HOW TO GRAPH x + 2y ≥ -6

 The graph is attached (See explanation).

Step-by-step explanation:

The Slope-Intercept form of the equation of the line is:

Where "m" is the slope and "b" is the y-intercept.

Given inequality:

You need to solve for "y":

You can identify that the line is:

Which slope and y-intercept are:

To find the x-intercept, substitute into the equation and solve for "x":

Then, you know that the line passes through the points (0,-3) and (-6,0), so you can graph it.

The symbol indicates that the line is solid and you must shade the region above the line.

So, you get the graph attached.

a.) list the factors of 40.

1/2/4/5/8/10/20/40

b.) list the factors of 40 that represent the number of cans that could be on each shelf.

5

c.) how many different arrangements of cans are possible?

just one because if you put more on one shelf you will go way over 40 and the cabinet will probably break.

d.) what are the possible arrangements of the cans?

put 5 cans on each self to reach 40 cans in total.

e.) which arrangement uses all the shelves?

5 because you can put 5 cans on each shelf, and since there are 8 shelfs you are equally going to get 40 cans.