Which equations represent hyperbolas? a) 2x2 + 16x + 2y2 + 14y − 9 = 0 b) 2x2 + 4x − 5y2 − 10y + 57 = 0 c) -x2 + 5x − 7y2 + 2y − 81 = 0 d) x − 2y2 + 4y + 15 = 0 e ) -x2 + 12x + 3y2 + 7y + 11 = 0

Complete the truth table a. t, f, f, t b. t f f f c. f t f t d f t f t

The label on the car's antifreeze container claims to protect the car between ? 40°c and 125°c. to convert celsius temperature to fahrenheit temperature, the formula is c = 5 over 9 (f ? 32). write and solve the inequality to determine the fahrenheit temperature range at which this antifreeze protects the car. ? 40 > 5 over 9 (f ? 32) > 125; ? 40 > f > 257 ? 40 < 5 over 9 (f ? 32) < 125; ? 40 < f < 257 ? 40 < 5 over 9 (f ? 32); ? 40 < f 5 over 9 (f ? 32) < 125; f < 257

Determine whether the points (–3,–6) and (2,–8) are in the solution set of the system of inequalities below. x ? –3 y < 5? 3x + 2 a. the point (–3,–6) is not in the solution set, and the point (2,–8) is in the solution set. b. neither of the points is in the solution set. c. the point (–3,–6) is in the solution set, and the point (2,–8) is not in the solution set. d. both points are in the solution set.