Which statement is true about the functions f(x) and g(x), given below? g(x)

f(x) = -x2 - 4x -4.

1)

3)

f(x) and g(x) have the same roots.

The minimum value of g(x) is greater

than the maximum value of f(x).

f(x) and g(x) have the same y-intercept.

2)

4)

f(x) = g(x) when x = 4.

.

Quick! a survey of 57 customers was taken at a bookstore regarding the types of books purchased. the survey found that 33 customers purchased mysteries, 25 purchased science fiction, 18 purchased romance novels, 12 purchased mysteries and science fiction, 9 purchased mysteries and romance novels, 6 purchased science fiction and romance novels, and 2 purchased all three types of books. a) how many of the customers surveyed purchased only mysteries? b) how many purchased mysteries and science fiction, but not romance novels? c) how many purchased mysteries or science fiction? d) how many purchased mysteries or science fiction, but not romance novels? e) how many purchased exactly two types of books?

Which table shows a proportional relationship between miles traveled and gas used?

Boris needs to buy plastic spoons. brand a has a box 42 spoons for $2.37. brand b has a box of 72 spoons for $3.57. find the unit price for each brand. then state which brand is the better buy based on the unit price. round your answer to the nearest cent.