The table below represents the distance of an airplane from its destination as a function of time:

time
(hours)
x distance
(miles)
y
0 2,700
1 2,160
2 1,620
3 1,080
4 540

part a: what is the y-intercept of the function, and what does this tell you about the airplane?

part b: calculate the average rate of change of the function represented by the table between x = 1 to x = 4 hours, and tell what the average rate represents.

part c: what would be the domain of the function if the airplane continued to travel at this rate until it reached its destination?

In the diagram, the ratios of two pairs of corresponding sides are equal to prove that almn - axyz by the sas similarity theorem, it also needs to be shown that x 6 z un z zz un = 2x zləzz lezy

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?

Simplify. 3(4+4x) (type your answer in with no spaces)