Questions on Algebra: Quadratic Equation answered by real tutors!

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> Questions on Algebra: Quadratic Equation answered by real tutors!      Log On


   



Tutors Answer Your Questions about Quadratic Equations (FREE)


Question 955017: A horse runs along the road. Its distance from the lamp post P on the side of the road is measured at different times, t, and has the form d(t)=at^2+bt+5
The distances are recorded in the table below:
Time(in seconds) 1 2 3 4 5 6
Distance(meters) 10 17 g 37 h 65
So 1 corresponds with 10 and 2 with 17 and so forth.
Determine the values of a and b, for d(t)=at^2+bt+5
(1) a=1 and b=4
(2) a=19/3 (6.33333..) and b=-4/3 (-1.33333..)
(3) a=-9 and b=24
(4) a=6 and b=-1
(5) or none of the above

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

Question 955248: What are the solutions of a^2 + 5^2 = 260^2 ?
Click here to see answer by Fombitz(32388) About Me 

Question 955336: What are the solutions to the equation?
x^2+2x-24=0

Click here to see answer by Fombitz(32388) About Me 
Question 955336: What are the solutions to the equation?
x^2+2x-24=0

Click here to see answer by checkley77(12844) About Me 

Question 955338: What are the solutions to the equation?
x^2=-4x+21
Use the quadratic formula to solve:
x^2+5x+1=0

Click here to see answer by MathLover1(20849) About Me 

Question 955385: what is quadratic equations

Click here to see answer by Fombitz(32388) About Me 
Question 955385: what is quadratic equations

Click here to see answer by macston(5194) About Me 

Question 955411: find the value of k for (k-1)x^2+(k-1)x+1=0
Click here to see answer by Fombitz(32388) About Me 

Question 955517: A small rock sits on the edge of a tall building. A strong wind blows the rock off the edge. The distance, in feet, between the rock and the ground tseconds after the rock leaves the edge is given by d=−16t2−4t+472.
How many seconds after the rock leaves the edge is it 460feet from the ground?
How many seconds after the rock leaves the edge does it hit the ground?

If the answer is not an integer, enter it as a decimal. Round to the nearest hundredth, if needed.

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

Question 955639: Please help me.
Solve the following equations by completing the square. Leave your answer in surd form.
1) 2x²-6x+1=0
2) 3x²-6x-1=0

Click here to see answer by MathLover1(20849) About Me 

Question 955784: if one root of the equation (p^2+2)x^2+7x+3p=0 is the reciprocal of the another then find the value of p

Click here to see answer by MathLover1(20849) About Me 

Question 955813: can you help me with this problem?
Two consecutive numbers can be represented by x and x+1. The product of two consecutive numbers is equal to 35 more than 11 times the sum of the numbers. Write a quadratic equation represent the situation.
I got (x)(x+1)= and that's it. Can you help me by showing your work, not so I can copy, but because I have absolutely no idea how to solve this problem. Thank you :)

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

Question 955837: What does the explicit equation for ALL linear equations look like? Label the rate and the y-interecept
Click here to see answer by stanbon(75887) About Me 

Question 955845: A small rock sits on the edge of a tall building. A strong wind blows the rock off the edge. The distance, in feet, between the rock and the ground tseconds after the rock leaves the edge is given by d=−16t2−7t+500.
If the answer is not an integer, enter it as a decimal. Round to the nearest hundredth, if needed.
How many seconds after the rock leaves the edge is it 461feet from the ground?
How many seconds after the rock leaves the edge does it hit the ground?

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

Question 955836: What does the explicit equation for ALL exponential equations look like? Label the rate and the y-intercept
Click here to see answer by stanbon(75887) About Me 

Question 955844: A ladder of length 2x+1feet is positioned against a wall such that the bottom is x−1feet away from a wall. The distance between the floor and the top of the ladder is 2xfeet.
Find the length, in feet, of the ladder.
Assume that a right angle is formed by the wall and the floor.

Click here to see answer by macston(5194) About Me 

Question 955843: At a tennis club, a 18,000ft2 rectangular area is partitioned into three rectangular courts of equal size. A total of 920feet of fencing is used to enclose the three courts, including the interior sides. What are the possible dimensions, in feet, of the entire rectangular area?
Select all that apply.

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

Question 955833: Write the quadratic equation below in standard form. Identify the value of a,b, and c.
3(x+4)squared -2=0
a=
b=
c=

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

Question 955980: what is 2x+2=?
Click here to see answer by Fombitz(32388) About Me 

Question 955832: Write the quadratic equation below in standard form. Identify the value of a,b, and c.
y= 2(x-5) squared
a=
b=
c=

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

Question 956079: Find the discriminant of each quadratic equation.
A) x^2+4x+9=0
B) 2x^2+3x=0

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

Question 956107: Find the quadratic equation of a parabola. The dimensions are 7 m wide and 4 m high those are the required values.
Click here to see answer by Fombitz(32388) About Me 

Question 956078: Write a quadratic function in vertex form. Write the equation for the axis of symmetry of the parabola.
Click here to see answer by Fombitz(32388) About Me 

Question 956112: Factor 9m squared -1
Click here to see answer by Fombitz(32388) About Me 

Question 956114: "Question 956107"
"A parabola does not have a width and height.
Can you explain what you mean by 7 m wide and 4 m high? Above the x-axis? Below?
Please repost."
This is a repost. basically what I meant by it is:
Design a house with the front facade in the shape of a parabola. The dimensions of the parabola, 7m's wide by 4m's high. Find the quadratic equation of the parabola design.

