Formula for perimeter of a rectangle = 2(L + W)
let the number be x
width = 2x + 8
length = 3(2x + 8)
substitute respectively
96 = 2 (2x + 8 + 3(2x + 8)) open the bracket
96 = 2 ( 2x + 8 + 6x + 24) collect like terms
96 = 2 (8x + 32) open the bracket
96 = 16x + 64
collect like terms
96 - 64 = 16x
32 = 16x
divide both sides by 16
32/16 = 16x/16
2 = x
therefore, the width = 2x + 8 = 2(2) + 8 = 4 + 8 = 12.
and the length = 3(2x + 8) = 6x + 24 = 6(2) + 24 = 12 + 24 = 36.
Answer:
31 deaths per month
Step-by-step explanation:
12 months in a year
372 / 12 = 31
Answer:
Max exercises 13 hours a week, and Sasha 7.
Step-by-step explanation:
To find the number of hours each of them exercises during the week, we solve the system of equations.
In the second equation:

Replacing in the first equation:





So Sasha exercises 7 hours per week.
Max:



Max exercises 13 hours a week.
Answer:
1/5x+2
Step-by-step explanation:
<h3>
Answer: Choice D</h3>

Domain = [-3, infinity)
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Work Shown:

In step 2, we replaced every x with g(x)
In step 3, we plugged in g(x) = sqrt(x+3)
The domain of g(x) is [-3, infinity), so this is the domain of
as well since the composite function depends entirely on g(x). Put another way: the input of f(x) depends on the output of g(x), so that's why the domains match up.