Which of the following equations might have the graph shown below? (Check all that apply.)

Are the functions below the same?

Explain.
2f is a linear function and g is rational function. The domain of f is areal numbers and the domain of g is all real numbers except -1.

Suppose that the manufacturer of a gas clothes dryer has found that, when the unit price is p dollars, the revenue R (in dollars) is given by the equation below.

R(p) = -4p² + 3840p

What price should be established for the dryer to maximize revenue?
$

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1
What is the maximum revenue?
$

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2

Find functions f and g so that fg = H.

f(x) = |x|
g(x) =

Enter a mathematical expression.

1

A state trooper is hidden 30 feet from a highway. One second after a truck passes, the angle between the highway and the line of observation from the patrol car to the truck is measured. See the illustration.

(a) If the angle measures 12°, how fast is the truck traveling? Express the answer in feet per second and in miles per hour.

Enter a number.

1 ft/s

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2 mph
(b) If the angle measures 22°, how fast is the truck traveling? Express the answer in feet per second and in miles per hour.

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3 ft/s

Enter a number.

4 mph
(c) If the speed limit is 50 miles per hour and a speeding ticket is issued for speeds of 5 miles per hour or more over the limit, for what angles should the trooper issue a ticket?
<

Enter a number.

5°