The function H =f(t) gives the temperature, HF, of an object t minutes after it is taken out of the refrigerator and left to sit in a room. (a) Write a new function in terms of f (0) for the temperature if the object is taken out of the refrigerator 2 minutes later. Note that·H =" is already provided. Do not include this in your submitted response to this question. b) Write a new function in terms of f(0) for the temperature if both the refrigerator and the room are 15 F colder. Note that·H-e is already provided. Do not include this in your submitted response to this question.

1- is the product of two rational numbers irrational or rational? first, make a hypothesis by multiplying two rational numbers. then, use variables such as x=a/b and y=c/d and the closure property of integers to prove your hypothesis. 2- 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. 3- 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 part b?