Questions on Algebra: Quadratic Equation answered by real tutors!

Tutors Answer Your Questions about Quadratic Equations (FREE)

Question 473448: If 7 is the only solution to a quadratic equation, then how would I write it in standard form?
Click here to see answer by karaoz(32)

Question 473515: Hello, I was wondering if you could help me out with this following problems. I have tried them and I am a few issues.
1) x^2 - 3x -10 >(underlined)0
2) X + 1 < 0
over
X - 5
3) 3x - 5 >(underlined)2
over
x + 2
Click here to see answer by stanbon(57415)

Question 473387: Use any method to solve the equation. If necessary, round to the nearest hundredth.
8xˆ2 + 18x -24 = 0

Click here to see answer by MathLover1(6648)

Question 473531: 1. 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).

a. Does the graph of this equation open up or down? How did you determine this?

b. Describe what happens to the tickets sales as time passes.
Ticket sales increase until a peak is reached then the sales decrease
c. Use the quadratic equation to determine the last day that tickets will be sold.
Note. Write your answer in terms of the number of days after ticket sales begin.

d. Will tickets peak or be at a low during the middle of the sale? How do you know?

e. After how many days will the peak or low occur?

f. How many tickets will be sold on the day when the peak or low occurs?

g. What is the point of the vertex? How does this number relate to your answers in parts e. and f?

h. How many solutions are there to the equation ? How do you know?

i. What do the solutions represent? Is there a solution that does not make sense? If so, in what ways does the solution not make sense?
This is what I have so far
0.2x^2 + 12 x + 11
0.2(x^2 -24x + 144 - 144) + 12
0.2(x-24 + 144) + 12+72
0.2*x-12)^2 = 86
The peak would be 12 days after the tickets go on sale and the ticket sale would end in 86 days
Am I on the right track?

Click here to see answer by stanbon(57415)

Question 473532: Aki's Bicycle Designs has determined that when x bicycles are built, the average cost per bicycle is given by C(x) =-0.2x^2-0.1x+9.743, where C(x) is in dollars. How many bicycles should the shop build to minimize the average cost per bicycle?
Click here to see answer by Theo(3472)

Question 473555: I am having a terrible time trying to figure this out.
Suppose you own a strip mall. You want to determine the amount of rent you should charge to maximize your profit. The given equation measure the profit, P (is in thousands of dollars), per square foot of rental space (m is dollars per square foot).

1. Does the graph of this equation open up or down? What algebraic information can you use to determine this?
2. Describe what happens to the profit as the rent per square foot is increased. Discuss the different amounts of profit defined by the graph and the equation.
3. Use the quadratic formula to determine the amounts that should be charged for rent that will give you zero profit. Round the value of m to the nearest tenth of a square foot.
What do the solutions represent? Is there a solution that does not make sense? If so, in what ways does the solution not make sense?

4. Will this equation give you a maximum profit or a minimum profit? How do you know?
5. What price should be charged to reach the maximum or minimum profit?
6. How much profit will you have at the peak or low? Remember that the profit is measured in thousands of dollars. Include the proper units.
7. What is the point of the vertex? Calculate this value. How does this number relate to your answers in numbers 5 and 6?
8. How many solutions are there to the equation ? How do you know? Give an algebraic and a written response.

Click here to see answer by stanbon(57415)

Question 473563: Can anyone help me with this?
Suppose you own a strip mall. You want to determine the amount of rent you should charge to maximize your profit. The given equation measure the profit, P (is in thousands of dollars), per square foot of rental space (m is dollars per square foot).
P(d) = -8.3m^2 + 53.1m - 26.5
1. Does the graph of this equation open up or down? What algebraic information can you use to determine this?
2. Describe what happens to the profit as the rent per square foot is increased. Discuss the different amounts of profit defined by the graph and the equation.
3. Use the quadratic formula to determine the amounts that should be charged for rent that will give you zero profit. Round the value of m to the nearest tenth of a square foot.
What do the solutions represent? Is there a solution that does not make sense? If so, in what ways does the solution not make sense?
4. Will this equation give you a maximum profit or a minimum profit? How do you know?
5. What price should be charged to reach the maximum or minimum profit?
6. How much profit will you have at the peak or low? Remember that the profit is measured in thousands of dollars. Include the proper units.
7. What is the point of the vertex? Calculate this value. How does this number relate to your answers in numbers 5 and 6?
8. How many solutions are there to the equation ? How do you know? Give an algebraic and a written response.

