let x = {p ∈ z | p = 5a + 2 for some integer a}, y = {m ∈ z | m = 4b + 3 for some integer
b}, and z = {n ∈ z | n = 4c − 1 for some integer c}.
is x ⊆ y ? (2pts)
justify your answers carefully. (in other words, provide a proof if the statement is true or a disproof if the statement is false.) (8 pts)

In trapezoid efgh, m∠hef=(4x2+16)∘ and m∠gfe=(5x2+12)∘. find the value of x so that efgh is isosceles.

Since opening night, attendance at play a has increased steadily, while attendance at play b first rose and then fell. equations modeling the daily attendance y at each play are shown below, where x is the number of days since opening night. on what day(s) was the attendance the same at both plays? what was the attendance? play a: y = 8x + 191 play b: y = -x^2 + 26x + 126 a. the attendance was never the same at both plays. b. the attendance was the same on day 5. the attendance was 231 at both plays on that day. c. the attendance was the same on day 13. the attendance was 295 at both plays on that day. d. the attendance was the same on days 5 and 13. the attendance at both plays on those days was 231 and 295 respectively.

Suppose you can spend at most $12. create an inequality that represents this restraint. then find at least three ordered pair solutions representing the number of boxes of candy and combos you can buy