Determine the value(s) for which the rational expression −12d−110d+5 is undefined. If there's more than one value, list them separated by a comma, e. g. d=2,3.

The rational expression is not written correctly, so i actually can not know the actual expression.

I will try to answer this in a general way, so you can try to apply it to the actual problem.

Now, suppose that our rational expression is:

The numerator is -12d, this part does not have any problem at any value of d, so we don't have any undefined value here.

The denominator is: -110d + 5

Now, a rational expression is undefined if the denominator is eqeual to zero (we can not divide by zero)

So an undefined value will be when:

-110d + 5 = 0

d = -5/110

This means that we can not have the value d = -5/110, because this makes the denominator equal to zero.

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.