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

Question 956118: Okay, I'm sorry but I really don't understand what you did there. To specify a bit more.
The dimensions of the facade of the house, should be 7m wide and 4 ms high, it should be a parabola, use the origin of the parabola as one corner. Find the quadratic equation to that.

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

Question 956147: The dimensions of the facade of the house, should be 7m wide and 4 ms high, it should be a parabola, use the origin of the parabola as one corner. Find the quadratic equation to that.
--------------
3 points are (0,0), (3.5,4) and (7,0)
y = ax^2 + bx + c
At x = 0, y = 0 --> c = 0
----
At x = 7, y = 0
49a + 7b = 0
7a + b = 0
b = -7a
---
At x = 3.5, y = 4
12.25a + 3.5b = 4
Sub for b
12.25a - 24.5a = 4
-12.25a = 4
a = -16/49
---
b = 16/7
-------------
And then they got
y=16x^2/49+16x/7
What I am wondering is how you got there, because I have looked very hard a it and can not make sense of it, would someone please explain the process a bit more clearly?

Click here to see answer by MathLover1(20849) About Me 

Question 956343: What number should be added to the expression x2 + 10x to change it into a perfect square trinomial?

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

Question 956406: 1. Determine the domain and range for f(x)=3+√(x-5).
2. Given that f(x)=3+√(x-5) and g(x)=tan x. determine fog(x).

Click here to see answer by Edwin McCravy(20054) About Me 

Question 956556: yo wat up cuh. how u doin my nigga? its been mad long since i seen u. we was lit cuh
Click here to see answer by Alan3354(69443) About Me 

Question 956611: solve the following equation in quadratic form: 2x^2/3-3x^1/3-2=0
Click here to see answer by lwsshak3(11628) About Me 

Question 956618: In a natural gas pipeline, the velocity v (in m/s) of the gas as a function of the distance x (in cm) from the wall of the pipe is given by v = 5.2x - x^2 . Determine x for v = 4.8 m/s.
Click here to see answer by amarjeeth123(569) About Me 

Question 956644: A computer can sort x objects in t seconds, as modeled by the function below:
t = 0.003x^2 + 0.001x
How many objects are required to keep the computer busy for exactly 7 seconds?
Round to the nearest whole object.

(Please help me, thank you)

Click here to see answer by stanbon(75887) About Me 
Question 956644: A computer can sort x objects in t seconds, as modeled by the function below:
t = 0.003x^2 + 0.001x
How many objects are required to keep the computer busy for exactly 7 seconds?
Round to the nearest whole object.

(Please help me, thank you)

Click here to see answer by Theo(13342) About Me 

Question 956636: The dimensions of the facade of the house, should be 7m wide and 4 ms high, it should be a parabola, use the origin of the parabola as one corner. Find the quadratic equation to that.
--------------
3 points are (0,0), (3.5,4) and (7,0)
y = ax^2 + bx + c
At x = 0, y = 0 --> c = 0
----
At x = 7, y = 0
49a + 7b = 0
7a + b = 0
b = -7a
---
At x = 3.5, y = 4
12.25a + 3.5b = 4
Sub for b
12.25a - 24.5a = 4
-12.25a = 4
a = -16/49
---
b = 16/7
-------------
And then they got
y=16x^2/49+16x/7
I do not understand the process here, I am practicing for my exam and this on the practice exam, could someone please explain the process clearly to me? That would be greatly appreciated

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

Question 956634: Sketch the graph of y = x^2 + 1.
Click here to see answer by Fombitz(32388) About Me 

Question 956808: find the zeros of the following equation:
x^4 + 30x^2 - 99

Click here to see answer by rfer(16322) About Me 

Question 956891: solve the following quadratic equations using the completing the squares.
A.) x2 + 6x - 12 = 0
B.) x2 + 2x = 24

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

Question 956953: Simplify
CUBERT(-27)



Click here to see answer by macston(5194) About Me 

Question 956954: Simplify
3/[SQRT(5) - 2]

Click here to see answer by macston(5194) About Me 

Question 956948: Solve for x

(x - 2)(x + 1) = 4



Click here to see answer by macston(5194) About Me 

Question 957003: y = x2+ 13x + 36

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

Question 957061: i need help on this question and how to do step by step
y=x^2-12x-9

Click here to see answer by rfer(16322) About Me 

Question 957155: What is the value of the discriminant in the equation shown below?
x^2-4x+10=0

(please help me, thank you)

Click here to see answer by josgarithmetic(39616) About Me 
Question 957155: What is the value of the discriminant in the equation shown below?
x^2-4x+10=0

(please help me, thank you)

Click here to see answer by MathTherapy(10551) 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