Select the correct answer.

What is the value of this expression when g = -3.5?
8 − |2g − 5|

A.
20
B.
10
C.
6
D.
-4

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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