Step-by-step explanation:
k² + 5k + 13 = 0
Using the quadratic formula which is

From the question
a = 1 , b = 5 , c = 13
So we have

<u>Separate the solutions</u>

The equation has complex roots
<u>Separate the real and imaginary parts</u>
We have the final answer as

Hope this helps you
Answer: 
Step-by-step explanation:
1. You have the following information given in the problem above:
- y represents total earnings in dollars .
- x represents hours worked.
2. Keeping on mind that the expression must model the wages of someone who makes $11.50 in an hour, this amount of money per hour must multiply the hours worked, which is represented by x.
3. Therefore, you can write the following equation:

This is the answer not sure if you wanted it graph or not
|x + 2| + 16 = 1
<u> - 16 - 16</u>
|x + 2| = -15
x + 2 = -15 U x + 2 = 15
<u> - 2 - 2</u> <u> - 2 - 2</u>
x = -17 x = 13
|2x + 6| - 4 = 20
<u> + 4 + 4</u>
|2x + 6| = 24
2x + 6 = 24 U 2x + 6 = -24
<u> - 6 - 6</u> <u> - 6 - 6</u>
<u>2x</u> = <u>18</u> <u>2x</u> = <u>-30</u>
2 2 2 2
x = 9 x = -15