Find the specified domain and express it in interval notation.For f(x) =  and g(x) = x - 7, what is the domain of g/f ?

A. (3, 7) ? (7, ?)
B. [3, 7) ? (7, ?)
C. [3, ?)
D. (3, ?)


Answer: D

Mathematics

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Find the center and radius and draw the graph.(x - 5)2 + (y - 3)2 = 25

A.

center (-5, 3); radius 5
B.

center (-5-3); radius 5
C.

center (5, -3); radius 5
D.

center (5, 3); radius 5

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Solve the problem.A firm is considering a new product. The accounting department estimates that the total cost, C(x), of producing x units will be C(x) = 60x + 7870.The sales department estimates that the revenue, R(x), from selling x units will be  R(x) = 70x,but that no more than 955 units can be sold at that price. Find and interpret (R - C)(955).

A. -$1680 loss, cost exceeds income It is not worth it to develop product. B. $132,020 profit, income exceeds cost It is worth it to develop product. C. $1680 profit, income exceeds cost It is worth it to develop product. D. $1742 profit, income exceeds cost It is worth it to develop product.

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Solve the problem using matrices.Ron attends a cocktail party (with his graphing calculator in his pocket). He wants to limit his food intake to  protein, 125 g fat, and 153 g carbohydrate. According to the health conscious hostess, the marinated mushroom caps have 3 g protein, 5 g fat, and 9 g carbohydrate; the spicy meatballs have 14 g protein, 7 g fat, and 15 g carbohydrate; and the deviled eggs have 13 g protein, 15 g fat, and 6 g carbohydrate. How many of each snack can he eat to obtain his goal?

A. 4 mushrooms, 6 meatballs, 5 eggs B. 6 mushrooms, 5 meatballs, 4 eggs C. 5 mushrooms, 4 meatballs, 6 eggs D. 7 mushrooms, 6 meatballs, 5 eggs

Mathematics

Find the requested value of the second derivative of the function.f(x) = 4x2 + 6x - 6; Find f"(0).

A. -8 B. 0 C. 8 D. 4

Mathematics