Answer asap!
1. consider the quadratic equation.
(a) what is the value of the discriminant?
(b) what does the discriminant of the quadratic equation tell about the solutions to?
2. the length of a rectangular floor is 4 feet longer than its width w. the area of the floor is 525 ft2.
(a) write a quadratic equation in terms of w that represents the situation.
(b) what are the dimensions of the floor?
show your work.

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?

In order to be invited to tutoring or extension activities a students performance 20 point higher or lower than average for the

Need to finish my juan wants to build a greenhouse in his back yard. he needs to maximize the ratio of floor area to structure volume in order to provide the most room for plants while minimizing the area to be heated. find the description of the structure that best meets juan’s criteria. a.) a hemisphere with a diameter of 12 feet b.) a cube with a side length of 12 feet c.) a cone with a diameter of 12 feet and a height of 10 feet d.) a square pyramid with a base side length of 12 feet and a height of 9 feet