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:
All events are independent
Step-by-step explanation:
You are given the table
Two events A and B are independent when
a) A="Chocolate"
B="Adults"
A and B="Chocolate and Adults"
Since 
events are independent
b) A="Children"
B="Chocolate"
A and B="Children and Chocolate"
Since 
events are independent
c) A="Vanilla"
B="Children"
A and B="Vanilla and Children"
Since 
events are independent
Answer:
x = 3, x = 0
Step-by-step explanation:
To solve these factored equations, just divide each part by zero and solve.
2x(x-3) = 0 → (x-3) = 0, and 2x = 0.
(x-3) = 0 → x - 3 + 3 = 0 + 3 → <u>x = 3.</u>
2x = 0 → 2x/2 = 0/2 → <u>x = 0.</u>
Answer:
11
Step-by-step explanation:
