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:
The constant of proportionality is 1/4.
Step-by-step explanation:
Answer:Is there a answer choice?
Step-by-step explanation:
Answer:
<h2>
-7.1z +7.81</h2>
Step by step explanation:

Multiply each term in paranthesis by -7.1

Multiply:

Hope this helps...
Good luck on your assignment..
Answer:
x = 7.5
Step-by-step explanation:
Given that BE is parallel to CD and intersects the 2 other sides, then it divides the 2 sides in proportion, that is
=
, substitute values
=
( cross- multiply )
8x = 60 ( divide both sides by 8 )
x = 7.5