Nathan is making blueberry and pineapple kebabs. Each kebab needs the same number of blueberries, b, and the same number of pineapple pieces, p. a. Nathan wants to check if he has enough of each type of fruit to make 12 kebabs. How can the expression 12b + 12p help him do that? b. Nathan’s friend Linda offers to help him make some of the kebabs. Nathan wants to set aside enough fruit for her to make 3 of the kebabs. How can you rewrite 12b 1 12p so that it shows the fruit for Nathan’s kebabs and the fruit for Linda’s kebabs separately?

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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?

The table below represents a linear function f(x) and the equation represents a function g(x): x f(x) −1 −5 0 −1 1 3 g(x) g(x) = 2x − 7 part a: write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x). (6 points) part b: which function has a greater y-intercept? justify your answer. (4 points)