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anonymous
 one year ago
Please help :)
A farmer wishes to enclose a pasture that is bordered on one side by a river (so one of the four sides won't require fencing). She has decided to create a rectangular shape for the area, and will use barbed wire to create the enclosure. There are 600 feet of wire available for this project, and she will use all the wire. What is the maximum area that can be enclosed by the fence? (Hint: Use this information to create a quadratic function for the area enclosed by the fence, then find the maximum of the function.)
anonymous
 one year ago
Please help :) A farmer wishes to enclose a pasture that is bordered on one side by a river (so one of the four sides won't require fencing). She has decided to create a rectangular shape for the area, and will use barbed wire to create the enclosure. There are 600 feet of wire available for this project, and she will use all the wire. What is the maximum area that can be enclosed by the fence? (Hint: Use this information to create a quadratic function for the area enclosed by the fence, then find the maximum of the function.)

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0how would i solve for the maximum?

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.0The area function is an inverted parabola. Its maximum value occurs at the axis of symmetry.

Mertsj
 one year ago
Best ResponseYou've already chosen the best response.4Find the vertex of the parabola. The y coordinate of the vertex is the answer you want.

Mertsj
 one year ago
Best ResponseYou've already chosen the best response.4Put the equation into this form: A = ax^2 +bx

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so would it be a=2x^2+600x?

Mertsj
 one year ago
Best ResponseYou've already chosen the best response.4What is the value of "a"

Mertsj
 one year ago
Best ResponseYou've already chosen the best response.4What is the value of a? of b?

Mertsj
 one year ago
Best ResponseYou've already chosen the best response.4Now that is important because the x coordinate of the vertex is "the opposite of b" divided by 2a. Find the x coordinate of the vertex.

Mertsj
 one year ago
Best ResponseYou've already chosen the best response.4I posted that wrong. Try again.

Mertsj
 one year ago
Best ResponseYou've already chosen the best response.4Now go back to the equation A = 2x^2+600x and replace x with 150.

Mertsj
 one year ago
Best ResponseYou've already chosen the best response.4\[A=2(150)^2+600(150)\] \[A=2(22,500)+90,000\]

Mertsj
 one year ago
Best ResponseYou've already chosen the best response.4\[A=45,000+90,000=45,000\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0oh oops so is the maximum area 45000?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0okay thank you so much :)

Mertsj
 one year ago
Best ResponseYou've already chosen the best response.4And the dimensions are 150 by 300
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