Question
Select the correct answer. What is the value of this expression when \( g=-3.5 \) ? \( 8-|2 g-5| \) A. 20 B. 10 C. 6 D. \( \quad-4 \)
Ask by Young Reese. in the United States
Mar 09,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
When \( g = -3.5 \), the expression \( 8 - |2g - 5| \) equals -4.
Solution
1. Substitute \( g=-3.5 \) into the expression:
\[
8 - |2g - 5| = 8 - |2(-3.5) - 5|
\]
2. Simplify inside the absolute value:
\[
2(-3.5) - 5 = -7 - 5 = -12
\]
3. Evaluate the absolute value:
\[
|-12| = 12
\]
4. Substitute back into the expression:
\[
8 - 12 = -4
\]
The correct answer is \( \boxed{-4} \), which corresponds to option D.
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Simplify this solution Beyond the Answer
Let's break down the expression step by step. Substitute \( g = -3.5 \) into the expression \( 8 - |2g - 5| \). First, calculate \( 2g - 5 \): \[ 2(-3.5) - 5 = -7 - 5 = -12 \] Now, take the absolute value: \[ | -12 | = 12 \] Finally, substitute back into the expression: \[ 8 - 12 = -4 \] So the value of the expression when \( g = -3.5 \) is \( \quad -4 \). The correct answer is D.
