Respuesta :
Answer:
D
Step-by-step explanation:
The absolute value function always returns a positive value, that is
| - a | = | a | = a
Given
8 - | 2g - 5 | ← substitute g = - 3.5 into the expression
= 8 - | - 7 - 5 |
= 8 - | - 12 |
= 8 - 12
= - 4 → D
The value of the expression 8 − |2g − 5| when g =-3.5 is -4.
What is absolute value?
The absolute value of a number is the positive value of that number. For example, the absolute value of a -8 is 8 and the absolute value of 8 is also 8.
|-8| = 8 = |8|
The value of the expression can be found as follows:
The expression is given as 8 − |2g − 5|.
The value of g = -3.5
Let us substitute the value of g in the expression:
8 − |2g − 5| = 8 - |(2*-3.5) - 5|
= 8 - |-7-5|
= 8 - |-12|
= 8 - 12
= -4
Now, let's match this with the given options.
Option A: 20 is not equal to -4.
Option B: 10 is not equal to -4.
Option C: 6 is not equal to -4.
Option D: -4 is equal to -4.
Therefore, we have found the value of the expression 8 − |2g − 5| when g =-3.5 is -4. The correct answer is option D.
Learn more about absolute value here: https://brainly.com/question/729268
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