Determine whether the relation is a function. explain. {(5, 9), (4, 8), (–7, 4), (0, 4), (2, 4), (3, 9), (–3, 8)} a. yes, each x-value is paired with exactly one y-value. b. no, there is a y-value paired with more than one x-value. c. no, there are no negative y-values. d. no, there is an x-value paired with more than one y-value. select the best answer from the choices provided

The graph of f(x), shown below, resembles the graph of g(x) = x2, but it has been changed somewhat. which of the following could be the equation of f(x)?

The accompanying table shows the numbers of male and female students in a particular country who received bachelor's degrees in business in a recent year. complete parts (a) and (b) below. business degrees nonbusiness degrees total male 189131 634650 823781 female 169539 885329 1054868 total 358670 1519979 1878649 (a) find the probability that a randomly selected student is male, given that the student received a business degree. the probability that a randomly selected student is male, given that the student received a business degree, is nothing. (round to three decimal places as needed.) (b) find the probability that a randomly selected student received a business degree, given that the student is female. the probability that a randomly selected student received a business degree, given that the student is female, is nothing. (round to three decimal places as needed.)

Is a positive integer raised to a negative power always positive