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current learning objective: understanding absolute value
question 17
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if (w(x)=|5 - 3x|+2), then (w(5)=) enter your answer
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Explanation:

Step1: Substitute x = 5 into the function

Substitute \(x = 5\) into \(W(x)=|5 - 3x|+2\), we get \(W(5)=|5-3\times5| + 2\).

Step2: Calculate the value inside the absolute - value

First, calculate \(5-3\times5=5 - 15=-10\). So \(W(5)=|-10|+2\).

Step3: Evaluate the absolute - value

Since \(|-10| = 10\), then \(W(5)=10 + 2\).

Step4: Calculate the final result

\(10+2=12\).

Answer:

12