Answer:

Step-by-step explanation:
- If f(x) is in th form of f(x)=g(x)-h(x) then f'(x)=g'(x) - h'(x)
- When f(x)=z(g(x)) then f'(x)= z'(g(x))g'(x) (called as chain rule)
<u>using these information</u>:
g(x)=ln2x then g'(x)=
h(x)=In(3x - 1) then h'(x)=![\frac{(3x-1)'}{3x-1} =\frac{3}{3x-1}f'(x)=g'(x) - h'(x) =[tex]\frac{1}{x} - \frac{3}{3x-1} =\frac{-1}{3x^2-x}](https://tex.z-dn.net/?f=%5Cfrac%7B%283x-1%29%27%7D%7B3x-1%7D%20%3D%5Cfrac%7B3%7D%7B3x-1%7D%3C%2Fp%3E%3Cp%3Ef%27%28x%29%3Dg%27%28x%29%20-%20h%27%28x%29%20%3D%5Btex%5D%5Cfrac%7B1%7D%7Bx%7D%20-%20%5Cfrac%7B3%7D%7B3x-1%7D%20%3D%5Cfrac%7B-1%7D%7B3x%5E2-x%7D)
Answer:
30 are girls, and 20 are boys because every 3 out of five students are girls, and every 2 out of 5 students are boys.
To earn at least $3,200 in revenue, the ticket prices should be $10 or $40.
<h3>What is an
Equation</h3>
An equation is an expression that shows the relationship between two or more variables and numbers.
Revenue = number of tickets sold * price per ticket = (400 - 8p)p
Revenue = 400p - 8p²
For no revenue:
400p - 64p² = 0
p = $0 or p = $50
For revenue of atleast 3200:
400p - 8p² = 3200
p = $10 or p = $40
To earn at least $3,200 in revenue, the ticket prices should be $10 or $40.
Find out more on Equation at: brainly.com/question/1214333