Answer:
Please read the explanation:
The answer is 37.
Step-by-step explanation:
x + 5 = 42 Write out the equation.
x + 5 - 5 = 42 -5 Subtract 5 on both sides to isolate the variable, x
x = 37
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Let's assume the opposite is the case. So let's assume that a = b is true. If so, then f(a) and f(b) would be the same output. This is because we can replace 'b' with 'a', or vice versa. In other words, f(a) = f(b) would be true. But this contradicts the original inequality that f(b) < f(a)
So that is why 'a' cannot equal b. We don't know if a > b or if a < b (unless we are told if the function is strictly decreasing or increasing on the interval from x = a to x = b), so we just leave it as 
Answer:
The values are given below.
Step-by-step explanation:
Mrs. Jackson bakes cookies for her family and colleagues at work. The number of cookies she bakes on the x-th day of December is given by,
f(x) =
until 24-th of December.
So, we can construct the following table,
x f(x)
0 24
4 20
8 16
12 12
16 8
20 4
24 0
28 unknown
31` unknown
Answer:
The correct answer is 54 rails.
Step-by-step explanation:
Max builds rail fences. For one style of fence, each section uses 3 vertical fence posts and 6 horizontal rails.
For every style of fence Max uses 3 vertical fence posts and 6 horizontal rails.
For every style of fence Max uses vertical fence posts and horizontal rails in the ratio of 1 : 2.
Max uses 27 posts . Therefore he needs to use 27 × 2 = 54 rails.
Therefore Max needs 54 rails for a fence that has 27 posts.
Perimeter is how far around, so you are going to total the 2 lengths and 2 widths. A way to write that is P=2l+2w.
P = 2(5 5/8) + 2 (6 1/4)
2(5 5/8) = 10 10/8 or 11 2/8 or 11 1/4
2(6 1/4) = 12 1/2
P = 11 1/4 + 12 1/2
P = 23 3/4