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:
7
Step-by-step explanation:
1. Lets Combine Like Terms. The only combineable terms are 8 and 8. So if we combine them they will equal 16. And we will have (2n+2)=16
2. Let's isolate the variable. We can do this by subtracting 2 from both sides. This will come out to 2n+14.
3. Let's further isolate the variable. We can do this by dividing both sides by two, which will finally come out to n=7
Answer:
0.75d
Step-by-step explanation:
<u>Step 1: Convert words into an expression</u>
At one particular store, the sale price, s, is always 75% of the display price, d
d is the display price
%75 they are always off
d*%75
d * 0.75
<em>0.75d</em>
<em />
Answer: 0.75d
