<span>First, we write an equation to represent that the fencing lengths add up to 568 feet. we call the side of the fence that has three segments of its length x and the side with only two segments y. We write 3x + 2y = 568. We also know that the area of the rectangle is equal to xy, so area = xy. We put y in terms of x using our first equation and find that y = (568 - 3x)/2. We plug this into our area equation and find that area = (568x - 3x^2)/2. To find the maximum we set the derivative equal to 0 and end up with 0 = 284 - 3x. We solve for x and get 94 and 2/3. We then put that into our first equation to find y = 142. So the dimensions that maximize the area are 94 2/3 x 142.</span>
The answer:
the main formula for finding the value of an ordered pair of the inverse of a function f(x) is as following:
if (x, f(x)) is an ordered pair, so the <span>ordered pair of the inverse of f(x) is (x', y') such that x'=f(x) and y'=x,
therefore, </span>If (9,33) is an ordered pair of the inverse of f(x), the <span>ordered pair of the function f(x) is (33, 9)</span>
It's going to be a positive slope line so I would say from left to right top left to bottom right. Good luck!
Answer:
x=11
Step-by-step explanation:
first you flip the X and the 10, then subtract the 10 on both sides and you should be left with x=11
(-1/4)x + 2 = 8
Multiply all terms by 4.
(-1)x + 8 = 32
Simplify.
-x + 8 = 32
Subtract 8 from both sides.
-x = 24
Multiply both sides by -1.
x = -24.
<h3>The value of x is equal to -24.</h3>
-1/4(-24) + 2 = 8