Suppose we want to choose 6 objects, without replacement, from 15 distinct objects. How many ways can this be done, if the order of the choices matters? How many ways can this be done, if the order of the choices does not matter?

For what value of x does 4x = (1/8) x + 5?

The first few steps in solving the quadratic equation 9x2 + 49x = 22 ? 5x by completing the square are shown. 9x2 + 49x = 22 ? 5x 9x2 + 54x = 22 9(x2 + 6x) = 22 which is the best step to do next to solve the equation by completing the square? 9(x2 + 6x + 3) = 25 9(x2 + 6x + 3) = 49 9(x2 + 6x + 9) = 31 9(x2 + 6x + 9) = 103

Which number line represents the solution set for the inequality - x 24?