Questions on Algebra: Quadratic Equation answered by real tutors!

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Question 620173: admission prices for a football game were $6 for adults and $2 dollars for children the total value of tickets sold was $2528 and 454 tickets were sold. how many adults and children attended the game?
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Question 620095: The sides of an equilateral triangle are given as x+3y,3x+2y-2 and 4x+1/2y+1 respectively.Find the lengths of the sides
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Question 620288: precalc
Use synthetic division to divide.

x3 − 343/(x − 7)

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Question 620497: what is name of graph of quaderatic eqn
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Question 620517: The formula A=P(1+r)^2 gives the amount A in dollars that P will grow to in 2 years at interest rate r (where r is given as a decimal), using compound interest. What interest rate will cause $2000 to grow to $2163.20 in 2 years?
The interest rate is___%?
(type an integer or decimal, Round to the nearest tenth of a percent if needed)

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Question 620620: hi, my quadratic equation is (x+5)(x+8) =126.75
ive got these steps with help from a friend but as i need to show my working this wont be enough, i struggle with quadratics, what stages am i missing here?
X^2 + 13X – 86.75 =0
X=4.85782
X=4.85
thanks
Sam

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Question 620716: Solve the equation. (Enter solutions from smallest to largest. If there is no solution, enter NONE in the answer boxes.)
x2 - 5x + 5 = 0

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Question 620919: a pool measuring 18 meters by 28 meters. if the area of the pool and the path combined is 1200 square meters, what is the width?


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Question 621264: Ed bought $2,000 in stock shares one week before the stock price dropped $10.00. If he had waited for the price setback, he could have bought 10 more shares for the same amount. How many shares did he buy?
40, 50, or 60?

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Question 621264: Ed bought $2,000 in stock shares one week before the stock price dropped $10.00. If he had waited for the price setback, he could have bought 10 more shares for the same amount. How many shares did he buy?
40, 50, or 60?

Click here to see answer by Emsley(35) About Me 

Question 621308: when a ball dropped from height of her feet straight down, its height s at time t(in second)is given by formula s=h-16x^2. find the height of a ball dropped from a 500' perch after 5 second
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Question 621340: Given a quadratic equation with rational coefficients with a root of 5-i: a)What is another root to the equation? b) What are the factors of the equation? c) What is the quadratic equation with the given root?
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Question 621340: Given a quadratic equation with rational coefficients with a root of 5-i: a)What is another root to the equation? b) What are the factors of the equation? c) What is the quadratic equation with the given root?
Click here to see answer by jsmallt9(3758) About Me 

Question 621337: Given a quadratic equation with rational coefficients with a root of negative 2/3i: a) What is another root to the equation? b) What are the factors of the equation? c) What is the quadratic equation with the given root?
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Question 621351: Dmitri needs 7 liters of a 24% solution of sulfuric acid for a research project in molecular biology. He has two supplies of sulfuric acid solution: one is an unlimited supply of the 28% solution and the other an unlimited supply of of the 14% solution. How many liters of each solution should Dmitri use?
Click here to see answer by josmiceli(19441) About Me 

Question 621363: Change to equivalent fractions having their LCD. (b-2)/a, 4b/(b+1)
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Question 621373: what is the equation required to create a simple wine glass in a graph and how can we find its volume?
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Question 621485: complete the square x^2+12x=9
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Question 621496: solve
p^2 + p + 4=0
Thank you for any help you may have.

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

Question 621675: In the box, complete the first 4 steps for graphing the quadratic function given. (Use ^ on the keyboard to indicate an exponent.) Then print a sheet of graph paper and graph the quadratic function to turn in to your teacher. Be sure to label the axes and vertex.
y= -x^2 - 4x - 3
--Thanks!(:

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Question 621637: what is the answer of this equation form?
x^2-5x+6=0
please??

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Question 621853: Please help solve the equation (20-x)^2+(20+x)^2=8 including the smaller and larger values of x
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Question 621997: I have a test coming up on Thursday and need help please show steps and what your doing this is really hard for me.

Find all real solutions of the equation (x-6)^2-36=0



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Question 621993: Hello, Please help me solve this problem, and please show all the steps if you can.
5x(1 - x) = 5(x - 2)

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Question 621998: i am doing quadratic equation and i am lost right now my head hurts. someone explain everything you do so i can figure it out. i have to figure what x1 is and x2 how do i figure them out

Solve the equation x^2 - 3 x - 28=0 by factoring.



