Answer:
Step-by-step explanation:
Let the other side of the rectangle be y. The perimeter of the rectangle is expressed as P = 2(x+y)
Given P = 30ft, on substituting P = 30 into the expression;
30 = 2(x+y)
x+y = 15
y = 15-x
Also since the area of the rectangle is xy;
A = xy
Substitute y = 15-x into the area;
A = x(15-x)
A = 15x-x²
The function that models its area A in terms of the length x of one of its sides is A = 15x-x²
The side of length x yields the greatest area when dA/dx = 0
dA/dx = 15-2x
15-2x = 0
-2x = -15
x = -15/-2
x = 7.5 ft
Hence the side length, x that yields the greatest area is 7.5ft.
Since y = 15-x
y = 15-7.5
y = 7.5
Area of the rectangle = 7.5*7.5
Area of the rectangle = 56.25ft²
Answer:
120÷5=24 / 24×4=96 / 96+24=120
Step-by-step explanation:
D.miles
Because the grocery store should be a few miles from your home.
Answer: Choice C
Closed filled in circle at -3; shading to the right.
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Explanation:
Follow the steps shown below to isolate x. Note that the inequality sign flips when we divide both sides by a negative number.
Here's another way to isolate x
The inequality sign flip happens much earlier when we go from the format of 
to 
(in step 3)
The graph of this will have a closed filled in circle at -3, then shading to the right to describe all values -3 or larger.
This is why we go for choice C.
