Tutors Answer Your Questions about Quadratic Equations (FREE)
Question 1153056: The profits of Mr. Unlucky’s company can be represented by the equation p(x)=-3x^2+18x-4 where p(x) is the amount of profit in hundreds of thousands of dollars and x is the number of years of operation. He realizes his company is on the downturn and wishes to sell before he ends up in debt.
a. When will Mr. Unlucky’s business show the maximum profit? ___ years
b. What is the maximum profit? ____ hundreds of thousands
c. During what time period will Mr. Unlucky expect his business’ profits to be on the downturn? After ___ years
Click here to see answer by MathLover1(20849)   |
Question 1153135: Tickets to a school dance cost $4 and the projected attendance is 300 people. For every $1 increase in the ticket price, the dance committee projects that attendance will decrease by 5 attendees. Determine the dance committee’s greatest possible revenue. What ticket price will produce the
greatest revenue?
Click here to see answer by ikleyn(52750)  |
Question 1153135: Tickets to a school dance cost $4 and the projected attendance is 300 people. For every $1 increase in the ticket price, the dance committee projects that attendance will decrease by 5 attendees. Determine the dance committee’s greatest possible revenue. What ticket price will produce the
greatest revenue?
Click here to see answer by josmiceli(19441)  |
Question 1153135: Tickets to a school dance cost $4 and the projected attendance is 300 people. For every $1 increase in the ticket price, the dance committee projects that attendance will decrease by 5 attendees. Determine the dance committee’s greatest possible revenue. What ticket price will produce the
greatest revenue?
Click here to see answer by ankor@dixie-net.com(22740)  |
Question 1153254: The area of the right triangle shown is 24 square feet.
Which equations can be used to find the lengths of the legs of the triangle? Select two options.
Group of answer choices
LaTeX: x^2+2x-48=0 x 2 + 2 x − 48 = 0
LaTeX: x\left(x+2\right)=24 x ( x + 2 ) = 24
LaTeX: x^2+2x-24=0 x 2 + 2 x − 24 = 0
LaTeX: 0.5\left(x\right)\left(x+2\right)=24
Click here to see answer by josgarithmetic(39613) |
Question 1153254: The area of the right triangle shown is 24 square feet.
Which equations can be used to find the lengths of the legs of the triangle? Select two options.
Group of answer choices
LaTeX: x^2+2x-48=0 x 2 + 2 x − 48 = 0
LaTeX: x\left(x+2\right)=24 x ( x + 2 ) = 24
LaTeX: x^2+2x-24=0 x 2 + 2 x − 24 = 0
LaTeX: 0.5\left(x\right)\left(x+2\right)=24
Click here to see answer by ikleyn(52750) |
Question 1153501: hi
i started a table but could not see a stock price of 30 or 31? can you please help
Abercrombie and Fitch stock had a price given as P = 0.2t2 − 5.6t + 50.2, where t is the time in months from 1999 to 2001. (t = 1 is January 1999). Use MS-Excel to find the two months in which the price of the stock was $31 or $30.
thanks
joseph.amira@gmail.com
Click here to see answer by greenestamps(13195)  |
Question 1153501: hi
i started a table but could not see a stock price of 30 or 31? can you please help
Abercrombie and Fitch stock had a price given as P = 0.2t2 − 5.6t + 50.2, where t is the time in months from 1999 to 2001. (t = 1 is January 1999). Use MS-Excel to find the two months in which the price of the stock was $31 or $30.
thanks
joseph.amira@gmail.com
Click here to see answer by MathLover1(20849) |
Question 1153500: Postcard stamps cost 33¢ and letter stamps cost 46¢. You have 50 stamps worth $25.70.
Write a system of equations that could be used to determine the number of each type of stamp. Define variables, and then write one equation to express the total number of stamps and one equation to express the total value. Be sure to use the same units.
Click here to see answer by josgarithmetic(39613) |
Question 1153502: there are a few parts to this question and i am not sure where to start. any help is greatly appreciated
The cost function for a certain company is C (Q) = 60Q + 300 and the revenue is given by R = 100Q − 0.5Q2. Recall that profit is Revenue R(Q) minus cost C(Q)è R(Q) - C(Q).
Set up a quadratic equation and
Solve the quadratic equation to find the breakeven output (Q).
