Evaluate the expression using the graphs of y = f(x) and y = g(x).Evaluate (fg)(-2).
A. 3
B. 0
C. 4
D. -3
Answer: A
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Solve the problem.There are 3 balls in a hat; one with the number 1 on it, one with the number 4 on it, and one with the number 7 on it. You pick a ball from the hat at random and then you flip a coin. Using a tree diagram , obtain the sample space for the experiment. Then, find the probability that the number on the ball is greater than 6.
A. 
B. 
C. 
D. 
Graph the region that satisfies the constraints.A contractor builds two models of homes, the Raskolnikov and the Karamazov. The Raskolnikov requires 180 worker-days of labor and $300,000 in capital, while the Karamazov requires 270 worker-days of labor and $200,000 in capital. The contractor has a total of 5400 worker-days and $6,000,000 in capital available per month. Let x represent the number of Raskolnikov models and y represent the number of Karmazov models.
A. 
B. 
C. 
D. 
Solve the problem.Coffee is best enjoyed at a temperature of 118°F. A restaurant owner wants to discover the temperature T at which he should serve his coffee so that it will have cooled to this ideal temperature in 4 minutes. He discovers that a cup of coffee served at 197°F cools to 184°F in one minute when his restaurant is at 68°F. If he maintains the restaurant temperature at 68°F, at what temperature should he serve the coffee to meet his goal?
A. 139°F B. 164°F C. 144°F D. 197°F
Answer the question about the given function.Given the function f(x) = 
, is the point (1, - 3) on the graph of f?
A. Yes B. No