In Exercises 4–6, evaluate each algebraic expression for the give...

Question

In Exercises 4–6, evaluate each algebraic expression for the given value or values of the variable.6+2(x-8)³, for x=11

Accepted Answer

Hello, today we're gonna be finding the value of the given expression when X is equal to 14. So what we are given is eight plus three times the quantity X minus 12 raised to the power of three. And we are told that X is equal to 14. So in order to find the value of this ex expression, we're going to substitute the value of 14 for X in the given expression doing this allows us to rewrite the expression as eight plus three times the quantity 14 minus 12 race to the power of three. Now 14 -12 is going to simplify to give us two. So we have eight times, three times two raised to the power of three and two. Race to the power of three is the same thing as two times itself, three times, which is going to give us the value of eight. So we can rewrite the expression further to give us eight plus three times eight and three times eight is going to give us 24. So we have eight plus 24 which is going to equal to and this is going to be the value of the expression when X is equal to 14. And with that being said, the answer to this problem is going to be B So I hope this video helps you in understanding how to approach this problem. And I'll go ahead and see you all in the next video.

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In Exercises 4–6, evaluate each algebraic expression for the given value or values of the variable.6+2(x-8)³, for x=11

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