Click here to see answer by stanbon(57415)

Question 473596: Find the x intercepts for the graph of the equation
y=x^2+4x-5
^means raising to that power
Click here to see answer by richard1234(5390)

Question 473636: Find the x and y intercepts.
F(x)=9x^2+24x+16
The y intercept is ____.
(Type an ordered pair.)
The x intercept is ____.
(Type an ordered pair.)

I think that x= -4/3 and y=16 but i just don't know how to correctly type the answer in an ordered pair or if those are correct. Thanks!
Click here to see answer by Tatiana_Stebko(1326)

Question 473635: Solve the formula for the given letter. Assume all values represent nonnegative numbers.
a^2+p^2=g^2
Choose the correct value for a.
A. -√(g^2-p^2)(can also be read as negative sqaure root)
B. √(g^2-p^2)(can also be read as square root)
C. g^2-p^2
D. Not Given.

Click here to see answer by Tatiana_Stebko(1326)

Question 473658: If three times the smaller of two integers is added to four times the larger, the result is 39. Find the smaller integer.
Click here to see answer by Alan3354(30993)

Question 473658: If three times the smaller of two integers is added to four times the larger, the result is 39. Find the smaller integer.
Click here to see answer by stanbon(57415)

Question 473657: The number of non-text books read by college students ranges from 7 to 49. Using B as the variable, write an absolute value inequality that corresponds to this range.
Click here to see answer by stanbon(57415)

Question 473656: In a milling operation, the thickness of the formica sheets that can be produced satisfies the inequality Ix-1.74I < or = to 1.16. What range of thicknesses corresponds to this inequality?
Click here to see answer by stanbon(57415)

Question 473734:
Solve by factoring x2 + 5x - 6 = 0
Click here to see answer by Alan3354(30993)

Question 473734:
Solve by factoring x2 + 5x - 6 = 0
Click here to see answer by rfer(12678)

Question 473776: Please help me solve this problem.
Solve for x.
4x(x-4)-5x(x-3)=0
thank you!
Click here to see answer by sonya(5)

Question 473773: How do I solve this? Please help
c^2-7c-18=0
solution is c=
thanks for your help!
Click here to see answer by Alan3354(30993)

Question 473676: The trajectory of the ball is modelled on the equation y= -x^2/2+3x+8
I need to find how far the ball will be horizontally from the house when it first lands on the ground after being thrown from the balcony.
I,m sure this is very simple to answer but I seem unable to do
Click here to see answer by ankor@dixie-net.com(15664)

Question 473815: Please help me find the exact value of the shortest distance from the origin to each line. This question does not give me a point and I don't know how to do it without. The question is: y=x-4
Click here to see answer by scott8148(6628)

Question 473938: A student opens a math book to two facing pages. The product of the page is 156. Find the page numbers.
The first page is ____.
The second page is ____.
Click here to see answer by jorel1380(2518)

Question 473936: Give exact and approximate solutions to three decimal places.
x^2+7x-3=0
The exact solutions are x= ___(Use radicals as needed. Use a comma to separate your answers.)
The approximate solutions to three decimal places are x= ____(Use a comma to separate answers.)
Click here to see answer by jim_thompson5910(28598)

Question 473941: The width of a rectangle is 2 ft less than the length. The area is 15 ft^2. Find the length and the width.
The width is ___ft.
The length is ___ft.
Click here to see answer by jorel1380(2518)

Question 473948: Solve 3x^2-7x-13=0
What are the solutions? X=___(Type exact solutions using radicals as needed. Express complex numbers in terms of i. Use a comma to separate answers as needed.)
What are the x intercepts?____(Type ordered pairs. Type an exact answer, using radicals as needed. Express complex numbers in terms of i. Use a comma to separate answers as needed.)

