A company manufactures shipping boxes with equal height and width. The area of the base of each box is at most 28 square inches. The boxes have a band that is one inch thick and that runs the length of the box. This band allows space for printing of a company logo and other needed information. The band's area is x square inches. So, the square face needs to be larger than this band. Given these restrictions, the area of the square front face of the box needs to be, at minimum, 11 inches more than the area of the band. Let the length of a box be x and the height and width of the box be y. This system of inequalities represents this situation:

xy ≤ 28

y2 ≥ x + 11

After we write the inequalities as equations and solve them for y, we graph each equation in the coordinate plane. The graph looks like this:

Determine the solutions to the system. Then sort the given coordinate points based on whether they are or are not solutions to the system.

What is the inverse of the function f(x) = 2x + 1?

The quadratic function h(t)=-16.1t^2+150 choose the graph representation

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?