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Which is a correct statement about the description "two less than the quotient of a number cubed and sixteen, increased by eight" when n = 4? The correct expression is StartFraction n cubed Over 16 EndFraction minus 2 8. The correct expression is 2 minus StartFraction n cubed Over 16 EndFraction 8. One of the steps to determining the value when n = 4 is 1 minus 2 8. One of the steps to determining the value when n = 4 is 2 minus 1 8. The value when n = 4 is 6. The value when n = 4 is 7. The value when n = 4 is 9. The value when n = 4 is 10.

Respuesta :

The correct statement for the given description is  [tex]\dfrac{n^3}{16}-2+8[/tex], while the value of the expression for x = 4 is 10.

What is a linear equation?

A linear equation is one in which the variable's maximum power is always 1. A one-degree equation is another name for it.

The description of the statement is:

  • "Two less than the quotient of a number cubed and sixteen, increased by eight"
  • and n = 4

Now, the given statements of the problem can be written as,

  1. "Two less than x" describes "x- 2"
  2. "Quotient of x and y" describes  
  3. "x increased by y" describes  

Further, by combining all three statements, [tex]\dfrac{n^3}{16}[/tex]  is the quotient and 2 is subtracted and 8 is increased which means 8 is added.

Thus, the resultant expression is  [tex]\dfrac{n^3}{16}-2+8[/tex].

Evaluating the obtained expression at n=4,

Replace n with 4 and evaluate the expression as follows.

[tex]\dfrac{n^3}{16}-2+8|_{n=4} = \dfrac{4^3}{16}-2+8 = 4+6 =10[/tex]

Learn more about Linear Equations:

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