Match each function formula with the corresponding transformation of the parent function y = 3 x 1. y = 3-x translated left by 1 unit 2. y = 3x + 1 reflected over the y-axis 3. y = -3x reflected over the x-axis 4. y = 3x + 1 translated right by 2 units 5. y = 3x - 2 translated up by 1 unit 6. y = 3x - 2 translated down by 2 units

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.)

Asphere has a diameter of 10 in. what is the volume of the sphere?

Ms.ortiz sells tomatoes wholesale. the function p(x)=-80x^2+320x-10, graphed below, indicates how much profit she makes on a load of tomatoes if she makes on a load of tomatoes if she sells them for 4-x dollars per kilogram. what should ms.ortiz charge per kilogram of tomatoes to make on a load of tomatoes?