Answer:
x = 500 yd
y = 250 yd
A(max) = 125000 yd²
Step-by-step explanation:
Let´s call x the side parallel to the stream ( only one side to be fenced )
y the other side of the rectangular area
Then the perimeter of the rectangle is p = 2*x + 2* y ( but only 1 x will be fenced)
p = x + 2*y
1000 = x + 2 * y ⇒ y = (1000 - x )/ 2
And A(r) = x * y
Are as fuction of x
A(x) = x * ( 1000 - x ) / 2
A(x) = 1000*x / 2 - x² / 2
A´(x) = 500 - 2*x/2
A´(x) = 0 500 - x = 0
x = 500 yd
To find out if this value will bring function A to a maximum value we get the second derivative
C´´(x) = -1 C´´(x) < 0 then efectevly we got a maximum at x = 500
The side y = ( 1000 - x ) / 2
y = 500/ 2
y = 250 yd
A(max) = 250 * 500
A(max) = 125000 yd²
There are 4 quarterly inches in 1 inch so 4 x7=28 + 3 quarter in 3/4 so 31 quarter inches in all.
A) $11.63
B) 7.5% tax on something that is $11.63 would be $.87225
C) total cost with sale and tax would be $12.50
Option D: Two irrational solutions
Explanation:
The equation is 
Subtracting 6x from both sides, we have,
Solving the equation using quadratic formula,
Simplifying the expression, we get,
Taking out the common terms and simplifying, we have,
Dividing by 3, we get,
Hence, the equation has two irrational solutions.
