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what is the value of $2^4 + \\frac{1}{4}|9x + 2|$ when $x = -2$? a) 20 …

Question

what is the value of $2^4 + \frac{1}{4}|9x + 2|$ when $x = -2$?
a) 20
b) 37
c) 21
d) 36

Explanation:

Step1: Calculate the exponential term

$2^4 = 16$

Step2: Substitute $x=-2$ into absolute value

$|9(-2) + 2| = |-18 + 2| = |-16| = 16$

Step3: Compute the fraction term

$\frac{1}{4} \times 16 = 4$

Step4: Sum the two results

$16 + 4 = 20$

Answer:

A) 20