Use synthetic division to compute the quotient and remainder.

(x³ + x² – 4x – 3) ÷ (x + 2)


x² – x – 2, R = 1

Mathematics

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Fill in the missing value.44 cg =    g

A. 4400 B. 44 C. 0.44 D. 0.044

Mathematics

Use the variable x for the unknown. Write an equation representing the verbal sentence and solve the problem.At a garage sale, the most expensive item was marked $22.00 more than the cheapest item. The sum of the two items was $25.70. Find the cost of the least expensive item.

A. x + 22.00 = 25.70; $3.70 B. 25.70 - x = 22.00; $3.70 C. x(x + 22.00) = 25.70; $1.85 D. x + (x + 22.00) = 25.70; $1.85

Mathematics

Solve the problem.A boy is flying a model airplane while standing on a straight line. The plane, at the end of a twenty-five foot wire, flies in circles around the boy. The directed distance of the plane from the straight line is found to be d = 25 cos where d is measured in feet and t is the time in seconds. If d > 0, the plane is in front of the boy; if d < 0, the plane is behind him. What is the amplitude? What is the period? Graph d over two periods beginning at t = 0. 

What will be an ideal response?

Mathematics

Solve the problem.A company is planning to produce and sell a new video game console. The fixed cost will be  and it will cost $250 to produce each console. Each video game console will be sold for $400. Write the cost function, C, of producing x video game consoles.

A. C(x) = 285,000 + 400x B. C(x) = 285,000 + 250x C. C(x) = 285,000x + 250 D. C(x) = 285,000 - 250x

Mathematics