The graph displays the function g(x) = Equals 2 cosine (x + StartFraction pi Over 2 EndFraction) minus 2. Which function h(x) results when g(x) is translated StartFraction 7 pi Over 8 EndFraction units right and 1 unit down?
h (x) = 2 cosine (x minus StartFraction 3 pi Over 8 EndFraction) minus 1
h (x) = 2 cosine (x minus StartFraction 3 pi Over 8 EndFraction) minus 3
h (x) = 2 cosine (x + StartFraction 11 pi Over 8 EndFraction) minus 1
h (x) = 2 cosine (x + StartFraction 11 pi Over 8 EndFraction) minus 3
On a coordinate plane, a function has a maximum of 0 and minimum of negative 4. It completes one period at 2 pi. It decreases through the y-axis at (0, negative 2).

Acable company wants to provide cell phone service for residents on an island. the function for the cost of laying the cable from the island to the mainland is c(x)= 6.500 square root x2+4, where x represents the length of the cable in feet. what are the domain and range of the function? a) domain: all real numbers range: all real numbers greater than or equal to 17,000 b) domain: all real numbers greater than or equal to 0 range: all real numbers greater than or equal to 17,000 c) domain: all real numbers greater than or equal to 0 range: all real numbers greater than or equal to 13,000 d) domain: all real numbers greater than or equal to 13,000 range: all real numbers greater than or equal to 0

Abox contains 1 plain pencil and 4 pens. a second box contains 5 color pencils and 5 crayons. one item from each box is chosen at random. what is the probability that a plain pencil from the first box and a color pencil from the second box are selected? write your answer as a fraction in simplest form.

The ratio of wooden bats to metal bats in the baseball coach’s bag is 2 to 1. if there are 20 wooden bats, how many metal bats are in the bag?