Answer:

Step-by-step explanation:
Using the power of power rule (multiply the exponents)
×
× 

When exponents are multiplied, add the answers:
x ^ ( 4/9 + 2/9 )
x ^ ( 6/9 )
x ^ ( 2/3 )
Answer:
Step-by-step explanation:
Suppose the dimensions of the playground are x and y.
The total amount of the fence used is given and it is 780 ft. In terms of x and y this would be 3x+2y=780 (we add 3x because we want it to be cut in the middle). Therefore, y= 780/2-3/2x. Now, the total area (A )to be fenced is
A=x*y= x*(390-3/2x)=-3/2 x^2+390x
Calculating the derivative of A and setting it equals to 0 to find the maximum
A'= -3x+390=0
This yields x=130.
Therefore y=780/2-3/2*130=195
Thus, the maximum area is 130*195=25,350ft^2
Answer:
x> -7/3y -7
Step-by-step explanation: -7y-3x<21
Step 1: Add 7y to both sides.
−3x−7y+7y<21+7y
−3x<7y+21
Step 2: Divide both sides by -3.
-3x/-3 < 7y+21/-3
x>-7/3y -7
113.09 because you divide the 12 by two because the rule