Click here to see answer by jorel1380(2518)

Question 473940: A farmer decides to enclose a rectangular garden, using ths side of a barn as one side of the rectangle. What is the maximum area that the farmer can enclose with 100 ft of fence? What should the dimensions of the garden to be to give this area?
The maximum area that the farmer can enclose with 100 ft of fence is ____ sq ft.
The dimensions of the garden to give this area is 50 ft by ___ ft.
Click here to see answer by richard1234(5390)

Question 473954: Determine the nature of the solutions of the equation.
x^2-2x+5=0
The equation has
A. Two non-real numbers.
B. Two real solutions.
C. One real solution.

Click here to see answer by Tatiana_Stebko(1326)

Question 473999: (a+2)(a+3)
Click here to see answer by Tatiana_Stebko(1326)

Question 474010: Give exact and approximate solutions to three decimal places.
(x+5)^2=9
What are the exact solutions?
(Type an exact answer, using radicals as needed. Rationalize all denominators. Express all complex numbers in terms of i. Use a coma to separate your answers.)
Click here to see answer by stanbon(57415)

Question 474144: I have this math problem 5x^2 -7x-3=0. I am thinking there is no solution to this problem but i may be incorrect. The reason I feel this way because I can not find an equation that will equal 7 and come out three. I am really lost.
Click here to see answer by stanbon(57415)

Question 473894: b. Suppose a scientist on Earth throws a baseball upward. The scientist lets go of the ball 2 meters above the ground with an initial velocity of 10 meters per second. How long does it take for the ball to hit the ground (H=0)? (Use the quadratic formula to solve this problem, show all work). Write a statement to interpret your results.
Click here to see answer by ankor@dixie-net.com(15664)

Question 474168: Hi, i've literally tried everything to find out about the quadratic formula; can you help me solve this?

directions say "solve equation with the quadratic formula"
thanks! (:
Click here to see answer by Alan3354(30993)

Question 473950: Find the the line of symmetry, the maximum or minimum value of the quadratic function, and graph the function. f(x)=-2x^2+2x+7
The x coordinate of the vertex is ___. (Type a simplified fraction.)
The y coordinate of the vertex is ___. (Type a simplified fraction.)
The equation of the line of symmetry is x=____. (Type a simplified fraction.)
The maximum/minimum of f(x) is ___ .(Type a simplified fraction.)
Then please draw a picture of the correct graph.

Click here to see answer by ewatrrr(10682)

Question 473895: Find the vertex, the line of symmetry, and the maximum or minimum value of f(x).
f(x)=-(x+8)^2-3
The vertex =
The line of symmetry =
The minimum or maximum value=
Is this maximum or minimum?

Click here to see answer by ewatrrr(10682)

Question 474242: Foe the following equation, state the value of the discriminant and then describe the nature of the solutions
-19x^2-2x+7=0
^means raising to that power
which statement is correct?
a) the equation has 2 imaginary solutions
b) the equation has 2 real solutions
c) the equation has one real solution
Click here to see answer by josmiceli(9697)

Question 474250: solve
6x^4-11x^2+3=0
^means raising to that power
Click here to see answer by solver91311(16897)

Question 474368: what is the quadratic equation with solutions 5 and 4
Click here to see answer by richard1234(5390)

Question 474370: compute the discriminant of the quadratic equation 2x^2-3x-5=0 and then write a brief sentence describing the number and type of solutions for the equation. show your work
Click here to see answer by jorel1380(2518)

Question 474371: Solve for the Root.
6x^2 = 16x - 8
Click here to see answer by jorel1380(2518)

Question 474461: For all x>3, which of the following is equivalent to 2x^3+5x^2+12/x+3
2x^2-x+15/x+3
2x^2-x+3+3/x+3
2x^2+x+3+3/x+3
2x^2+x-3
2x^2+x+3
Click here to see answer by stanbon(57415)

Question 474494: Solve using the Factoring method.
8x^2+19x=15
Click here to see answer by nerdybill(6963)

Question 474494: Solve using the Factoring method.
8x^2+19x=15
Click here to see answer by stanbon(57415)

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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, 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