For all integers a, b, and c, if a, b, and c are odd, then the equation ax2 C bx C c D 0 has no solution that is a rational number. Hint: Do not use the quadratic formula. Use a proof by contradiction and recall that any rational number can be written in the form p q , where p and q are integers, q > 0, and p and q have no common factor greater than 1

answer: two angles are called supplementary if they add up to 180°. example: the two angles (140° and 40°) are supplementary because they add up to 180°.

step-by-step explanation:

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.