Question

Which is a correct statement about the description “two less than the quotient of a number cubed and nine, increased by twelve” when n = 3? Select the three correct answers..The correct expression is 6 minus StartFraction n cubed Over 9 EndFraction + 12.The correct expression is StartFraction n cubed Over 9 EndFraction minus 6 + 12.One of the steps to determining the value when n = 3 is 3 minus 6 + 12.One of the steps to determining the value when n = 3 is 6 minus 3 + 12.The value when n = 3 is 11.The value when n = 3 is 13.The value when n = 3 is 15.The value when n = 3 is 17.

Answer 1

B,C and F

Explanation:

Just took it on edge

Answer 2

Step 1

If the number is n, we will write the statement in equation form.

n=3

The quotient of the number cubed and nine is:

`(n^3)/(9)`

Two less than this quotient is:

`(n^3)/(9)-2`

The quotient of the number cubed and nine is Two less than this quotient and Increased by 12 is;

`(n^3)/(9)-2+12=(n^3)/(9)+10`

Step 2

Solve when n =3

`\begin{gathered} (3^3)/(9)+10=(27)/(9)+10 \\ =3+10=13 \end{gathered}`

when n=3, the expression has a value of 13

Therefore, the answers will be;

`1)\text{The correct expression is }(n^3)/(9)-2+12`
`2)One\text{ of the steps of }\det er\min ing\text{ the value of n when n=3 is 3-2+12}`
`3)\text{The value of n, when n=3 is 13}`