Answer:
![f(x) = 2[\frac{3^x}{9}] + 2](https://tex.z-dn.net/?f=f%28x%29%20%3D%202%5B%5Cfrac%7B3%5Ex%7D%7B9%7D%5D%20%2B%202)

Step-by-step explanation:
Given


Required
Remove the h component
In a function, the h component is highlighted as:

So, we have:

Split the exponents using the following law of indices:



![f(x) = 2[\frac{3^x}{9}] + 2](https://tex.z-dn.net/?f=f%28x%29%20%3D%202%5B%5Cfrac%7B3%5Ex%7D%7B9%7D%5D%20%2B%202)
<em>The h component has been removed</em>

Split the exponent using the following law of indices

So, we have:

Express 4^2 as 16

Divide 16 by 2

Step-by-step explanation:
Let the 1st number be x
2nd number = x + 2
3rd number = x + 4
4th number = x + 6
5th number = x + 8
x + x + 2 + x + 4 + x + 6 + x + 8 = 20
5x + 20 = 20
5x = 20 - 20
5x = 0
x = 0 ÷ 5
x = 0
The 5 consecutive integers are
0, 2, 4, 6, 8
If you put the equation into graphing calculator online or manual, you can get the graph.
Answer:
x = 9.5
Step-by-step explanation:
We see that the entire length of DF is equal to 34. That means segment DE and segment EF must combine to equal 34:
3x - 6 + x + 2 = 34
4x - 6 + 2 = 34
4x - 4 = 34
4x = 38
x = 9.5
If Gail practises swimming for 1 and 1/4 hours a day, then in a week she'll do:
1 1/4 * 7 = 5/4 * 7 = 35/4 = 8 3/4 [hours]
In other words she'll practice 8 hours and 45 minutes a week (assuming that she's still practicing on weekends).