Which of the following describes the graph of h(x) = –2(–x + 3) + 4? A. Exponential function decreasing from the left asymptotic to the line y equals 4 and going through the point 0 comma negative 4 down to the right
B. Exponential function increasing from the left and going through the point 0 comma negative 4 up to the right asymptotic to the line y equals 4
C. Exponential function decreasing from the left asymptotic to the line y equals negative 4 and going through the point negative 1 comma negative 8 down to the right
D. Exponential function increasing from the left and going through the point 1 comma negative 8 up to the right asymptotic to the line y equals negative 4

How do you find the area of this triangle.

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?

1- is the product of two rational numbers irrational or rational? first, make a hypothesis by multiplying two rational numbers. then, use variables such as x=a/b and y=c/d and the closure property of integers to prove your hypothesis. 2- what do you think the product of a nonzero rational number and an irrational number is? is it rational or irrational? make use of variables, the closure property of integers, and possibly a proof by contradiction to prove your hypothesis. 3- why do we have to specify that the rational number must be nonzero when we determine what the product of a nonzero rational number and an irrational number is? if the rational number were 0, would it give us the same result we found in part b?