Which of the following parabolas opens up? a. directrix: y = 2; focus: (−3, −5) b. directrix: y = 2; focus: (3, 5) c. directrix: y = −2; focus: (3, −5) d. directrix: y = −2; focus: (−3, −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 is the solution to the inequality? 2 3/52 1/15 b< 3 2/15 b> 3 2/15

Explain how you divide powers with like bases.discuss why the bases have to be the same.how are these rules similar to the rules for multiplying powers with like bases.