A rancher has 1600 feet of fencing to enclose a rectangular pig pen. However, one side of the pen lies along a river and requires no fencing. Express the area of the pen, A, as a function of x.

Step-by-step explanation:

Let the dimensions of the pen be x and y.

Area, A = xy

Let y be the side oppossite the river, therefore:

The perimeter of the pen = 2x+y

Since the rancher has 1600 feet of fencing to enclose the pen.

2x+y=1600

We make y the subject of the formula

y=2x-1600

Substitute y=2x-1600 into the area function

A = x(2x-1600)

The area of the pen as a function of x is therefore:

answer is d-29

step-by-step explanation:

since you didn't include the picture, i can give you the description so you know how to pick the correct answer. the third quartile of a data is always shown in a box plot. in the middle of your graph should be a box. the third quartile is the value that goes with the far right edge of the box.

answer: evaluate the objective function at each vertex to determine which - and -values, if any, maximize or minimize the function. example: find the minimum value and maximum value of the objective function f ( x , y ) = 4 x + 5 y , subject to the following constraints