I 4. Two rectangular corrals are to be made from 100 yds. of fencing. If a rancher wants the
total area to be maximized, what should the dimensions of the coral be?

16⅔ yds by 25 yds

Step-by-step explanation:

Let x be the length of 3 fence sections

Let y be the length of 2 fence sections

A = xy

3x + 2y = 100

y = 50 - 1.5x

A = x(50 - 1.5x) = 50x - 1.5x²

dA/dx = 50 - 3x

       0 = 50 - 3x

      3x = 50

        x = 50/3 = 16⅔ yds

        y = 50 - 1.5(16⅔) = 25 yds

it could be a ..idk tho

d, x=8

step-by-step explanation:

simplifying

4x + -5 = 2x + 11

reorder the terms:

-5 + 4x = 2x + 11

reorder the terms:

-5 + 4x = 11 + 2x

solving

-5 + 4x = 11 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-5 + 4x + -2x = 11 + 2x + -2x

combine like terms: 4x + -2x = 2x

-5 + 2x = 11 + 2x + -2x

combine like terms: 2x + -2x = 0

-5 + 2x = 11 + 0

-5 + 2x = 11

add '5' to each side of the equation.

-5 + 5 + 2x = 11 + 5

combine like terms: -5 + 5 = 0

0 + 2x = 11 + 5

2x = 11 + 5

combine like terms: 11 + 5 = 16

2x = 16

divide each side by '2'.