Solve the following equation for all values of x: 10x^2 - 5x = 0

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?

Which statement accurately describes how to perform a 90° clockwise rotation of point a (1,4) around the origin?

Sara made $253 for 11 hours of work. at the same rate how much would he make for 7 hours of work?