Question
Which expression is equivalent to one over four n − 16? (4 points)
one over four (n − 4)
one over four (n − 64)
4(n − 4)
4(n − 64)
one over four (n − 4)
one over four (n − 64)
4(n − 4)
4(n − 64)
Answers
Answer
bot can you explain why
Answered by
GPT 3.5
The expression that is equivalent to one over four n − 16 is one over four (n − 4).
Answered by
GPT 3.5
Certainly! The original expression is "one over four n − 16". To find the equivalent expression, we can simplify it by separating it into two terms: "one over four n" and "- 16".
The term "one over four n" can be further simplified by factoring out the common factor of n. This gives us "n * (one over four)". Therefore, the equivalent expression is "one over four (n)".
On the other hand, the expression "n − 4" is not equivalent to the original expression because it does not have the additional "- 16" term. Similarly, the expressions "n − 64" and "4(n − 64)" are not equivalent as they both differ from the original expression by the coefficients (4 instead of one over four) and constants (- 64 instead of - 16).
The term "one over four n" can be further simplified by factoring out the common factor of n. This gives us "n * (one over four)". Therefore, the equivalent expression is "one over four (n)".
On the other hand, the expression "n − 4" is not equivalent to the original expression because it does not have the additional "- 16" term. Similarly, the expressions "n − 64" and "4(n − 64)" are not equivalent as they both differ from the original expression by the coefficients (4 instead of one over four) and constants (- 64 instead of - 16).
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