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Directions:
These are the Part II, III, and IV long response questions. Have paper
ready to work out the problems, then check your answers by clicking the ANSWER
button. You may use your graphing calculator.
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Part II:
28 Solve for all
values of x:
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29
Two
circles whose equations are (x - 3)2 +
(y - 5)2 = 25 and
(x - 7)2 + (y - 5)2
= 9 intersect in two points. What is the equation
of the line passing through these two points? |
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30
Evaluate:
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31
Solve: x2 - x
- 12 > 0. State the answer in interval notation.
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| 32
A car's stopping distance
varies directly with the speed it travels, and
inversely with the friction value of the road
surface. If a car takes 60 feet to stop at 32 mph, on a
road whose friction value is 4, what would be the
stopping distance of a car traveling at 60 mph on a road
with a friction value of 2?
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33 Find the
zeros of the polynomial function:
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34
Solve for x:
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35 |
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Part III:
36 The
accompanying table shows the number of bacterial present
in a certain culture over a 5-hour period, where x
is the time, in hours, and y is the number of
bacteria.
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x |
y |
| 0 |
1,000 |
| 1 |
1,049 |
| 2 |
1,100 |
| 3 |
1,157 |
| 4 |
1,212 |
| 5 |
1,271 |
Write an exponential
regression equation for this data, rounding all
values to four decimal places.
Using this equation,
determine the number of whole bacteria present when
x equals 6.5 hours.
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| 37 During
a training exercise in the Mojave Desert, two military
vehicles left the base camp at the same time, one
traveling at an average speed of 25 miles per hour and
the other at an average speed of 50 miles per hour.
Each vehicle traveled along a level, straight route.
If the exercise requires the two vehicles to be 65 miles
apart after traveling 1 hour, what must the angle
between the two routes be, to the nearest degree? |
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| 38 The
sum of twice a positive integer and four times the
reciprocal of the integer is 9. Find the integer. |
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Part IV:
39 Perform
the indicated operations and simplify completely:
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