Mathematics 14 June 2007 Questions Answer Keys

**The University of the State of New York **Regents High School Examination

Mathematics B

Thursday, June 14, 2007 — 1:15 to 4:15 p.m., only

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**1. The accompanying graph represents the equation y = f(x).**

**2. During a single day at radio station WMZH, the probability that a particular song is played is .38. Which expression represents the probability that this song will be played on exactly 5 days out of 7 days?**

- (1)
_{7}C_{5}(.38)^{2}(.62)^{5} - (2)
_{7}C_{5}(.38)^{5}(.62)^{2} - (3)
_{7}P_{5}(.38)^{5}(.62)^{2} - (4)
_{7}C_{2}(.38)^{5}(.62)^{2}

**3. Which equation is best represented by the accompanying graph?**

- (1) y = 6
^{x} - (2) y = 6x
^{2} - (3) y = 6x + 1
- (4) y = −x
^{2}+ 1

**4. Jack is planting a triangular rose garden. The lengths of two sides of the plot are 8 feet and 12 feet, and the angle between them is 87°. Which expression could be used to find the area of this garden?**

- (1) 8 • 12 • sin 87°
- (2) 8 • 12 • cos 87°
- (3) ½ • 8 • 12 • cos 87°
- (4) ½ • 8 • 12 • sin 87°

**5. What could be the approximate value of the correlation coefficient for the accompanying scatter plot?**

- (1) −0.85
- (2) −0.16
- (3) 0.21
- (4) 0.90

**6. What is one solution of the accompanying system of equations?**

y = −x^{2} + 5

= −0.5x^{2} + 3

- (1) (3,5)
- (2) (0,5)
- (3) (−2,1)
- (4) (0,3)

**7. Which inequality is represented by the accompanying graph?**

- (1) |x + 2|> 5
- (2) |x + 3|≥ 2
- (3) |x − 1|≤ 5
- (4) |x − 5|≥ 2

**8. The volume of a soap bubble is represented by the equation V = 0.094√A ^{3}, where A represents the surface area of the bubble. Which expression is also equivalent to V?**

**10. A function, f, is defined by the set {(2,3), (4,7), (−1,5)}. If f is reflected in the line y = x, which point will be in the reflection?**

- (1) (5,−1)
- (2) (−5,1)
- (3) (1,−5)
- (4) (−1,5)

**11. Which equation is represented by the accompanying graph?**

- (1) y = cos x
- (2) y = cos ½ x
- (3) y = cos 2x
- (4) y = ½ cos x

**14. The expression 1 + √2 + ^{3}√3 is equivalent to**

**15. Which set of ordered pairs does not represent a function?**

- (1) {(3,−2), (−2,3), (4,−1), (−1,4)}
- (2) {(3,−2), (3,−4), (4,−1), (4,−3)}
- (3) {(3,−2), (4,−3), (5,−4), (6,−5)}
- (4) {(3,−2), (5,−2), (4,−2), (−1,−2)}

**16. Cerise waters her lawn with a sprinkler that sprays water in a circular pattern at a distance of 15 feet from the sprinkler. The sprinkler head rotates through an angle of 300°, as shown by the shaded area in the accompanying diagram.**

What is the area of the lawn, to the nearest square foot, that receives water from this sprinkler?

- (1) 79
- (2) 94
- (3) 589
- (4) 707

**17. Which number is the discriminant of a quadratic equation whose roots are real, unequal, and irrational?**

- (1) 0
- (2) −5
- (3) 7
- (4) 4

**18. The formula S = 20√t + 273 is used to determine the speed of sound, S, in meters per second, near Earth’s surface, where t is the surface temperature, in degrees Celsius. Which graph best represents this function?**

**19. If 2 + i and 2 − i are the roots of the equation x^{2} − 4x + c = 0, what is the value of c?**

- (1) −5
- (2) 5
- (3) −4
- (4) 4

- (1) 1
- (2) sin
*A* - (3) sec
*A* - (4) csc
*A*

**Mathematics 14 June 2007 Questions Answers Keys**

Mathematics Examination Question |

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