Which of the following relations has a domain of {1, 4, 5}? choose all that apply.

a) {(1, 3), (4, 2), (5, 2), (4, 1)}

b) {(4, 1), (5, 4), (6, 4), (2, 5)}

c) {(0, 1), (3, 5), (5, 4)}

d) {(1, 2), (4, 3), (1, 5), (5, 6)}

Yao xin puts 3/10 liters of potting soil in each pot for planting flowers. she has 5 2\3 liters of potting soil. how many pots can yao xin fill?

Kapil needed to buy a long wooden beam. he went to two sawmills that each charge an initial fee plus an additional fee for each meter of wood. the following equation gives the price (in dollars) of a wooden beam from the first sawmill as a function of its length (in meters). p = 5+20xp=5+20x

1- what do you think the product of a nonzero rational number and an irrational number is? is it rational or irrational? make use of variables, the closure property of integers, and possibly a proof by contradiction to prove your hypothesis.2- why do we have to specify that the rational number must be nonzero when we determine what the product of a nonzero rational number and an irrational number is? if the rational number were 0, would it give us the same result we found in the first question?