(50 points)
equation of a parabola is given by the equation = ( − )
2 + ℎ , focus is (3, 7) and the point
(8, - 5) is on the parabola, find the directrix, vertex and the equation of the parabola.
(hint (8, -5) is not the vertex)

Ateacher asked his students to vote for an animal to be their class pet. five-eighteenths of the students voted for a rabbit, voted for a snake, and voted for a hamster. which statement is true? more students voted for a hamster than a snake. more students voted for a snake than a rabbit. more students voted for a rabbit than a hamster. more students voted for a snake than a hamster.

The population of a small rural town in the year 2006 was 2,459. the population can be modeled by the function below, where f(x residents and t is the number of years elapsed since 2006. f(t) = 2,459(0.92)

High school seniors with strong academic records apply to the nation’s most selective colleges in greater numbers each year. because the number of slots remains relatively stable, some colleges reject more early applicants. suppose that for a recent admissions class, an ivy league college received 2851 applications for early admission. of this group, it admitted 1033 students early, rejected 854 outright, and deferred 964 to the regular admission pool for further consideration. in the past, this school has admitted 18% of the deferred early admission applicants during the regular admission process. counting the students admitted early and the students admitted during the regular admission process, the total class size was 2375. let e, r, and d represent the events that a student who applies for early admission is admitted early, rejected outright, or deferred to the regular admissions pool.suppose a student applies for early admission. what is the probability that the student will be admitted for early admission or be deferred and later admitted during the regular admission process?