A function

is periodic if there is some constant

such that

for all

in the domain of

. Then

is the "period" of

.
Example:
If

, then we have

, and so

is periodic with period

.
It gets a bit more complicated for a function like yours. We're looking for

such that

Expanding on the left, you have

and

It follows that the following must be satisfied:

The first two equations are satisfied whenever

, or more generally, when

and

(i.e. any multiple of 4).
The second two are satisfied whenever

, and more generally when

with

(any multiple of 10/7).
It then follows that all four equations will be satisfied whenever the two sets above intersect. This happens when

is any common multiple of 4 and 10/7. The least positive one would be 20, which means the period for your function is 20.
Let's verify:


More generally, it can be shown that

is periodic with period

.
Answer:
w= -52
Step-by-step explanation:
We simplify the equation to the form, which is simple to understand
15-w/4=28
Simplifying:
15-0.25w=28
We move all terms containing w to the left and all other terms to the right.
-0.25w=+28-15
We simplify left and right side of the equation.
-0.25w=+13
We divide both sides of the equation by -0.25 to get w.
w= -52
Hope it Helps :) !!
9/10 - 5/10
because the denominators are the same you keep it and just subtract the numerators
=4/10
This can be reduced to 2/5
Step-by-step explanation:
y = 23.28/6 x
y = 3.88 x
so, the constant of proportionality is 3.88
108.8 feet in total divided by 13.6 feet for each floor = 8 floors