A fair die is a cube with number 1 through 6 on the sides, represented as painted spots. If a fair die is rolled, what is the probability of number 6 landing face up?

How many ordered pairs of positive integers satisfy xy=32?

Graph the system of inequalities presented here on your own paper, then use your graph to answer the following questions: y > 2x + 3y is less than negative 3 over 2 times x minus 4part a: describe the graph of the system, including shading and the types of lines graphed. provide a description of the solution area. (6 points)part b: is the point (â’4, 6) included in the solution area for the system? justify your answer mathematically. (4 points)

Find the root(s) of f (x) = (x- 6)2(x + 2)2.