Questions on Algebra: Quadratic Equation answered by real tutors!

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Question 1041660: On the annual day of ken school, it was planned ti distribute some sweets equally among 98 students. But 28 of dose students were absent that day. As a result, each of the student present received 4 sweets more. Find the total number of sweets distributed.

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Question 1041822: What would be the direction of opening
of the equation...
y=2(x-1)squared-3

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Question 1041821: What would be the vertex of the equation...
y=2(x-1)squared-3

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Question 1041872: The Height of a triangle is 5 meters greater than the base.
the area of the triangle is 150 square meters. find the length of the base and the height of the triangle.

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Question 1041931: Could you help me solve this problem ?
An object is thrown downward with an initial velocity of 4 ft/s. The relationship between the distance (d) it travels and time (t) in seconds is given by : d=4t%2B15t%5E2
How long does it take the object to fall 135 feet ?
Write a complete sentence answer..
Thank you so much !!!

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Question 1041928: How would I do this complicated problem?
Use the Equation:y=x%5E2-2x-3 to complete the following
a) Find the x - intercepts
b) Find the y - intercepts
c) Find the Vertex
d) Use the information from parts a,b and c to sketch a graph..
I greatly appreciate any and all help very much

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Question 1041956: Hi
How do I solve this problem by Completing the Square?
IS it similar to the Quadratic Formula?
SOLVE:
3x%5E2-9x-12=0
Thank you so much ! I do greatly appreciate it !!!

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Question 1041956: Hi
How do I solve this problem by Completing the Square?
IS it similar to the Quadratic Formula?
SOLVE:
3x%5E2-9x-12=0
Thank you so much ! I do greatly appreciate it !!!

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Question 1042019: How did you transform each equation into a quadratic equation
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Question 1042020: How did you transform each equation into a quadratic equation
What mathematics concept of principle did you apply

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Question 1042026: for what value of k will one of the root of the equation x^-kx+8=0 be twice the other

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Question 1042032: Could you help by Solving this equation by using the Quadratic Formula:?
+%281%2F4%29+x%5E2+%2B+%281%2F4%29+x+-1%2F2+=0+
IS the answer x=1 x=-2
?
Thank you

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Question 1042032: Could you help by Solving this equation by using the Quadratic Formula:?
+%281%2F4%29+x%5E2+%2B+%281%2F4%29+x+-1%2F2+=0+
IS the answer x=1 x=-2
?
Thank you

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Question 1042033: How would I do this equation?
Graph the equation y=3%5E%28-x%29
using the x-vales listed below:
X
-3
-2
-1
0
1
2
3
Thank you

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Question 1042036: Which of the quadratic functions has the narrowest graph?
A. y = –2x2
B. y = –4x2
C. Y equals the quantity 1 divided by 7 end of quantity multiplied by x squared.
D. Y equals the quantity 1 divided by 2 end of quantity multiplied by x squared.

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Question 1042039: The height of a ball thrown upward from the top of a building is given by: h(t)=-16t^2+64t+80
What is the height of the ball at 1 second?
What is the maximum height reached by the ball?
How long will it take for the ball to reach the ground?

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Question 1042054: Solve the equation by completing the square. Round to the nearest hundredth if necessary.
x2-x=25
a. 25.75, –24.75
b. 5.52, –4.52
c. 4.97, 5.02
d. 5.45, –4.45

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Question 1042056: Use the quadratic formula to solve the equation. If necessary, round to the nearest hundredth.
A rocket is launched from atop a 76-foot cliff with an initial velocity of 135 ft/s.
a. Substitute the values into the vertical motion formula h=-16t2+vt+c Let h = 0.
b. Use the quadratic formula find out how long the rocket will take to hit the ground after it is launched. Round to the nearest tenth of a second.

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Question 1042106: Write the quadratic function in the form

g(x)=a(x−h)^2+k

Then, give the vertex of its graph.
g(x)=−2x^2+4x-4

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Question 1042121: By increasing the average speed of motorista by 10 miles per hour he would have save 36 minutes in traveling a distance of 120 miles. Find the average speed.
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Question 1042121: By increasing the average speed of motorista by 10 miles per hour he would have save 36 minutes in traveling a distance of 120 miles. Find the average speed.
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Question 1042119: Two pipes together can fill the reservoir in 6 hours and 40 minutes. Find the time each alone will take to fill the reservoir if one of the pipes can fill it in 3 hours less than the other.
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Question 1042119: Two pipes together can fill the reservoir in 6 hours and 40 minutes. Find the time each alone will take to fill the reservoir if one of the pipes can fill it in 3 hours less than the other.
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Question 1042130: A swimming pool has dimensions, in meters, given by the roots of the quadratic equation x2 - 25x + 150 = 0
Solve the equation to find the width and length of the pool

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Question 1042144: In a tsunami, the height, in meters, of the highest wave, is one of the roots of the equation 2h2 - 29h - 15 = 0
a) Determine the roots of the equation 2h2 - 29h - 15 = 0 (2 marks)
b) How can you tell which of the roots will provide the answer to the problem?