What does the second breakeven point indicate?
Is that the output level that maximizes profit for the company?
If not, at what output level (Q) will the company’s profit be a maximum?
Use MS-Excel to find two values of Q (production level) that will create a profit of $300
Click here to see answer by ikleyn(52750) |
Question 1153660: 1) A paper plane is thrown from a window 20 feet from the ground. The formula h(t)=-4x^(2)+24x+20 gives the planes height over time. Rewrite the equation in an equivalent form that would reveal the maximum.
2) Jeff has five less than twice the number of clients that Kenan has. The product of the number of clients they have is 322. Write and equation to represent this situation where c represents the number of clients Kenan has.
3) The equation, y = -2(x-20)^(2)+800 represents the area of a concrete patio, y, as a result of its length, x. What length would yield the maximum area?
Click here to see answer by ikleyn(52750) |
Question 1153710: originally a rectangle was three times as long as it was wide. when 2 cm were subtracted from the length and 5 cm were added to the width, the resulting rectangle had an are of 90cm^2. what the dimensions of the new rectangle
Click here to see answer by ikleyn(52750) |
Question 1153754: I need help on how to find the equation in quadratic word problems and my teacher doesn't teach very well. I am okay with most of the ways on how to use the quadratic formula and get standard form but I don't get how you find an equation using the information given in the word problem. I have tried asking for help and looking online but I still don't get it.
Question examples:
1) A rectangular piece of tin 40cm by 30cm is to be made into an open box with a base of 900cm^2 by cutting equal squares from the four corners and then bending up the sides. FInd the length of the side of the square cut from each corner.
2) Pete drove from Buffalo to Boston, a distance of 4000km. On the return trip, the speed was increased by 300km/h. If the total trip (There and back) took 13hours, what was the speed from montreal to San Fransico.
Click here to see answer by ikleyn(52750) |
Question 1153798: Hi,
Can I get help with this question
This polynomial is factorable, so you should be able to find the roots without using the complete the square method.
However we're going to walk through the process of completing the square as practice for those polynomials where you cannot use the factoring method
Solve the equation for x
x^(2)+6x-27=0
Step 1: Separate term fro the variables
Step 2: Complete the square
Step 3: Factor the complete square
Step 4: Use the Square Root Property
Step 5: Finish solving
Thank you.
Margaret
Click here to see answer by Alan3354(69443)  |
Question 1153798: Hi,
Can I get help with this question
This polynomial is factorable, so you should be able to find the roots without using the complete the square method.
However we're going to walk through the process of completing the square as practice for those polynomials where you cannot use the factoring method
Solve the equation for x
x^(2)+6x-27=0
Step 1: Separate term fro the variables
Step 2: Complete the square
Step 3: Factor the complete square
Step 4: Use the Square Root Property
Step 5: Finish solving
Thank you.
Margaret
Click here to see answer by ikleyn(52750) |
Question 1153798: Hi,
Can I get help with this question
This polynomial is factorable, so you should be able to find the roots without using the complete the square method.
However we're going to walk through the process of completing the square as practice for those polynomials where you cannot use the factoring method
Solve the equation for x
x^(2)+6x-27=0
Step 1: Separate term fro the variables
Step 2: Complete the square
Step 3: Factor the complete square
Step 4: Use the Square Root Property
Step 5: Finish solving
Thank you.
Margaret
Click here to see answer by MathLover1(20849) |
Question 1154160: An 150-unit apartment complex currently collects $90,000 per month in rent. Rent on each apartment is $600. The new management company wants to increase revenues to $113,400. But for each $25 increase, two tenants will move out. How many rent increases will be needed to produce revenue of $113,400?
Click here to see answer by ikleyn(52750) |
Question 1154160: An 150-unit apartment complex currently collects $90,000 per month in rent. Rent on each apartment is $600. The new management company wants to increase revenues to $113,400. But for each $25 increase, two tenants will move out. How many rent increases will be needed to produce revenue of $113,400?
Click here to see answer by josmiceli(19441) |
Question 1154244: Three varieties of coffee long dash Coffee A, Coffee B, and Coffee C long dash are combined and roasted, yielding a 51-lb batch of coffee beans. Twice as many pounds of Coffee C, which retails for $10.39 per lb, are needed as Coffee A, which sells for $14.99 per lb. Coffee B retails for $13.99 per lb. How many pounds of each coffee should be used in a blend that sells for $12.61 per lb?
