Questions on Algebra: Quadratic Equation answered by real tutors!

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Question 593458: I need help with this quadratic equation word problem.
Working alone, Colleen can paint a house in 2 hours less than James. Working together, they can paint the house in 10 hours. How long would it take James to paint the house by himself?

Click here to see answer by mananth(12270)

Question 593460: Together Maria and Johannes can pick a bushel of apples in 16 minutes. Maria takes 4 minutes more to pick a bushel than Johannes does. Find the time it takes each person to pick a bushel of apples alone.
Click here to see answer by josmiceli(9687)

Question 593497: Solve equation using the quadratic formula. x^2+25=0. Please show me the steps.
Click here to see answer by Alan3354(30993)

Question 593517: Solve equation using the quadratic formula. 12x^2= 48. Please show me the steps.
Click here to see answer by mananth(12270)

Question 593544: 5x^2-x=4x^2+12
Click here to see answer by nerdybill(6962)

Question 593599: Find the roots of 2x^2-5x+1=0.
Thank you so much, everybody! I really appreciate this!

Click here to see answer by richwmiller(9143)

Question 593740: Write a quadratic equation that has integer coefficients and has as solutions the given pair of numbers 5 and 1
Click here to see answer by bucky(2189)

Question 593873: (3b/6)+2b=10
Click here to see answer by Eva18(13)

Question 593868: stuck. after (3u-1)^2... becomes u=1/3... to finish i must solve x+3/x+2=1/3
Click here to see answer by Eva18(13)

Question 593862: PLEASE HELP!! I don't understand how to figure this out. Do I have to find the vertex? Put it in a quadratic equation????
Parker’s Skateboard Shop has determined that when x skateboards are built, the average cost C per skateboard is given by C=x^2-80x+1625 . How many skateboards should the shop build in order to minimize the average cost per skateboard?
Tips: Since # skateboards = x in our situation, find the x-value of the minimum (vertex).

What is the minimum average cost?
Tips: Plug in 2a into cost equation
Click here to see answer by scott8148(6628)

Question 593803: Suppose you are an event coordinator for a large performance theater. One of the hottest new Broadway musicals has started to tour and your city is the first stop on the tour. You need to supply information about projected ticket sales to the box office manager. The box office manager uses this information to anticipate staffing needs until the tickets sell out. You provide the manager with a quadratic equation that models the expected number of ticket sales for each day x. ( is the day tickets go on sale).

Does the graph of this equation open up or down? How did you determine this?
Your Solution - Show your Work Below

Describe what happens to the tickets sales as time passes.
Your Solution - Show your Work Below

Use the quadratic formula to determine the last day that tickets will be sold.
Rachel’s Tips: The last day is when tickets = 0. Solve for x. Write your answer in terms of the number of days after ticket sales begin (use a whole number).
Your Solution – Show your Work Below

Will tickets peak or be at a low during the middle of the sale? How do you know?
Rachel’s Tips: In other words, will there be a max (peak) or min (low) in this situation?
Your Solution - Show your Work Below
After how many days will the peak or low occur?
Rachel’s Tips: Since # days = x in our situation, find the x-value of the max/min (vertex).
Your Solution - Show your Work Below

How many tickets will be sold on the day when the peak or low occurs?
Rachel’s Tips: Plug 1e into equation from 1a.
Your Solution – Show your Work Below
How many real-number solutions are there to the equation ? How do you know?
Your Solution – Show your Work Below
Is there a solution that does not make sense? If so, in what ways does the solution not make sense?
Your Solution – Show your Work Below
Parker’s Skateboard Shop has determined that when x skateboards are built, the average cost C per skateboard is given by . How many skateboards should the shop build in order to minimize the average cost per skateboard?
Rachel’s Tips: Since # skateboards = x in our situation, find the x-value of the minimum (vertex).
Your Solution – Show your Work Below
What is the minimum average cost?
Rachel’s Tips: Plug 2a into cost equation.
Your Solution – Show your Work Below

Click here to see answer by richard1234(5390)

Question 593595: If a stone is tossed from the top of a 230 meter building, the height of the stone as a function of time is given by h(t) = -9.8t^2 – 10t + 230, where t is in seconds, and height is in meters. After how many seconds will the stone hit the ground? Round to the nearest hundredth’s place; include units in your answer.
Click here to see answer by ankor@dixie-net.com(15657)

Question 593994: Help! I find myself getting confused when working with negative numbers. Can someone help with this problem and also explain it as well. Thanks so much!
Write a quadratic equation in the variable x having the given numbers as solutions. Write the equation in standard form, ax^2+bx+c=0. The solutions are; -11,7.
Click here to see answer by Alan3354(30993)

Question 593997: a rocket is launched from an 18-foot cliff with an initial velocity of 80 feet per second. the height above the ground of the rocket t seconds after launch is given by the equation h= -16^2+80t+18. hjow long after the rocket is launched will it hit the ground? round your answer to the nearest tenth.
Click here to see answer by Alan3354(30993)

