Respuesta :

Option C: 6 is the value of [tex]b(-10)[/tex]

Explanation:

The given expression is [tex]b(x)=|x+4|[/tex]

We need to determine the value of [tex]b(-10)[/tex]

To find the value of [tex]b(-10)[/tex], let us substitute [tex]x=-10[/tex] in the given expression.

Thus, substituting [tex]x=-10[/tex] in the expression, we have,

[tex]b(-10)=|-10+4|[/tex]

Adding the terms, we get,

[tex]b(-10)=|-6|[/tex]

Since, we know the absolute rule that [tex]|-a|=a[/tex] and the simplified expression is of the form [tex]|-a|[/tex] , let us apply the absolute rule in the simplified expression.

Thus, we have,

[tex]b(-10)=6[/tex]

Thus, the value of [tex]b(-10)[/tex] is 6.

Hence, Option C is the correct answer.