In order to find how many additional workers are needed to staff the extra crews you first need to calculate how many workers are on a crew. There are 12 workers at the company now and that's enough to staff 4 crews so there are \( \frac{12}{4} \) = 3 workers on a crew. 7 crews are needed for the busy season which, at 3 workers per crew, means that the roofing company will need 7 x 3 = 21 total workers to staff the crews during the busy season. The company already employs 12 workers so they need to add 21 - 12 = 9 new staff for the busy season.

First, solve for \( \left|y - 6\right| \):

\( \left|y - 6\right| \) + 8 = 8
\( \left|y - 6\right| \) = 8 - 8
\( \left|y - 6\right| \) = 0

The value inside the absolute value brackets can be either positive or negative so (y - 6) must equal + 0 or -0 for \( \left|y - 6\right| \) to equal 0:

So, y = 6 or y = 6.

If 64% of the town's 10,000 voters cast ballots the number of votes cast is:

(\( \frac{64}{100} \)) x 10,000 = \( \frac{640,000}{100} \) = 6,400

The mayor got 79% of the votes cast which is:

(\( \frac{79}{100} \)) x 6,400 = \( \frac{505,600}{100} \) = 5,056 votes.

The equation for this sequence is:

a_n = a_n-1 + 6

where n is the term's order in the sequence, a_n is the value of the term, and a_n-1 is the value of the term before a_n. This makes the next number:

a₆ = a₅ + 6
a₆ = 25 + 6
a₆ = 31

To add or subtract terms with exponents, both the base and the exponent must be the same. In this case they are so add the coefficients and retain the base and exponent:

-6a⁵ + 3a⁵
(-6 + 3)a⁵
-3a⁵