Question 594095: cual seria la tabla de tabulacion de esta ecuacion 2x^2-3x-9=0
Click here to see answer by tutorcecilia(2152)

Question 594097: 3x^2=10x solve by quadratic formula without imaginary numbers.please show me the steps,
Click here to see answer by jim_thompson5910(28595)

Question 594106: 5x^2-3=0 solve by quadratic formula without imaginary numbers.
Click here to see answer by jim_thompson5910(28595)

Question 594106: 5x^2-3=0 solve by quadratic formula without imaginary numbers.
Click here to see answer by Alan3354(30993)

Question 594223: Solve by using quadratic formula:
(r-4)(r+12)=16
Click here to see answer by rfer(12662)

Question 594223: Solve by using quadratic formula:
(r-4)(r+12)=16
Click here to see answer by Alan3354(30993)

Question 594308: Explain why there is no real solution to the quadratic equation
Click here to see answer by unlockmath(1602)

Question 594480: This is a quadratic equation that I must solve.
15x-35y+90
I need all of the steps so I can understand it better for the next equation.
Click here to see answer by richwmiller(9143)

Question 594519: Factor each Polynomial, if possible. if not write prime.
10y^2-31y+15

Click here to see answer by scott8148(6628)

Question 594535: how do i get 10x^2+9=x into y=ax^2+bx+c to use the quadratic formula?
Click here to see answer by Alan3354(30993)

Question 594556: When using factorizing/completing the square method to solve a quadratic equation, is it necessary that the co-efficcient of the first variable must be positive?
Click here to see answer by stanbon(57377)

Question 594580: What Is The Square Root of -3xSquared+200=8 ?
Click here to see answer by Alan3354(30993)

Question 594263: If you are looking at a graph of a quadratic equation, how do you determine where the solutions are?
Click here to see answer by richard1234(5390)

Question 594701: Given that α and β are the roots of the quadratic equation, 3x²-2x-1=0 , find the value of:
-α+β
-αβ
-α²+β²
Click here to see answer by richard1234(5390)

Question 594724: What are the roots of the equation y=x^2+6x+8?
Click here to see answer by richwmiller(9143)

Question 594750: Can you help me solve for x in this equation?
-6x+6x^2=0
I think the first step is to set both sides to 0...
-6x=0, = (-6/-6x = 0/-6), x = 0
and 6x^2=0(But I do not know how to solve this side?

Is this correct? I get lost after this?
Thanks!!
Juanita
Click here to see answer by bucky(2189)

Question 594779: Hi. It would be a big help if you could answer this question:
An arch bridge's height above the ground, in feet, at a point x feet from it's center is h(x) = -0.00121246x² + 876.
What is the span of the arch at a height of 575 feet above the ground?
Click here to see answer by richwmiller(9143)

Question 594843: How do I figure f'(x) & f''(x) from this function....
f(x) = (x+3)^2/3
I have a problem with understanding exponential fractions....
Click here to see answer by AnlytcPhil(1277)

Question 594912: what are the solutions to this equation using the quadratic formula? X^+12=7x?
i have tried it by reordering it so its in the right format like thi x^2-7x+12=0
and i used the quadratic formula and i got the solutions 25,and 24 but i am not confident with the answers please tell me if im doing this right!!

Click here to see answer by scott8148(6628)

Question 594982: Please help me solve this problem.

I came up with as an answer. Can someone tell me if this is correct?
Click here to see answer by richwmiller(9143)

Question 594955: What are the y-inercepts of the quadratic equation -3(x-1)^2+12
Click here to see answer by Alan3354(30993)

Question 595234: a square with side length a, and a triangle whose base and height both have length b, have the same area. Write an equation for b in terms of a
Click here to see answer by jim_thompson5910(28595)

Question 595244: Not sure what type of problem this is, but is the instructions are to solve each problem. Here is the equation 3x2=-21x-18. here is my answer: 3x2+21x+18=0 3x2+3x+18x+18 3x(x+1) 18(x+1) (3x+18) (x+1) 3x+18=0;x+1=0; 3x=-18; x=-1;x=-6 Is this correct by chance?
Click here to see answer by scott8148(6628)

Question 595341: what is 112/70 as a percent

Click here to see answer by math-vortex(472)

Question 595753: This is the problem 16x squared b squared -64x
Click here to see answer by Alan3354(30993)

Question 595763: A baseball player hits a pop fly. It goes upward with an intial volocity of 30 meters per second. What is the altitude after 2 sec??
Click here to see answer by Alan3354(30993)

Question 595806: Decide how many solutions this equation has:
x2 - 2x + 1 = 0

Click here to see answer by stanbon(57377)

Question 595805: Find the x-intercepts of the graph of the equation:
y = x2 - 1

Click here to see answer by stanbon(57377)

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