A farmer has 1000 feet of fencing and wants to enclose a rectangular yard, and divide it into four pens as shown. a. Find a function A(x) modeling the total area as a function of x, Hint: write the amount of fencing needed
in terms of x and y and set that equal to 1000, then you can solve for y. This should allow you to write
down the area in terms of x alone. Your function should be a quadratic function.

9514 1404 393

  A(x) = -2/5x^2 +200x

Step-by-step explanation:

There are 5 lengths of fence that are y long, and 2 lengths of fence that are x long. So, the perimeter is ...

  5y +2x = 1000

Then the value of y is ...

  y = (1000 -2x)/5

The area is the product of x and y:

  A(x) = xy

  A(x) = x(1000 -2x)/5

  A(x) = (2/5)(x)(500-x) . . . a convenient form for finding the maximum area

In standard form, the equation is ...

  A(x) = -2/5x^2 +200x

dc=6 square root of 3 and ac is 12 square root 3

c and d

step-by-step explanation:

square root of 3/2 = 18/c

cross multiply to get 18*2=√3*c

36/√3 * √3/√3 = c

c= 36*√3/3

c=12√3

option 3 . (5x + 1) - (-10x + 6)

step-by-step explanation:

option 1 :

(4x + 3) + (-9x + 4)

or 4x+3 -9x + 4

or -5x + 7

option 2

(x - 2) - (6x - 9)

or x-2-6x + 9

or -5x + 7

option 3

(5x+ + 6)

or 5x + 1 + 10x -6

or 15x -5

option 4

-4x+2x+7-3x

-7x + 2x + 7

-5x + 7

hence only option 3 did   not satisfy the given simplify expression.