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Answer:

If both expressions have the same value after substituting and simplifying for x = 6 and x = 10, then they are equivalent. Substitute 6 for each variable, x, in both expressions. Use the order of operations to simplify both expressions. The value of both expressions is 88. Now, substitute 10 for each variable, x, in both expressions. Use the order of operations to simplify both expressions. The value of both expressions is 120. Therefore, the expressions are equivalent.

Step-by-step explanation:

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The two expressions are equivalent.

Important information:

  • The given expressions are [tex]8x+40[/tex] and [tex]8(x+5)[/tex].
  • The given values are [tex]x=6[/tex] and [tex]x=10[/tex].

Equivalent Expressions:

The values of both expression for [tex]x=6[/tex] are:

[tex]8(6)+40=48+40[/tex]

[tex]8(6)+40=88[/tex]

And

[tex]8(6+5)=8(11)[/tex]

[tex]8(6+5)=88[/tex]

The values of both expression for [tex]x=10[/tex] are:

[tex]8(10)+40=80+40[/tex]

[tex]8(10)+40=120[/tex]

And

[tex]8(10+5)=8(15)[/tex]

[tex]8(10+5)=120[/tex]

Since the values of both expressions are equal for each of the values [tex]x=6[/tex] and [tex]x=10[/tex]. Therefore, the two expressions are equivalent.

Find out more about 'Equivalent Expressions' here:

https://brainly.com/question/10628562

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