Please show work -5/4 mult. 2, -2/3

a. f(x) = 48x^3 + 152x^2+155x+52
b. f(x) = 48x^3 + 152x^2+155x+58
c. f(x) = 48x^3 + 152x^2+162x+50
d. f(x) = 48x^3 + 152x^2+155x+50

Miguel bought a movie ticket that cost $5. he also bought popcorn and a bottle of water. how much did miguel spend altogether?

How many triangles can be drawn with side lengths 4 centimeters, 4.5 centimeters, and 9 centimeters? explain

Suppose that 3% of all athletes are using the endurance-enhancing hormone epo (you should be able to simply compute the percentage of all athletes that are not using epo). for our purposes, a “positive” test result is one that indicates presence of epo in an athlete’s bloodstream. the probability of a positive result, given the presence of epo is .99. the probability of a negative result, when epo is not present, is .90. what is the probability that a randomly selected athlete tests positive for epo? 0.0297