Answer:

Step-by-step explanation:
Given

--- scale factor
Required
Determine A'
This is calculated as:




The difference quotient of the expression will be 4.
<h3>How to find the quotient?</h3>
f(x) = 5 + 5x + 4x²
f(3) = 5 + 5(3) + 4(3)³
= 56
Now [f(x) - f(3)]/(x - 3) will be:
= (4x² + 5x + 5 - 56)/(x - 3)
= (4x² + 5x - 51)/(x - 3)
= (4x² + 17x - 12x - 5)/(x - 3)
= (4x + 17)(x - 3)/(x - 3)
= 4x + 17
The difference quotient will be:
g(x + h) = 4(x + h) + 17
= [g(x + h) - g(x)]/h
= (4x + 4h + 17 - 4x - 17)/h
= 4h/h
= 4
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Answer:

Step-by-step explanation:
The coordinates of A = (2,9)
The coordinates of B = (7,4)
Let M (x,y) be the mid point of A and B.

So, the coordinates of mid point of A and B is
.
Answer:
We conclude that the actual average cost per workbook is higher than $27.50.
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = $27.50
Sample mean,
= $28.90
Sample size, n = 44
Alpha, α = 0.05
Population standard deviation, σ = $5.00
First, we design the null and the alternate hypothesis
We use one-tailed z test to perform this hypothesis.
Formula:
Putting all the values, we have
Now,
Since,
We reject the null hypothesis and accept the alternate hypothesis.
Thus, we conclude that the actual average cost per workbook is higher than $27.50.
Answer:
34.
Step-by-step explanation:
8 *6 - (4 + 10)
= 48 - 14
= 34.