It is given that y varies inversely as x varies. if x = 8 and y = 6, what is the value of y when x = 4?

10 points !

answer:

the answer to your question is y = 12

step-by-step explanation:

data

x = 8       y = 6

x = 4       y = ?

they vary inversely

process

1.- use proportions to solve this problem

                              8   6

                                4   y

as they vary inversely, multiply 6 by 8 and the result divide it by 4

                              y = (6 x 8) / 4

simplification

                              y = 48 / 4

result

                              y = 12                                              

step-by-step explanation:

to determine whether a given function is even, we simply substitute x with -x in the expression. if the result after simplification is identical to the original equation, then the function is said to be even other wise odd.

f(-x) = (-x)^2 - (-x) + 8

      = x^2 + x +8

the resulting function is not identical to the original one;

f(-x) ≠ f(x)

therefore, f(x) is not an even function