Answer:
44
Step-by-step explanation:
Given:
Required:
Average range of change from 3 to 9
SOLUTION:
Step 1:
Find f(3) and f(9):
To find f(3), replace x with 3 in the given function
To find f(9), replace x with 9 in the given function
Average rate of change = 
Where,
Plug in the values into the formula for average rate of change.
Average rate of change = 44
The only way to have two numbers that are the same and add up to be 15
is if they're both 7.5 , but those don't multiply to be 36. So I guess there's
no answer that satisfies all the conditions of this question.
Down on the bottom, under the fraction line.
Answer:
20 mm^3
Step-by-step explanation:
Formula
V = 1/3 B * h
Givens
B = 15 mm^2
h = 4 mm
Solution
V = 1/3 * 15 * 4
V = 20 mm^3
Answer:
Step-by-step explanation:
To write the expression as a single logarithm, or condense it, use the properties of logarithms.
1) The power property of logarithms states that 
. In other words, the exponent within a logarithm can be brought out in front so it's multiplied by the logarithm. This means that the number in front of the logarithm can also be brought inside the logarithm as an exponent.
So, in this case, we can move the 3 and the 4 inside the logarithms as exponents. Apply this property as seen below:
2) The product property of logarithms states that 
. In other words, the logarithm of a product is equal to the sum of the logarithms of its factors. So, in this case, write the expression as a single logarithm by taking the log (keep the same base) of the product of 
and 
. Apply the property as seen below and find the final answer.
So, the answer is .
