Part a: explain why the x-coordinates of the points where the graphs of the equations y = 4^–x and y = 2^x+3 intersect are the solutions of the equation 4^–x = 2^x+3. (4 points)
part b: make tables to find the solution to 4^–x = 2^x+3. take the integer values of x between −3 and 3. (4 points)
part c: how can you solve the equation 4^–x = 2^x+3 graphically? (2 points)

Part a: solve –mk – 120 > 95 for m. show your work. (4 points) part b: solve 2c – 9f = 45 for f. show your work. (6 points)

Which rational number could be graphed between -4 and -5

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?