MATH SOLVE

4 months ago

Q:
# What is the value of the expression when n=3 6(n^2+2)/n16223066

Accepted Solution

A:

The correct answer is: [B]: " 22 " .

_________________________________________________________

Explanation:

_________________________________________________________

Given:

_________________________________________________________

[tex] \frac{6(n^2 + 2)}{3} [/tex] ;

Solve when: "n = 3" ;

Rewrite the expression; substituting "3" for all values of "n" ; as follows:

→ [tex]\frac{6(3^2+2)}{3} [/tex] ;

The "6" cancels out to "2" ; & the "3" cancels out to "1" ;

→ {since: " {6 ÷ 3 = 2}" ; and since: " {2 ÷ 2 = 1}" .

_________________________________________________________

→ Since the "denominator" is "1" ; and any value, divided by "1"; results in that original value; we can eliminate the denominator.

→ Now, we can rewrite the expression as:

_________________________________________________________

→ " 2(3² + 2)" ;

= 2(9 + 2) ;

= 2(11) ;

= " 22 " .

_________________________________________________________

→ The answer is: " 22 " ; which is: Answer choice: [B]: " 22 " .

_________________________________________________________

_________________________________________________________

Explanation:

_________________________________________________________

Given:

_________________________________________________________

[tex] \frac{6(n^2 + 2)}{3} [/tex] ;

Solve when: "n = 3" ;

Rewrite the expression; substituting "3" for all values of "n" ; as follows:

→ [tex]\frac{6(3^2+2)}{3} [/tex] ;

The "6" cancels out to "2" ; & the "3" cancels out to "1" ;

→ {since: " {6 ÷ 3 = 2}" ; and since: " {2 ÷ 2 = 1}" .

_________________________________________________________

→ Since the "denominator" is "1" ; and any value, divided by "1"; results in that original value; we can eliminate the denominator.

→ Now, we can rewrite the expression as:

_________________________________________________________

→ " 2(3² + 2)" ;

= 2(9 + 2) ;

= 2(11) ;

= " 22 " .

_________________________________________________________

→ The answer is: " 22 " ; which is: Answer choice: [B]: " 22 " .

_________________________________________________________