Which equation does the graph of the systems of equations solve? quadratic graph opening down and quadratic graph opening up. they intersect at negative 4, 0 and negative 3, negative 1. x2 − 2x + 8 = x2 − 8x − 16 x2 + 6x + 8 = −x2 − 8x − 16 −x2 − 2x + 8 = 2x2 − 8x − 16 −x2 − 2x + 8 = 2x2 − 8x + 16

What is the value of p in the equation y^ = -4x?

The weight of a radioactive isotope was 96 grams at the start of an experiment. after one hour, the weight of the isotope was half of its initial weight. after two hours, the weight of the isotope was half of its weight the previous hour. if this pattern continues, which of the following graphs represents the weight of the radioactive isotope over time? a. graph w b. graph x c. graph y d. graph z

An oil exploration company currently has two active projects, one in asia and the other in europe. let a be the event that the asian project is successful and b be the event that the european project is successful. suppose that a and b are independent events with p(a) = 0.2 and p(b) = 0.8. (a) if the asian project is not successful, what is the probability that the european project is also not successful? (b) what is the probability that at least one of the two projects will be successful? (c) given that at least one of the two projects is successful, what is the probability that only the asian project is successful? (round your answer to three decimal places.)