2. Find a polynomial function p(t) with integer coefficients that satisfy the given conditions.

a: p(t) has degree 2 and zeros at t=−1 and t= 1 with y-intercept y= 4.

b: p(t) has degree 5 and zeros at t= 0, t= 2, and t=−4, with the multiplicity of t= 2 is 3.

c: p(t) has degree 3 and zeros at t= 3, t= 2i, and t=−2i. Make sure that p(t) in your final answer has real coefficients.

d: p(t) has degree 3 and zeros at t= 0 and t= 3−2i. Make sure that p(t) in your final answer has real coefficients.

Because of your favorite lemonade it is $3.84 for 3 gallons. write this as an unit rate

Lucy and donavan measured the length of the school garden. lucys measurement is 11.3m and donavans measurement is 113 cm. could both be correct? 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