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Question 622015: quadratic equation i need help showing steps and everything else if you don't mind. a= b = i have to find those


By completing the square, the expression x^2-6 x +99 equals (x+A)^2+B




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Question 622025: I know this is a quadratic equation(word problem)I just can't make it work. This is the last algebra problem I hope to have.
If a stone is tossed from the top of a 250 meter building, the height of the stone as a function of time is given by h(t)= -9.8t^2 - 10t + 250, where t is in seconds, and height is in meters. After how seconds will the stone hit the ground? Round to the nearest hundreths place.
Thanks so much

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Question 622006: i am doing quadratic equation and i need help with how y'all do steps and explanation.
i have to find what a is and b
By completing the square, the expression x^2+16 x +28 equals (x+A)^2+B

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Question 622029: what is it that people divide by when they get to the second step can someone show me in this example with work and solution.


By completing the square, the expression x^2-12 x +198 equals (x+A)^2+B
where A = and B =

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Question 622029: what is it that people divide by when they get to the second step can someone show me in this example with work and solution.


By completing the square, the expression x^2-12 x +198 equals (x+A)^2+B
where A = and B =

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Question 622049: someone help this question makes no sense i need steps so i can learn

Find all real solutions of equation 2 x^2 + 4 x + 7 = 0.
Does the equation have real solutions? Input Yes or No:
If your answer is Yes, input the solutions:

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Question 622049: someone help this question makes no sense i need steps so i can learn

Find all real solutions of equation 2 x^2 + 4 x + 7 = 0.
Does the equation have real solutions? Input Yes or No:
If your answer is Yes, input the solutions:

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Question 622115: I need to write this in interval and set builder notation. I also have to write it out on a number line and this whole topic is a little confusing for me
If you could show work that would be great, thank you.
2x%5E2%2B5x-12%3C0

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Question 622193: I need help this is the last question on my homework and i have been siting here for 30 mins trying to figure it out. he wants us to find x1 and x2 i factored it and got 4, -7 and its wrong someone help me.
Need to find x1 and x2
Solve the equation x^2 - 3 x - 28=0 by factoring.

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Question 622196: Doing word problem and its one of my weakest strength can someone explain to me what this is and how do you find the answer.

A rectangular garden is 5 ft longer than it is wide. Its area is 1050 ft{}^2. What are its dimensions?
Its width equals and its length equals need to find what it width equal and length

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Question 622189: Someone help me figure out this problem please my teacher wants to know x1 and x 2 how do i find them and what are day please give me some steps

Solve the equation x^2 - 8 x - 20=0 by completing the square.

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Question 622222: If an arch is 100 m wide at its base and 100 m high in the middle, find the quadratic relation, in standard form, that models this shape.
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Question 622269: the number of tickets sold each day for an upcoming performance is given by N9x) = -0.4x^2 + 9.6x + 12, where x is the number of days since the concert was first announced. When will daily tickets peak and how many tickets will be sold that day?
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Question 622284: How do I solve 100x^4=-400x^3+2100x^2 ?
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Question 622283: How do I solve (y-6)(y+1)=-12?
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Question 622283: How do I solve (y-6)(y+1)=-12?
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Question 622091: I need to learn this with the reinforcement of detailed instructions on how to get to these final results. Thank you.
The monthly value of a share of ACME Corporation, in dollars, since January 2009 are shown in the table below. The values of the table below model the behavior of a quadratic function when it is graphed.
Month ------ Share Value (in dollars)
0 ------ 55
3 ------ 16
5 ------ 0
7 ------ -8
9 ------ -8
11 ------ 0
13 ------ 16
15 ------ 40
1. Using the table above, find the quadratic equation that represents the monthly value of a share of ACME Corporation since January 2009. Use the variable x to represent the number of months after January 2009 and the variable y to represent the monthly value
2. Find the y-intercept. Interpret the meaning of the y-intercept in relation to the given real-life scenario
3. Find the x-intercepts. Interpret the meaning of the x-intercepts in relation to the given real-life scenario.
4. From the equation you found in problem 1, what is the concavity of the parabola? How do you know? What is the lowest or maximum monthly value of a share of ACME Corporation and when did that occur?
5. Using the quadratic equation you found in problem 1, predict the value of a share of ACME Corporation in October 2010?

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Question 622246: Randy is building a fence at the side of his warehouse. He has 120 m of fencing and plans to use the side of the warehouse as one side of the rectangular fenced area. What are the dimensions of the maximum area Randy can enclose? Use an algebraic method to solve.

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Question 622246: Randy is building a fence at the side of his warehouse. He has 120 m of fencing and plans to use the side of the warehouse as one side of the rectangular fenced area. What are the dimensions of the maximum area Randy can enclose? Use an algebraic method to solve.

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Question 622409: X/A-X - A-X/X = A/X
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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