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:
Option (3)
Step-by-step explanation:
By applying cosine rule in the triangle ABC,
BC² = AC² + AB² - 2(AC)(AB)cosA
5² = 3² + 7²- 2(3)(7)cosA
25 = 9 + 49 - 42cos(A)
25 = 58 - 42cos(A)
cos(A) = 
A = 
A = 38.21°
A ≈ 38°
Option (3) will be the correct option.
Answer:
<em>If more than 134 articles are produced and sold, the firm will have positive profits and shoule start production</em>
Step-by-step explanation:
Cost, Revenue, and Profit Function
The cost function C(x) is given by

where x is the number of produced products.
The revenue function is

With both equations, we can know the profit function as



For the firm to have positive profits, it has to produce x articles with the condition

Or, equivalently

Solving for x

Thus

This means that if more than 134 articles are produced and sold, the firm will have positive profits and shoule start production
Answer:
4 44/49
Step-by-step explanation:
7 7/9 is 70/9
then u use 70/9 multiply by 7/4(I call it keep, change, flip method for division of fraction)
You keep the 1st fraction and because it is a mixed fraction, changing it to improper fraction is easier to solve it later on.
after that, you change the division sign to multiply sign(÷ to ×)
then you flip the 2nd fraction, which means 7/4 becomes 4/7
So overall it becomes 60/7 × 4/7 =240/49,4 44/49 as a mixed fraction.
Answer is 4 44/49