There would be 14 female and 7 male, so the total number of students is 21.
Answer:
The inverse for log₂(x) + 2 is - log₂x + 2.
Step-by-step explanation:
Given that
f(x) = log₂(x) + 2
Now to find the inverse of any function we put we replace x by 1/x.
f(x) = log₂(x) + 2
f(1/x) =g(x)= log₂(1/x) + 2
As we know that
log₂(a/b) = log₂a - log₂b
g(x) = log₂1 - log₂x + 2
We know that log₂1 = 0
g(x) = 0 - log₂x + 2
g(x) = - log₂x + 2
So the inverse for log₂(x) + 2 is - log₂x + 2.
Answer:

Step-by-step explanation:
Subtract (6x-3y) from (9x+2y):

This can also be seen as:

Distribute the -1 to (6x-3y):

Simplify the parentheses:

Group like terms:

Combine:

This expression can't be further simplified. Therefore, 3x+5y is the answer.
:Done
Using it's concept, it is found that the average rate of change of the function during the interval from 0 to 2 seconds is given by:
B. -32 ft/s; the average change in altitude of the ball each second over that interval.
<h3>What is the average rate of change of a function?</h3>
The average rate of change of a function is given by the change in the output divided by the change in the input. Hence, over an interval [a,b], the rate is given as follows:

In this problem, the function is given by:
f(t) = -16t² + 100.
The outputs are given as follows:
- f(0) = -16(0)² + 100 = 100.
- f(0) = -16(2)² + 100 = 36.
Hence the average rate of change is given by:
r = (36 - 100)/(2 - 0) = -32 ft/s.
And the correct option is:
B. -32 ft/s; the average change in altitude of the ball each second over that interval.
More can be learned about the average rate of change of a function at brainly.com/question/24313700
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The correct answer for the exercise shown above is:
zero (0)
The explanation is shown below:
1. You have the following expression given in the problem above:
7/6a
2. By definition, <span>the nonpermissible replacement for a is the value that make the denominator equal to zero.
3. Keeping this on mind, you have:
7/6a=7/6(0)=7/0
Therefore, as you can see, the answer is: zero (a=0).
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