The graph of the function f(x) = –(x + 3)(x – 1) is shown below.

which statement about the function is true?

the function is positive for all real values of x where
x < –1.
the function is negative for all real values of x where
x < –3 and where x > 1.
the function is positive for all real values of x where
x > 0.
the function is negative for all real values of x where
x < –3 or x > –1.

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.

Side xy of triangle xyz is extended to point w, creating a linear pair with ∠wyz and ∠xyz. measure of an exterior angle what is the value of x? 64 80 100 180

What is the perimeter of a rectangle if the length is 5 and the width is x?