Afarmer wants to build a fence along a river. he has 900 feet of fencing and wants to enclose a rectangular pen on three sides (with the river providing the fourth side). if x is the length of the side perpendicular to the river, determine the area a of the pen as a function of x.

The first thing we must do is define variables.

We have then:

x: the length of the side perpendicular to the river

y: the length of the side parallel to the river

The area of the rectangle is given by:

On the other hand, the perimeter of the rectangle is:

From here, we clear the value of y:

Then, rewriting the area we have:

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

check above link.

graphically?   well, you graph them both, the solutions is where they both intersect each other, since there are two solutions, meaning they will meet twice, or namely the linear will run into the quadratic curve twice, and where they meet, those x,y coordinates are the solutions to the system.

the terms of a geometric sequence can be found by beginning with the first term and multiplying by the common ratio repeatedly. a recursive formula for a geometric sequence with common ratio r is given by an=ran−1 a n = r a n − 1 for n≥2 n ≥ 2 .

step-by-step explanation: