Question

select the correct answer.
what is the value of this expression when a = 7 and b = -4?
\\(\frac{|2a| - b}{3}\\)

a. -6

b. \\(-3\frac{1}{3}\\)

c. \\(3\frac{1}{3}\\)

d. 6

Explanation:

Step1: Substitute \(a = 7\) into \(|2a|\)

First, we calculate \(2a\) when \(a = 7\), so \(2a=2\times7 = 14\). Then, the absolute value of \(14\) is \(|14| = 14\).

Step2: Substitute \(b=-4\) into the numerator

The numerator of the fraction is \(|2a|-b\). We already know \(|2a| = 14\) and \(b=-4\), so substituting \(b\) gives \(14-(-4)\). Subtracting a negative is like adding the positive, so \(14 - (-4)=14 + 4=18\).

Step3: Divide the numerator by 3

Now we have the fraction \(\frac{18}{3}\), and \(\frac{18}{3}=6\).

Answer:

D. 6