On this 5 by 5 grid of points, what fraction of the larger square's area is inside the shaded square? Express you answer as a common fraction.

Which graph represents the solution of the inequality?

G(x) 16g(x) = 2 sin(2x - π) + 4. using complete sentences, explain how to find the minimum value for the function.

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?