Question

evaluate the expression

1. $4^2 + 3|4x - 9|$ when $x = -2$

Explanation:

Step1: Calculate \(4^2\)

\(4^2 = 16\)

Step2: Substitute \(x = -2\) into \(|4x - 9|\)

First, calculate \(4x - 9\) when \(x = -2\): \(4\times(-2)-9=-8 - 9=-17\)
Then, find the absolute value: \(| - 17|=17\)

Step3: Calculate \(3\times|4x - 9|\)

Substitute the absolute value result: \(3\times17 = 51\)

Step4: Add the results of Step1 and Step3

\(16+51 = 67\)

Answer:

67