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:
1.5p + 3p + 2.5p
Step-by-step explanation:
This expression, 1.5p + 3p + 2.5p, will represent the amount of money received when p people buy one of each food item.
Since the price of each is the coefficient for p, this will represent how much money will be gained from each food item. All 3 terms will be added together to represent the total amount of money gained from selling all 3 items.
Answer:
It would be 8 years ago.
Step-by-step explanation:
-First, subtract $14.35 from $16.35, which gives you 2.
-Next, remember that $0.25 is a quarter, so how many quarters make $2?
-0.25x4 gives you a dollar, so 0.25x8 gives you 2 dollars.
Hope it helps!
Answer:
Area = Length × width
16 = (3x +2 ) × ( x)
16 = 3x² +2x
3x² +2x -16=0
( 3x+8 ) ( x -2 ) =0
3x +8=0 —> 3x = – 8 —> x = – 8/3 —> x = – 2.6
x-2=0 —> x = 2
I hope I helped you^_^
R=1 s=1 x=4 or you can basically double it and be like rs=2 x=8 i dont know your options or i could help better