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Question 1042144: In a tsunami, the height, in meters, of the highest wave, is one of the roots of the equation 2h2 - 29h - 15 = 0
a) Determine the roots of the equation 2h2 - 29h - 15 = 0 (2 marks)
b) How can you tell which of the roots will provide the answer to the problem?

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Question 1042142: A soccer ball is kicked by a goalkeeper. The height of the ball is given by the equation h = 25t - 5t2, where h is the height in meters, and t is the time in seconds the ball is in the air. Solving the equation h = 0 will determine the times the ball is at ground level.
Solve the equation 25t - 5t2 = 0 to determine how long the ball is in the air

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Question 1042142: A soccer ball is kicked by a goalkeeper. The height of the ball is given by the equation h = 25t - 5t2, where h is the height in meters, and t is the time in seconds the ball is in the air. Solving the equation h = 0 will determine the times the ball is at ground level.
Solve the equation 25t - 5t2 = 0 to determine how long the ball is in the air

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Question 1042161: 2b^3(8b+5b^5)
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Question 1042163: . Determine the y-intercept and the vertex of the of the parabola y = 2x^2+8x+12. Are there any x-intercepts.
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Question 1042171: Good Evening !
What is the Inverse of the function h(x)=3x-2 ?
Thank you so much

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Question 1042171: Good Evening !
What is the Inverse of the function h(x)=3x-2 ?
Thank you so much

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Question 1042181: Factorise the following expressions completely
2(5x+10y)(2y-x)^2-4(6y+3x)(x-2y)

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Question 1042264: I tried this problem 5x^2+4x+1=0 here is what I did
(5x+4x)(X+1)=
(9X)=0 (X+1)=0
X=9 OR X=1
when I checked it it said no like terms Why?
And thank you for your time.
Deb



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Question 1042424: amber is 3 years younger than her older sister,and 2 years older than her younger sister.the product of ambers age and her younger sisters age is subtracted from the product of ambers age and her older sisters age.the answer is 40.how old is amber?
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Question 1042416: f(x){ x^2 - 1 if x ≤ 0
{2x - 1 if 0< x ≤ 5
{ 3 if x > 5
Determine the domain, range, x-intercept and y-intercept. Please and thank you :D

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Question 1042518: I know I had asked this question a few days ago, but I am still lost on how to get y=3%5E%28-x%29
X
-3 would the y be 27?
-2 would the y be 9?
-1 would the y be 3?
0
1
2
3
Thank you for all of your help, I do appreciate it !

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Question 1042517: If you rent a car for one day and drive it for 100 miles, the cost is $40.00. If you drive it 220 miles, the cost is $46.00.
Choose the linear equation that would represent the data points.

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Question 1042582: HI, how would you write these equations in its equivalent Logarithmic form?
1.. %281%2F3%29%5E-2=9
2.. 32=2%5E5
Thank you so much in advance, I do greatly appreciate all the help !!!

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Question 1042582: HI, how would you write these equations in its equivalent Logarithmic form?
1.. %281%2F3%29%5E-2=9
2.. 32=2%5E5
Thank you so much in advance, I do greatly appreciate all the help !!!

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Question 1042612: Assuming a linear equation fits the data, what would be the weight for the height of a 6' 1" person?Height Weight5' 5" 150 lbs5' 7" 155 lbs6' 1" ?.
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Question 1042332: please help me to solve this equation.thank u
2/t - 3t/2 =7
3/x + 4/2x=x-1
6/s+5 + s-5/2=3
2/r-1 + 4/r+5 =7

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Question 1042615: A school record in a certain race in 1960 was 3.8 minutes. In 1980 the school record in the same event was 3.65 minutes.Choose the linear equation for these data points.(y=-.0075x+18.5),(y=.0075x-18.5), (y=.0075x 0.18.5)
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Question 1042623: A height-weight chart provides the following data:Height Weight
5' 5" 150 lbs
5' 7" 155 lbs
6' 1" ?
Assuming a linear equation fits the data, what would be the weight for the height of a 6' 1" person?

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Question 1042654: Solve and show your work by completing the square.
x^2+3x-1=0
I have add 1 to both sides giving me x^2+3x=1 My example says half the 3 which would give me 1.5 and then square it but I am not getting an answer that my work program will except.

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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