PLEASE HELP
g(x) = (x + 3)(x + 2)(x − 3)
Now that the curve pieces are determined, use those pieces as sections of a complete coaster. using a drawing program, work to sketch a design of your coaster that includes the shape of the g(x) and f(x) functions. You do not have to include the coordinate plane. Arrange the functions in any order you choose, but make sure to label each section of the graph with the corresponding function for your instructor to view.

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?

Find the maximum value of p= 4x + 5y subject to the following constraints :

2. using calculations based on a perpetual inventory system, determine the inventory balance altira would report in its august 31, 2021, balance sheet and the cost of goods sold it would report in its august 2021 income statement using the average cost method. (round "average cost per unit" to 2 decimal places.)