First we will calculate the value of expression [tex] 5n+13 [/tex] when n= -5
[tex] 5n+13 [/tex]
= [tex] (5 \times -5)+13 [/tex]
= -25+13
= -12.
Now, we will calculate the value of each expression at n=-5
1. 2n+2
= [tex] 2 \times(-5)+2 [/tex]
= -10+2 = -8, which does not have the equivalent value of the given expression.
2. n+8
= -5+8
= 3,which does not have the equivalent value of the given expression.
3. 4n+8
= [tex] 4 \times (-5)+8 [/tex]
= -20+8
= -12 , it has the equivalent value of the given expression.
4. [tex] n^{2}+13 [/tex]
=[tex] (-5)^{2}+13 [/tex]
= 25+13
= 38,which does not have the equivalent value of the given expression.
Therefore, expression 3 has a value that is equivalent to 5n + 13 when n=−5.
