Answer:
A rectangle is defined by its length = L, and its width = W.
So the perimeter of the of the rectangle can be written as:
Perimeter = 2*L + 2*W.
In this case, we want to leave the perimeter fixed, so we have:
24ft = 2*L + 2*W.
Now, we do not have any other restrictions, so to know the different dimensions now we can write this as a function, by isolating one of the variables.
2*L = 24ft - 2*W
L = 12ft - W.
or:
L(W) = 12ft - W.
Such that:
W must be greater than zero (because we can not have negative or zero width).
And W must be smaller than 12ft (because in that case we would have zero or negative length)
Then the possible different dimensions are given by:
L(W) = 12ft - W
0ft < W < 12ft.
ANSWER

EXPLANATION
The given function is,

The parent function of this ceiling function is

When this function is shifted horizontally 3 units to the left, we obtain the transformed function,

The correct answer is option D.
See attachment.
Answer: $36.69
Step-by-step explanation:
Okay, so let's first write the equation:
2.59*10 + 3d = 135.97
Now, let's work on isolating d by first simplifying the equation:
25.9 + 3d = 135.97
25.9 + 3d - 25.9 = 135.97 - 25.9
3d = 110.07
3d/3 = 110.07/3
d = 36.69
Okay, now let's check:
2.59*10 + 3*36.69 = 135.97
25.9 + 110.07 = 135.97
135.97 = 135.97
Okay, so so it costs $36.69 per pair of shoe.