You are setting up a trophy display with twelve out of fifteen trophies for your school. Any trophy can fit anywhere in the display, but the principal has instructed you to put the four first place trophies in four specific spots. What is the probability that placing the trophies at random would work?

(05.03 mc) part a: explain why the x-coordinates of the points where the graphs of the equations y = 4x and y = 2x−2 intersect are the solutions of the equation 4x = 2x−2. (4 points) part b: make tables to find the solution to 4x = 2x−2. take the integer values of x between −3 and 3. (4 points) part c: how can you solve the equation 4x = 2x−2 graphically? (2 points)