I’m not sure, I would try to help but I seem to have lost my notes.
Answer:
x = - 5, x = - 1
Step-by-step explanation:
Given
- 3 | 2x + 6 | = - 12 ( divide both sides by - 3 )
| 2x + 6 | = 4
The absolute value always returns a positive value, but the expression inside can be positive or negative, that is
2x + 6 = 4 ( subtract 6 from both sides )
2x = - 2 ( divide both sides by 2 )
x = - 1
OR
- (2x + 6) = 4 ← distribute left side
- 2x - 6 = 4 ( add 6 to both sides )
- 2x = 10 ( divide both sides by - 2 )
x = - 5
As a check
Substitute these values into the left side of the equation and if equal to the right side then they are the solutions.
x = - 1 → - 3| - 2 + 6 | = - 3 | 4 | = - 3 × 4 = - 12 ← True
x = - 5 → - 3 | - 10 + 6 | = - 3 | - 4 | = - 3 × 4 = - 12 ← True
Thus x = - 5 and x = - 1 are the solutions
Answer:
$40,899.43
Step-by-step explanation:
Assume an acceptable mortgage repayment plan of 27% of pretax monthly income.
Annual realized Income is given by the product of the monthly mortgage payment by 12 months divided by the acceptable rate.

*Note that acceptable rate/proportion is relative and depends on the individual.
Tan(73) = tan(90 - 17) = cot(17) = 3.2709. Hope this helps you.