Suppose j and k vary inversely, and k=3 when j=12. find k when j=18.
2
4
24
36

k = 2.

Step-by-step explanation:

j = c/k where c is a constant.

When k = 3,  j = 12 so

12 = c/3

c = 36.

So the relation is j = 36/k

When j = 18

18 = 36 / k

So 18k = 36

k = 2.

d

step-by-step explanation:

by observation, we can see that the the graph is simply the graph of y = |x| that has been shifted 4 units downwards and 3 units to the left.

we can recognize in choice d :

y = | x + 3 |   - 4 (rewriting in general form)

y = | x - (- 3) |   - 4

the "-4 " term means   that the graph has been shifted by 4 units in the negative y direction

the "-3 " term means   that the graph has been shifted by 3 units in the negative x direction

this matches our observation of the graph described above.