SOLUTION: you have 96 feet of fencing to enclose a rectangular garden. The function A = 48x-x^2, where x= width,gives you the area in square feet. What width will give you the maximum a

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: you have 96 feet of fencing to enclose a rectangular garden. The function A = 48x-x^2, where x= width,gives you the area in square feet. What width will give you the maximum a      Log On


   



Question 324496: you have 96 feet of fencing to enclose a rectangular garden. The function
A = 48x-x^2, where x= width,gives you the area in square feet.
What width will give you the maximum area for your garden?
What is the maximum area?

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Complete the square to find the vertex and the maximum value.
A=-x%5E2%2B48x
A=-%28x%5E2-48x%29
A=-%28x%5E2-48x%2B576%29%2B576
A=-%28x-24%29%5E2%2B576
The maximum value of 576 occurs at x=24.
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graph%28300%2C300%2C-10%2C50%2C-40%2C600%2C48x-x%5E2%29