A factory manufactures a metal piece in 32 minutes. New technology allowed the
factory to cut that time by 8%. Then another improvement cut the time by 5%.
How long does it take to manufacture the piece now? Round your answer to
the nearest minute.

The graph of fx shown below has the same shape as the graph of gx = 3x^2 but is shifted down 2 units

According to the 2008 u.s. census, california had a population of approximately 4 × 10^7 people and florida had a population of approximately 2 × 10^7 people. which of the following is true? a. the population of california was approximately two times the population of florida. b. the population of florida was approximately twenty times the population of california. c. the population of florida was approximately two times the population of california. d. the population of california was approximately twenty times the population of florida.

What is the value of the discriminant, b2 ? 4ac, for the quadratic equation 0 = x2 ? 4x + 5, and what does it mean about the number of real solutions the equation has?