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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.

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 a class=


Answer :

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:

[tex]\frac{n^3}{9}[/tex]

Two less than this quotient is:

[tex]\frac{n^3}{9}-2[/tex]

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

[tex]\frac{n^3}{9}-2+12=\frac{n^3}{9}+10[/tex]

Step 2

Solve when n =3

[tex]\begin{gathered} \frac{3^3}{9}+10=\frac{27}{9}+10 \\ =3+10=13 \end{gathered}[/tex]

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

Therefore, the answers will be;

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

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