Using the condition given to build an inequality, it is found that the maximum number of junior high school student he can still recruit is of 17.
<h3>Inequality:</h3>
Considering s the number of senior students and j the number of junior students, and that he cannot recruit more than 50 people, the inequality that models the number of students he can still recruit is:

In this problem:
- Already recruited 28 senior high students, hence
.
- Already recruited 5 junior high students, want to recruit more, hence
.
Then:



The maximum number of junior high school student he can still recruit is of 17.
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The average rate of change of g over the interval [-2, 4] is 4
<h3>What is the
average rate of change of g over the interval [-2, 4]?</h3>
The equation of the function is given as:
g(x) = 4x + 7
Calculate the value of the functions
g(-2) and g(4)
So, we have:
g(-2) = 4 * -2 + 7 = -1
g(4) = 4 * 4 + 7 = 23
The average rate of change of g over the interval [-2, 4] is then calculated as:
Rate = g(4) - g(-2)/4 - 2
This gives
Rate = (23 + 1)/(4 + 2)
Evaluate
Rate = 4
Hence, the average rate of change of g over the interval [-2, 4] is 4
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Complete question
g(x) = 4x + 7
What is the average rate of change of g over the interval [-2, 4]?
Answer:
5
Step-by-step explanation:
7+(8-(1+9))
7+(8-10)
7+(-2)
7-2
5
The oblique asymptote is y = xThis is a slant asymptote
You can find this by performing polynomial long division. See the attached image for how to do the division. The quotient is the single "x" up at the very top. The remainder is -2 at the very bottom. The oblique asymptote is equal to the quotient.