Respuesta :

Answer:

k = 18

Step-by-step explanation:

Given

f(x) = [tex]\frac{2}{5}[/tex] x + k

f(- 15) = 12 , then

[tex]\frac{2}{5}[/tex] × - 15 + k = 12 , that is

- 6 + k = 12 ( add 6 to both sides )

k = 18