Some steps to rewrite the expression x3 − 16x + x2 − 16 as a product of three factors are shown below: Step 1: x3 − 16x + x2 − 16
Step 2: x3 + x2 − 16x − 16
Step 3: x2(x + 1) − 16(x + 1)

Which of the following best shows the next two steps to rewrite the expression?

Step 4: (x2 + 16)(x + 1); Step 5: (x + 4)(x + 4)(x + 1)
Step 4: (x2 − 16)(x + 1); Step 5: (x + 4)(x + 4)(x + 1)
Step 4: (x2 − 16)(x + 1); Step 5: (x − 4)(x + 4)(x + 1)
Step 4: (x2 + 16)(x + 1); Step 5: (x − 4)(x + 4)(x + 1)

Which represents the solution set of the inequality 5x-9 < 21? a. x < 12/5 b. x > 12/5 c. x > 6 d. x < 6

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?

Give me the equations of two lines that have the same slope but are not parallel.