Question

Which is a correct statement about the description "Six less than the quotient of a number cubed and nine, increased by wewe

when n = 3? Check all that apply.
The correct expression is 5-
The correct expression is
D One of the steps to determining the value when n = 3 is 3-6+12.
One of the steps to determining the value when n= 3 is 6-3+12.
The value when n = 3 is 7.
The value when n = 3 is 9.
The value when n = 3 is 15.
The value when n = 3 is 17.
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Answer 1

( A ) The correct expression is 6 minus StartFraction n cubed Over 9

EndFraction + 12.

( D ) One of the steps to determining the value when n = 3 is 6 minus 3 + 12.

( F ) The value when n = 3 is 9.

Explanation:

Answer 2

The correct expression is:
`(n^3)/(9)-6+12`

One of the step to determining the value when
`n=3` is
`3-6+12`

The value when
`n=3` is
`9`.

Explanation:

Six less than the quotient of a number cubed and nine, increased by twelve.

Let the number be
`=n`

The mathematical expression of the statement can be written as:

`(n^3)/(9)-6+12`

Evaluating the expression when
`n=3`

`=(3^3)/(9)-6+12`

`=(27)/(9)-6+12`

`=3-6+12`

`=9`

∴ The value when
`n=3` is
`9`.