Graph the indicated new function, given the graph for y = f(x).y = f(ax), where a satisfies 0 < a < 1
?
A. 
B. 
C. 
D. 
Answer: A
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Solve the problem.Ron takes two hr more time than Paul to mow the lawn. Working together they can mow the lawn in 
. How long does it take each of them working alone? Round to the nearest tenth, if necessary.
A. Paul: 8 hr; Ron: 10 hr B. Paul: 10 hr; Ron: 12 hr C. Paul: 8.3 hr; Ron: 10.3 hr D. Paul: 9.1 hr; Ron: 11.1 hr
Complete the identity.sin 5x sin 8x cos 5x cos 8x = ?
A. 
B. cos2 80x
C. 
D. 
Solve the problem.A product of two oscillations with different frequencies such as f(t) = sin (10t) sin(t)is important in acoustics. The result is an oscillation with "oscillating amplitude." src="https://sciemce.com/media/4/ppg__ttt0527191152__f1q36g4.jpg" alt="" style="vertical-align: -4.0px;" /> last two functions constitute an "envelope" for the function g(t). For certain values of t, the two cosine functions in g(t) cancel each other out and near-silence occurs; between these values, the two functions combine in varying degrees. The phenomenon is known (and heard) as "beats." For what values of t do the functions cancel each other?
What will be an ideal response?
the product f(t) of the two oscillations as a sum of two cosines and call it g(t).
a graphing utility, graph the function g(t) on the interval 0 ? t ? 2?.
the same system as your graph, graph y = sin t and y = -sin t.
Find the domain of the indicated combined function.Find the domain of (f + g)(x) when f(x) = 9 - 5x and g(x) = -9x + 3.
A. Domain: (-5, ?) B. Domain: (-9, 5) C. Domain: (-?, 9) D. Domain: (-?, ?)