Mathematics B Regents High School Examination - The University Of The State Of New York, 2003 Page 6
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13 If f and g are two functions defined by f(x) = 3x + 5 and g(x) = x
+ 1,
Use this space for
then g(f(x)) is
computations.
2
2
(1) x
+ 3x + 6
(3) 3x
+ 8
2
2
(2) 9x
+ 30x + 26
(4) 9x
+ 26
14 What is the product of 5 +
and 1 –
, expressed in simplest
–36
–49
a + bi form?
(1) –37 + 41i
(3) 47 + 41i
(2) 5 – 71i
(4) 47 – 29i
θ
2
cos
15 The expression
is equivalent to
θ
sin
2
(1) csc
(3) cot
(2) sec
(4) sin
3
12
16 If sin x =
, cos y =
, and x and y are acute angles, the value of
13
5
cos (x – y) is
21
14
(1)
(3) –
65
65
63
33
(2)
(4) –
65
65
17 The amount of ketchup dispensed from a machine at Hamburger Palace
is normally distributed with a mean of 0.9 ounce and a standard devia-
tion of 0.1 ounce. If the machine is used 500 times, approximately how
many times will it be expected to dispense 1 or more ounces of ketchup?
(1) 5
(3) 80
(2) 16
(4) 100
[6]
Math. B – Aug. ’03
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