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dybincka [34]
3 years ago
7

What is the value of the expression when n=3 6(n^2+2)/n 16 22 30 66

Mathematics
1 answer:
Kipish [7]3 years ago
4 0
The correct answer is:  [B]:  " 22 " . 
_________________________________________________________
Explanation:
_________________________________________________________
Given:
_________________________________________________________

\frac{6(n^2 + 2)}{3} ;

Solve when:  "n = 3" ; 

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

  →  \frac{6(3^2+2)}{3} ; 

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 " . 
_________________________________________________________
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