Which of the following is a counterexample that proves the conditional statement false?
if a number is divisible by four, then it is divisible by eight.
a. 12
b. 16
c. 24
d. 48

12

Step-by-step explanation:

If a number is divisible by 4, it means that the result of the number when divided by 4 given a whole number be it even or odd. However, a number that is divisible by 4 can only be divisible by 8 if the result of the outcoe of the division of the number by 4 is even.

From the options given,

12/4 = 3

16/4 = 4

24 /4 = 6

48/4 = 12

Only 12 gives an odd number when divided by 4 hence it is not divisble by 8

g(x) = x² + 2

step-by-step explanation:

it is given that the graphs are the same shape.

the only difference is that the red graph is 2 units higher than the blue graph.

that is to say that the red graph is simply the blue graph that has been moved vertically by 2 units in the positive y direction.

hence

g(x) = f(x) + 2

or

g(x) = x² + 2

.there can be infinite values of m and n that can satisfy the above equation. for each value of m of m or n. there maybe infinite sets of solution for the above

step-by-step explanation: