Part a: explain why the x-coordinates of the points where the graphs of the equations y = 2^−x and y = 8^x+4 intersect are the solutions of the equation 2^−x = 8^x+4. (4 points)
part b: make tables to find the solution to 2^−x = 8^x+4. take the integer values of x between −3 and 3. (4 points)
part c: how can you solve the equation 2^−x = 8^x+4 graphically? (2 points)
(10 points)

You give a $4 tip for a meal that cost $22. approximately what percent of the bill was your tip?

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?

Select all the expressions that will include a remainder.