1. We found numbers h and k such that, for every real number
x, ax^2 + bx + c = a(x − h)^2 + k as long as a, b and c are real numbers and a≠0.

(a) What are those numbers h and k in terms of a, b and c?

(b) Now, if a > 0, use the fact that t^2 ≥ 0 for every real number t to conclude ax^2+ bx + c ≥ k for every real number x.

Scott harris can invest $7,000 in a 1-year cd that earns interest at an annual rate of 4 percent compounded monthly. the amount per $1.00 is 1.040742. he can also invest $7,000 in a 1-year cd at annual rate of 4 percent compounded quarterly. the amount per $1.00 is 1.040604. what is the difference in the amount of interest earned for each investment? a) $0.96 b) $0.81 c) $0.87 d) $0.88

Write a description of each inequality. 1. -5a + 3 > 1 2. 27 - 2b < -6 (this < has a _ under it) 3. 1/2 (c + 1) > 5 (this > has a _ under it)

Solve the problem by making up an equation. a man could arrive on time for an appointment if he drove the car at 40 mph; however, since he left the house 15 minutes late, he drove the car at 50 mph and arrive 3 minutes early for the appointment. how far from his house was his appointment?