Answer:
The correct expression is
![(n^(3))/(16)-2+8](https://img.qammunity.org/2020/formulas/mathematics/middle-school/i9xoae5opob7eshoax85ouubf8bfb965hu.png)
The value when
is
![10](https://img.qammunity.org/2020/formulas/mathematics/middle-school/ohhrik2xu4iejtj9yakix4wg9ve0oquu67.png)
Explanation:
Let
x------> a number
we know that
The algebraic expression of “two less than the quotient of a number cubed and sixteen, increased by eight” is equal to
![(n^(3))/(16)-2+8](https://img.qammunity.org/2020/formulas/mathematics/middle-school/i9xoae5opob7eshoax85ouubf8bfb965hu.png)
For
![n=4](https://img.qammunity.org/2020/formulas/mathematics/college/hlsoq6x9c191crhol11i3y2q6bz506tr6a.png)
Substitute the value of n in the expression
![(4^(3))/(16)-2+8](https://img.qammunity.org/2020/formulas/mathematics/middle-school/vfgzbjphq0ibigiaqln5bqfcg7pifiaqwx.png)
![4-2+8](https://img.qammunity.org/2020/formulas/mathematics/middle-school/tldp3bzop4ajtz8tvjrs7cy3ix8jttq0gw.png)
![10](https://img.qammunity.org/2020/formulas/mathematics/middle-school/ohhrik2xu4iejtj9yakix4wg9ve0oquu67.png)
so
The value when
is
![10](https://img.qammunity.org/2020/formulas/mathematics/middle-school/ohhrik2xu4iejtj9yakix4wg9ve0oquu67.png)