When the fundraiser began, 600 people wanted to purchase the dance troupe’s t-shirts at $12 per t-shirt, but as the group increased the price of their t-shirts, they noticed a fall in the demand. for every $1 increase in price, the demand fell by 50 shirts. the dance troupe’s initial supply was short by 210 t-shirts which corresponded to an initial price of $9.75. for every $1 increase in price, they ordered 40 more t-shirts. write a system of linear equations to represent both the demand and supply for the t-shirts. let q represent the quantity of t-shirts and p represent the price.

The number of fish in a lake can be modeled by the exponential regression equation y=14.08 x 2.08^x where x represents the year

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?

For g(x) = 5x - 3 and h(x) = [tex]\sqrt{x}[/tex], find (g · h)(4)