Bruce and Harry play a game involving two fair number cubes with faces labeled 1 through 6. If Bruce tosses a sum of 10 on his n
1 answer:
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Answer:
2½ h
Step-by-step explanation:
Assume the graph is like the one below.
The graph shows how Erin's distance varies with time.
To find out how long it takes Erin to cover 25 mi, find 25 mi on the vertical axis.
From there, draw a horizontal line until it hits the graph.
Then drop a vertical line to the horizontal axis.
It hits half-way between 2 and 3.
It takes Erin 2½ h to run 25 mi.
Answer:
Step-by-step explanation:
Because we have to rewrite this equation in the format , we have to divide, or factor to find basic terms,
Expanding the value of k(x), we have . We see that each term can be divisible by 4, so we can factor out 4 to get
Now, we have two different terms getting multiplied. We can separate the two to get
Because we are multiplying 4 by the other term, this is represented by
Now, we can just set f(x) and g(x) to these functions:
Now, just to make sure, we can plug a value into k(x) and the same value into f(g(x)). Plugging in 1, we have (2(1)+4)2 as 2(2+4), which is 2(6) = 12.
Plugging 1 into f(g(x)), we can evaluate g(1) first, to get 1 + 2 = 3. Now, f(3) = 4(3)= 12, which is the same for k(x).