Each statement describes a transformation of the graph of f(x) = x. which statement correctly describes the graph of g(x) if g(x) = f(x - 11)? a. it is the graph of f(x) translated 11 units to the left. b. it is the graph of f(x) where the slope is increased by 11. c. it is the graph of f(x) translated 11 units up. d. it is the graph of f(x) translated 11 units to the right.

The figure above shows the lengths of thesides of a rectangle in cm. find the valuesof x and y and then the area of the rectangle. sides: top= 3x - yleft= 3y + 4bottom= 2x + yright= 2x - 3 use both methods, elimination and substitution, if possible.

Consider the proof. given: segment ab is parallel to line de. prove: what is the missing statement in step 5?

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.)