Tutors Answer Your Questions about Quadratic Equations (FREE)
Question 1118618: Linda maintains the garden at her home. In the summer she plans to build a walkways through the garden. The area of the walkway, A, in square metres is given by A=90x+3x^2 where x is the width of the walkway in metres. If the area of the walkway must be 3000m^2 determine the width, explain.
Thank you.
Click here to see answer by josgarithmetic(39617) |
Question 1118618: Linda maintains the garden at her home. In the summer she plans to build a walkways through the garden. The area of the walkway, A, in square metres is given by A=90x+3x^2 where x is the width of the walkway in metres. If the area of the walkway must be 3000m^2 determine the width, explain.
Thank you.
Click here to see answer by ikleyn(52778)  |
Question 1118664: Ana wants to build a wooden box with a square base and a height of 1 foot. Then she will paint the outer surface of the box. Ana has a small can of paint that will cover 30 square feet. The outer surface area of the box is given by the function f(x)=x^2+4x
A.What equation can you use to determine the dimensions of a box whose outer surface area is 12.square feet?
B.Find the length of the box by solving the equation you wrote in part a
C. Describe how you would solve the equation you wrote in part a using a graph
D. Suppose Ana wants to use all the paint she has what is the measure of the length of the base x of the largest box she can build
Click here to see answer by josgarithmetic(39617) |
Question 1118675: Suppose the annual cost per active-duty armed service member in a certain country increased from $80,000 in 1995 to $90,000 in 2000. In 1990, there were 2 million armed service personnel and this number decreased to 1.5 million in 2000. Use linear models for annual cost and personnel to estimate, to the nearest $10 million, the rate of change of total military personnel costs in 1998.
Click here to see answer by josgarithmetic(39617) |
Question 1118687: Jane can kick a soccer ball with a path modelled by h=-(x-19)^2+17, where h is the height of the soccer ball and x is the distance the soccer ball is kicked. Both distances are measured in metres. How far was the ball kicked?
Thank you
Click here to see answer by ikleyn(52778)  |
Question 1118705: A video tracking device recorded the height h, in metres, of a baseball after it was hit into the air. The data collected can be modelled by the quadratic relation h=-3(t-3)^2+18, where t is the time in seconds after the ball was hit.
a) What was the maximum height reached by the baseball?
b) When did the baseball reach its maximum height?
c) At what time(s) was the baseball at the height of 10m?
d) Approximately when did the baseball hit the ground?
Thank you
Click here to see answer by josgarithmetic(39617) |
Question 1118705: A video tracking device recorded the height h, in metres, of a baseball after it was hit into the air. The data collected can be modelled by the quadratic relation h=-3(t-3)^2+18, where t is the time in seconds after the ball was hit.
a) What was the maximum height reached by the baseball?
b) When did the baseball reach its maximum height?
c) At what time(s) was the baseball at the height of 10m?
d) Approximately when did the baseball hit the ground?
Thank you
Click here to see answer by MathTherapy(10551)  |
Question 1118705: A video tracking device recorded the height h, in metres, of a baseball after it was hit into the air. The data collected can be modelled by the quadratic relation h=-3(t-3)^2+18, where t is the time in seconds after the ball was hit.
a) What was the maximum height reached by the baseball?
b) When did the baseball reach its maximum height?
c) At what time(s) was the baseball at the height of 10m?
d) Approximately when did the baseball hit the ground?
Thank you
Click here to see answer by ikleyn(52778)  |
Question 1118742: The Royal Fruit Company produces two types of fruit drinks. The first type is 40%
pure fruit juice, and the second type is 100% pure fruit juice. The company is attempting to produce a fruit drink that contains 55% pure fruit juice. How many pints of each of the two existing types of drink must be used to make 18 pints of a mixture that is 55% pure fruit juice?
Click here to see answer by josgarithmetic(39617) |
Question 1118742: The Royal Fruit Company produces two types of fruit drinks. The first type is 40%
pure fruit juice, and the second type is 100% pure fruit juice. The company is attempting to produce a fruit drink that contains 55% pure fruit juice. How many pints of each of the two existing types of drink must be used to make 18 pints of a mixture that is 55% pure fruit juice?
Click here to see answer by ikleyn(52778)  |
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