+16=0.
But how do i solve this: x^2+12x=3x-18

Click here to see answer by josh_jordan(263) About Me 
Question 971174: I understand that this problem, x^2=8x-16 should be written like this:
x^2-8x+16=0.
But how do i solve this: x^2+12x=3x-18

Click here to see answer by josgarithmetic(39616) About Me 

Question 971190: These quadratics are killing me. Can you help me with this one?
(x+2)(x+3)=(x+7)(x-4)
I have multiplied and got x^2+6=X^2-28
but where do I go from here? Should I subtract 6 from both sides or add 28 to each side?

Click here to see answer by josgarithmetic(39616) About Me 

Question 971204: a man is x<2 (X square) years old while his son is x years old. In 4X years time ,the man will be twice as old as his son. Form an equation and solve it to find the value of X.
Click here to see answer by josgarithmetic(39616) About Me 
Question 971204: a man is x<2 (X square) years old while his son is x years old. In 4X years time ,the man will be twice as old as his son. Form an equation and solve it to find the value of X.
Click here to see answer by MathTherapy(10551) About Me 

Question 971206: X is a number such that when ( x+1)² is divided by (X-2),the quotient is 16 and the reminder is (X-3).what are the values of X?
Click here to see answer by josgarithmetic(39616) About Me 

Question 971209: Sir I am really sorry for some wrong inputs. I should have written X² instead of (X<2) in my today's first question.
If possible now please answer again.
Kind regards. Ghulam Abbas

Click here to see answer by josgarithmetic(39616) About Me 

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