A bag contains 8 purple marbles, 7 yellow marbles, 8 red marbles, and 3 blue marbles. What is the probability of drawing a purple marble, without replacing it, and then drawing a blue marble?

Use the diagonals to determine whether a parallelogram with vertices u(2,−2), v(9,−2), w(9,−6), and x(2,−6) is a rectangle, rhombus, or square. give all the names that apply.

The table below represents a linear function f(x) and the equation represents a function g(x): x f(x) −1 −5 0 −1 1 3 g(x) g(x) = 2x − 7 part a: write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x). (6 points) part b: which function has a greater y-intercept? justify your answer. (4 points)

Convert 50 kilogram to pounds. (the conversion factor from kilogram to pound is 2.2046.) a. 52.2 lb. b. 110.2 lb. c. 22.6 lb. d. 47.8 lb.