He variable z is directly proportional to x, and inversely proportional to y. when x is 5 and y is 19, z has the value 2.8947368421053. what is the value of z when x = 12, and y = 24

Given Z is directly proportional to X and inversely proportional to Y.

This means that

Z=kX/Y where k is a yet-unknown constant.

We are also given that, when X=5, y=19, Z=2.8947368421053, this means

2.8947368421053=k(5/19)

or

k=2.8947368421053*19/5

=11.0000000000001

=>

Z=11.000000000000*X/Y

If X=12, Y=24, then

Z=11.000000000000*X/Y

=11.000000000000*12/24

=5.500000000000

see below

step-by-step explanation:

x+2> 6

subtract 2 from each side

x+2-2 > 6-2

x > 4

there is an open circle at 4 since is it is greater than and the line goes to the right