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sertanlavr [38]
3 years ago
11

Antifreeze lowers the freezing point of the engine coolant. According to the data in the table, what percent of antifreeze would

lower the freezing point to -9°F?
A. 31%
B. 33%
C. 35%
D. 37%
Mathematics
1 answer:
Strike441 [17]3 years ago
6 0
B: 33% and dont click that link its a virus.
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Hello there!
Ipatiy [6.2K]
Answers:
The limit as x approaches 3 does not exist (DNE)

The function value f(3) is equal to 5, so f(3) = 5

In short, the answer is choice B

=============================================

Explanations:

Let's start with computing the limit. First locate 3 on the x axis. Then move slightly to the left of 3, say to x = 2. Draw a vertical line upward until you hit the function curve. Mark the point on the function curve and then drag that point closer and closer to x = 3. Notice how y is getting loser to y = 3.

Then do the same for the other side of x = 3. Start at x = 4 and move to the left to get to x = 3. Get closer and closer, and you'll notice that y is getting closer to y = 5. These two differing y values tell us that the limit as x approaches 3 does not exist. 

Alternatively: The left hand limit (LHL) and right hand limit (RHL) are different, so the overall limit does not exist. 

---------------------

The function value f(3) is simply 5 because we draw a vertical line through x = 3 and it intersects the function at (3,5). Take note how I'm focusing on the closed circle and not the open circle. The open circle is a gap or hole in the graph.

Note: because the limit at x = 3 and the function value at x = 3 differ, this means we have a discontinuity. 
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Step-by-step explanation:


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