Select the system of linear inequalities whose solution is graphed. coordinate plane with a system of two linear inequalities. the first is a solid line graphed with a slope of negative one, y-intercept of negative 2, and the region containing the origin is shaded. the second is a dashed vertical line 3 units to the left of the origin, and the region containing the origin is shaded. x ≥ –3; y ≥ x – 2 x > –3; 5y ≥ –4x – 10 x > –3; y ≥ –x + 1 x > –2; y ≥ –x – 1

The first few steps in solving the quadratic equation 9x2 + 49x = 22 ? 5x by completing the square are shown. 9x2 + 49x = 22 ? 5x 9x2 + 54x = 22 9(x2 + 6x) = 22 which is the best step to do next to solve the equation by completing the square? 9(x2 + 6x + 3) = 25 9(x2 + 6x + 3) = 49 9(x2 + 6x + 9) = 31 9(x2 + 6x + 9) = 103

An automobile assembly line operation has a scheduled mean completion time, μ, of 12 minutes. the standard deviation of completion times is 1.6 minutes. it is claimed that, under new management, the mean completion time has decreased. to test this claim, a random sample of 33 completion times under new management was taken. the sample had a mean of 11.2 minutes. assume that the population is normally distributed. can we support, at the 0.05 level of significance, the claim that the mean completion time has decreased under new management? assume that the standard deviation of completion times has not changed.

The? half-life of a radioactive substance is 20 years. if you start with some amount of this? substance, what fraction will remain in 120 ? years