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

Answer:
The base of the ladder is 2.58 m.
Step-by-step explanation:
Given that,
The angle of elevation for a ladder from the ground is 75°.
The length of a ladder, H = 10 foot
We need to find the distance from the house should you place the base of the latter. Let the base of the ladder is b. Using trigonometry,

So, the base of the ladder is 2.58 m.
Answer: 
Step-by-step explanation:
The confidence interval for population mean is given by :-

, where
is the sample proportion, n is the sample size ,
is the critical z-value.
Given : Significance level : 
Sample size : n= 85
Critical value : 
Sample proportion: 
Now, the 99% confidence level will be :

Hence, the 99% confidence interval estimate of the true proportion of families who own at least one DVD player is 
Answer:
Rotations
Step-by-step explanation:
The orientation of the figure is how the whole shape appearance. You don't need to name vertice to determine the orientation of the figure. It will not change from translations and dilations, so these two are out of option.
The orientation of vertices, on the other hand, needs you to know the vertice name. It can be expressed as clockwise or counterclockwise. The orientation of vertice will be preserved for translations, rotations, and dilations so it should be one of them. Notice that translation and dilation already out of option so the answer will be rotations.
Answer:
Part A: B) 3
Part B: $40
4. -1
7. 5x + 6y
8. Part A: y = 20x
8. Part B: $300
9. e > 12000 pounds
Step-by-step explanation:
Part A: x = 5t + 5
20 = 5t +5
15 = 5t
t = 3
Part B: x = 5t + 5
x = 5(7) + 5
x = 35 +5
x = 40
4. 24 - 5^2
24 - (5*5)
24 - 25 = -1
7. 2x + 4y + 5 + 2y - 5 + 3x
2x + 3x = 5x
4y + 2y = 6y
5 + (-5) = 0
5x + 6y
8. Part A:
Total = y
Lawns = x
Amount = $20
so y = 20x
8. Part B:
y = 20x
y = 20(15)
y = 300
9. The elephant weighs more than 12000 pounds
Elephant = e
More than = >
Pounds = 12000
e > 12000 pounds