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# If a point is selected at random from the large

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Unformatted text preview: 0) — opening to the right. 10. (D) The question provides two (t,h) number pairs that satisfy the function: (2,96) and (3,96). For each of the answer choices, plug each of these two (t,h) pairs in the equation given. Only the equation given in choice (D) holds for both (t,h) pairs: (96) = 80(2) – 16(2)2 = 160 – 64 = 96 (96) = 80(3) – 16(3)2 = 240 – 144 = 96 Note that the equation in choice (C) holds for f(2) = 96 but not for f(3) = 96. The equation of the function’s graph is y = –2x – 14. Plugging in each of the five (x,y) pairs given, you can see that this equation holds only for choice (C). 8. (C) You can easily eliminate choices (A) and (B) because each one expresses speed (s) as a function of miles (m), just the reverse of what the question asks for. After the first 50 miles, the plane’s speed decreases from 300 mph to 280 mph. After a total of 100 miles, the speed has decreased to 260. Hence, two of the function’s (s,m) pairs are (280,50) and (260,100). Plugging both of these (s,m) pairs into each of the five equations, you see that only the equation in choice (C) holds (try plugging in additional pairs to confirm this result): (50) = − 5(280) + 750 2 1400 50 = − + 750 2 50 = −700 + 750 50 = 50 (100) = − 5(260) + 750 2 1300 100 = − − + 750 2 100 = −650 + 750 100 = 100 www.petersons.com Additional Geometry Topics, Data Analysis, and Probability DIAGNOSTIC TEST Directions: Answer multiple-choice questions 1–11, as well as question 12, which is a “grid-in” (student-produced response) question. Try to answer questions 1 and 2 using trigonometry. 16 Answers are at the end of the chapter. 1. In the triangle shown below, what is the value of x? 3. The figure below shows a regular hexagon tangent to circle O at six points. (A) (B) (C) (D) (E) 2. 4 5 8 6 5 3 2 2 3 If the area of the hexagon is 6 3 , the circumference of circle O = (A) (B) (C) (D) (E) 3π 3 2 12 3 π 2π 3 In the triangle shown below, what is the value of x ? 12 6π (A) (B) (C) (D) (E) 5 6 43 8 62 273 274 Chapter 16 4. In the xy-plane, which of the following (x,y) pairs defines a point that lies on the same line as the two points defined by the pairs (2,3) and (4,1)? (A) (7,–3) (B) (–1,8) (C) (–3,2) (D) (–2,–4) (E) (6,–1) In the xy-plane...
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## This note was uploaded on 08/15/2010 for the course MATH a4d4 taught by Professor Colon during the Spring '10 term at Embry-Riddle FL/AZ.

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