mechanicdude mechanicdude
  • 03-02-2017
  • Mathematics
contestada

Which expression is equivalent to 1/4 − 16?

A) 1/4(n − 64)
B) 4(n − 4)
C)4(n − 64)

Respuesta :

joshlarge4444 joshlarge4444
  • 03-02-2017
The answer is A.) 1/4(n-64) because if you distribute the 1/4 onto the parentheses it becomes n/4 - 16 which is equivalent to 1/4 - 16 if n were to equal 1.
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Apocrophon
Apocrophon Apocrophon
  • 03-02-2017
The answer is A.
What you can do is distribute the 1/4 or 4 into the parentheses and see if it is the expression you want:
[tex] \frac{1}{4}(n-64)\\ \frac{1}{4}n-(\frac{64}{4})\\\frac{1}{4}n-16\\\\4(n-4)\\4n-16\\\\4(n-64)\\4n-(4*64)\\4n-256[/tex]
Since only option A simplifies to [tex] \frac{1}{4}n-16 [/tex], A is your answer.
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