1. 5/3
2. 21/16
3. 6/5
4. 1/12
5. 7/9
6. 25/9
7. 10/9
8. 25/24
9. 3/4
I put all of this in exact form.
Answer:
36x^2
Step-by-step explanation:
Let's first get rid of the 4 in the denominator by simplifying.
(4sqrt(9x^3))/(sqrt(4x))
Now square the top and bottom to get rid of square roots.
16(9x^3)/(4x)
Simplify again.
4(9x^2)
Combine
36x^2
Answer:
P (2 and then odd number) = 
Step-by-step explanation:
Probability refers to chances of occurrence of any event.
A number cube is rolled twice.
Possible outcomes are as follows:






Total number of outcomes = 36
Favorable outcomes include outcomes with 2 and then odd number.
So,
Favorable outcomes are 
Number of favorable outcomes = 3
Probability is equal to number of favorable outcomes divided by total number of outcomes.
Therefore,
P (2 and then odd number) = Number of favorable outcomes ÷ Total number of outcomes


Answer:
Please check the explanation.
Step-by-step explanation:
Given the function

at x₁ = a,

at x₂ = a+h,

Using the formula to determine the average rate of change
Average rate = [f(x₂) - f(x₁)] / [ x₂ - x₁]

as a+h-a = h, so

Thus, the everarge rate of chnage: 
We can further simplify such as:




Cancel the common factor h