Answer:
Step-by-step explanation:
h(x+1) = ( x + 1 - 2)²
= (x -1)²
Answer:
The smallest value of p+q is 11
It happens when p = 6 and q = 5.
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Explanation:
Let's factor 180 in such a way that exactly one factor is a perfect square.
I'll ignore the trivial factor of 1.
Here are the possible factorizations we could go with:
180 = 4*45
180 = 9*20
180 = 36*5
Those factorizations then lead to the following

Then we have
p+q = 2+45 = 47
p+q = 3+20 = 23
p+q = 6+5 = 11
The smallest value of p+q is 11 and it happens when p = 6 and q = 5.
Side note: p+q is smallest when we go with the largest perfect square factor.
2x16 is 32 so you would take square root of 16 out which is 4 and leave the 2 inside. So the answer is 4sqrt(2)
Total hours worked = 5 x 3 = 15 hours
Amount collected = 50 x 15 = $750
Amount paid to the paralegal = 30 x 15 = $450
Amount made by the firm = 750 - 450 = $300