The height h above the roadway of the main cable of the Golden Gate Bridge can be modeled by the function h(x) = 1/9000x^2-7/15x+500, where x is the distance in feet from the left tower.

a. Complete the square, and write the function in vertex form.

b. What is the vertex, and what does it represent?

c. The left and right towers have the same height. What is the distance between them?

Abag contains 3 red marbles, 2 blue marbles, and 2 green marbles. one marble is picked, then another marble. assume that the selections are made with replacement. a) find the probability of picking two red marbles with replacement. b) find the probability of picking a red marble and a blue marble. assume the selections are made without replacement. c) find the probability of picking two red marbles without replacement. d) find the probability of picking a red marble and a blue marble without replacement.