Should be used
nothing lb. of Coffee A,
nothing lb. of Coffee B and
nothing lb. of Coffee C.
Click here to see answer by josgarithmetic(39613) |
Question 1154243: The table lists a readings for three years.
(a) If the quadratic relationship between the carbon dioxide concentration C and the year t is expressed as Upper C equals at squared plus bt plus c, where t equals 0 corresponds to 1962, use a system of linear equations to determine the constants a, b, and c, and give the equation.
(b) Predict the year when the amount of carbon dioxide in the atmosphere will double from its 1962 level.
Year
1962
1992
2022
CO2
318
341
371
Click here to see answer by josgarithmetic(39613) |
Question 1154243: The table lists a readings for three years.
(a) If the quadratic relationship between the carbon dioxide concentration C and the year t is expressed as Upper C equals at squared plus bt plus c, where t equals 0 corresponds to 1962, use a system of linear equations to determine the constants a, b, and c, and give the equation.
(b) Predict the year when the amount of carbon dioxide in the atmosphere will double from its 1962 level.
Year
1962
1992
2022
CO2
318
341
371
Click here to see answer by MathLover1(20849) |
Question 1154243: The table lists a readings for three years.
(a) If the quadratic relationship between the carbon dioxide concentration C and the year t is expressed as Upper C equals at squared plus bt plus c, where t equals 0 corresponds to 1962, use a system of linear equations to determine the constants a, b, and c, and give the equation.
(b) Predict the year when the amount of carbon dioxide in the atmosphere will double from its 1962 level.
Year
1962
1992
2022
CO2
318
341
371
Click here to see answer by MathTherapy(10549)  |
Question 1154247: Show work please
10. Work backwards to write a quadratic equation that will have solutions of x = 3 and x = -7.
11. Work backwards to write a quadratic equation that will have solutions of x = 12 and x = 2.
12. Work backwards to write a quadratic equation that will have solutions of x = -1/2 and x = 4. (Your equation must only have integer coefficients, meaning no fractions or decimals.)
13. Write a quadratic equation that will have a solution of only x = 0. Note: this means there will be a double solution of x = 0.
14. Write a quadratic equation that cannot be factored.
15. The product of two consecutive positive integers is 72. Find the integers.
16. The product of two consecutive negative integers is 10506. Write a quadratic equation that you could solve to find the integers.
17. Write a quadratic equation to find two consecutive odd natural numbers whose product is 63. Then find the numbers.
18. A tennis ball is launched straight upward with an initial velocity of 24.5 m/s from the edge of a cliff that is 117.6 meters above the ground. Which quadratic equation could be used to correctly determine when the ball will hit the ground:
4.9t2 + 24.5t + 117.6 = 0
-4.9t2 - 24.5t + 117.6 = 0
-4.9t2 + 24.5t - 117.6 = 0
4.9t2 + 24.5t - 117.6 = 0
-4.9t2 + 24.5t + 117.6 = 0
19. Solve the equation you chose in question 18 to determine when the ball will hit the ground. (HINT: If you don't get one of the answers listed for this question, then maybe you chose the wrong equation in #18. Use this opportunity to double check your work!)
t = 8 seconds
t = 4 seconds
t = 3 seconds
t = -3 seconds
The ball will never reach the ground.
20. Using the same equation, determine when the ball is at a height of 49 meters.
Click here to see answer by josgarithmetic(39613) |
Question 1154367: Suppose that the coefficient of the quadratic term and the coefficient of the linear term are equal. If the quadratic has a double root , what is the ratio of the coefficient the quadratic term to the constant term
Click here to see answer by ikleyn(52750) |
Question 1154370: Two airplanes left the airport at the same time. One was flying to the West, the other one to the South. After 2 hours the distance between them was 2000 miles. Find the speeds of the airplanes. The speed of the first plane is 75% of the speed of the second one. Write the equation. Solve, using Quadratic Formula.
Notations: x speed of the second airplane in mph
0.75x speed of the first plane in mph
Hint: Use Pythagoras theorem to find the distance between the airplanes
Click here to see answer by josgarithmetic(39613) |
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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, 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