Check all conditionals that are a tautology. a. (p → q) v (p → -q) b. (p → q) v (-p → -q) c. (p → q) ^ (p → -q) d. (p → q) ^ (-p → -q) e. (p → q) v (-p → q) f. (p → q) ^ (-p → q)

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

Write the expression in complete factored form. 5n_(c - 3) - n(c - 3) =

Consider the polynomials given below. p(x) = x4 + 3x3 + 2x2 – x + 2 q(x) = (x3 + 2x2 + 3)(x2 – 2) determine the operation that results in the simplified expression below. 35 + x4 – 573 - 3x2 + x - 8 a. p+q b. pq c.q-p d. p-q