Math 112 Final Exam Study Aid Worksheet With Answer Key Page 22

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Math 112
Final Exam Study Aid
22 of 39
72. Find the vertex of the quadratic function
2
f (x) = 3x
+ 7x + 4.
The vertex is located:
(A) Above the x-axis
(B) Below the x-axis
(C) At the origin
(D) On the x-axis but not at the origin
(E) None of these
73. A skydiver jumps out of a plane from a height of 13000 feet. Her height (in feet) above
the ground t seconds after she jumps is given by the function
2
h(t) =
16t
24t + 13000.
If she plans to open her parachute at a height of 3000 feet, how long after she jumps
should she open her parachute? Round your answer to one decimal place.
(A) 25.8 seconds
(B) 27.8 seconds
(C) 24.3 seconds
(D) 30.9 seconds
(E) 48.6 seconds
74. A horticulturist has determined that the number of inches a young oak tree grows in
2
one year is a function of the annual rainfall, r, given by g(r) =
0.01r
+0.1r +2. What
is the maximum number of inches a young oak can grow in a year? The maximum
number of inches is:
(A) less than 1
(B) between 1 and 2
(C) between 2 and 3
(D) between 3 and 4
(E) between 4 and 5

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