Answer:
7 stations
19 stations
199 stations
Step-by-step explanation:
We can model the stage number as
, and the number of modules as
. We can write this as a linear equation, where the initial number of modules is 1, and the number of modules increases by 2 every station. This is
, but since if you plug in 1 into the equation, you get 3, which is the station number for the next number, you have to edit that into x - 1:

Expanding, we have 2x - 2 + 1, which is 2x - 1:

Now, plugging 4 into the equation, we have 7.
Plugging 10 into the equation, we have 19.
Plugging 100 into the equation, we have 199.
F(x) = 3x² - 1
f(-2) = 3(-2)² - 1
f(-2) = 3(4) - 1
f(-2) = 12 - 1
f(-2) = 11
f(x) = x < 1
f(-2) = -2 < 1
f(x) = x + 2
f(-2) = -2 + 2
f(-2) = 0
f(x) = x > 1
f(-2) = -2 > 1
f(-2) = -2 < 1
Radius is half of the diameter so the radius of 4 is 2
Answer:
see below
Step-by-step explanation:
The first step is to combine like terms
4x -12 + 2x
6x -12
Then determine the number of terms
2 terms so it is a binomial