An object is dropped from a height of 32 feet about the ground. The expression 32 - 32t^2 can be factored as a first step to find the height of the object, in feet, when t Is the number of
seconds since the object was dropped. Factor the expression completely.

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.)

The graph of a hyperbola is shown. what are the coordinates of a vertex of the hyperbola? (0, −4) (−3, 0) (0, 0) (0, 5)

The table shows values for functions f(x) and g(x) . x f(x)=−4x−3 g(x)=−3x+1+2 −3 9 179 −2 5 53 −1 1 1 0 −3 −1 1 −7 −7 2 −11 −25 3 −15 −79 what is the solution to f(x)=g(x) ? select each correct answer.