Answer:
Option D: 
Step-by-step explanation:
GIven the following inequality statement:

Start by eliminating the fraction on the right-hand side.
Multiply both sides of the inequality statement by 2:
}](https://tex.z-dn.net/?f=%5Cdisplaystyle%5Cmathsf%7B2%287x%5C%3A%2B%5C%3A6%29%5C%3A%5Cgeq%20%5C%3A%5Cbigg%5B%5Cfrac%7B-x%7D%7B2%7D%5Cbigg%5D%282%29%7D)
2(7x + 6) ≥ -x
Next, distribute 2 into the terms inside the parenthesis:
14x + 12 ≥ -x
Subtract 12 from both sides:
14x + 12 - 12 ≥ -x - 12
14x ≥ -x - 12
Add x to both sides:
14x + x ≥ -x + x - 12
15x ≥ - 12
Divide both sides by 15 to isolate x:

or 
Therefore, the correct answer is <u>Option D</u>: 
Answer:
b
Step-by-step explanation:
Using the trigonometric identity
secx =
and cos60° = 
Given
sec [
] ← evaluate bracket
= sec60°
= 
= 
= 2 → b
The z-score is the number of standard deviations away from the mean. We first subtract the actual score from the mean, then divide the difference by the standard deviation. In this case, our actual score is 13, so we subtract from the mean of 16, then divide by the SD of 2
(13 - 16) / 2 = -1.5