Answer:
Dimensions :
x (the longer side, only one side with fence ) = 90 ft
y ( the shorter side two sides with fence ) = 45 ft
Total fence used 45 * 2 + 90 = 180 ft
A(max) =
Step-by-step explanation: If a farmer has 180 ft of fencing to encloses a rectangular area with fence in three sides and the river on one side, the farmer surely wants to have a maximum enclosed area.
Lets call "x" one the longer side ( only one of the longer side of the rectangle will have fence, the other will be along the river and won´t need fence. "y" will be the shorter side
Then we have:
P = perimeter = 180 = 2y + x ⇒ y = ( 180 - x ) / 2 (1)
And A (r) = x * y
A(x) = x * ( 180 - x ) /2 ⇒ A(x) = (180/2) *x - x² / 2
Taking derivatives on both sides of the equation :
A´(x) = 90 - x
Then if A´(x) = 0 ⇒ 90 - x = 0 ⇒ x = 90 ft
and from : y = ( 180 - x ) / 2 ⇒ y = 90/2
y = 45 ft
And
A(max) = 90 * 45 = 4050 ft²
Answer:
The inverse of the function is (3x+4)/2
Step-by-step explanation:
To find the inverse, exchange x and y and then solve for y
y = (2x-4) /3
Exchange x and y
x = (2y-4)/3
Solve for y
Multiply each side by 3
3x = (2y-4)/3 *3
3x =2y-4
Ad 4 to each side
3x+4 = 2y-4+4
(3x+4) =2y
Divide each side by 2
(3x+4)/2 =2y/2
(3x+4)/2 = y
The inverse of the function is (3x+4)/2
Answer:
the answer is 48, or the second choice B
Step-by-step explanation:
Answer:
Step-by-step explanation:
Put in the form of y = Ax + B
x + 2y = 10
2y = -x + 10
y = -½x + 5
has a slope of -½ and a y intercept of 5
-x + 4y = 8
4y = x + 8
y = ¼x + 2
has a slope of ¼ and a y intercept of 2
I'm sure this is the answer
D) an = 2 + 5n
ùwú~☆
