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
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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.
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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.
We know that
360°/12 hour----------> 30°/hour
that means
1 hour ----------> represent 30° in t<span>he clock hands
</span>so
150°+2 hour---------> 150°+2*30°-------> 150°+60°------> 210°
the answer is
the angle measure of the hands of the clock when basketball practice starts could be 210°
Answer:
that means you probably have 40 or 30
Step-by-step explanation:
Answer:
Adult: 50 tickets
Child: 34 tickets
Step-by-step explanation:
Let a be the amount of adult tickets
Let c be the amount of child tickets
Equation:
a + c = 84
14a + 9c = 1,006
Step 1: Multiply a + c = 84 with -9, to canceled c.
-9 (a + c = 84) → -9a - 9c = -756
14a + 9c = 1006 → 14a + 9c = 1006
Step 2: Combined the 2 equation together, and solved it.
-9a - 9c = -756
<u>14a + 9c = 1006</u>
<u> 5a</u> = <u>250</u>
5 5
a = 50
Step 3: Plug 50 into the one of the equation, and solved it.
a + c = 84 → 50 + c = 84
<u>-50 -50</u>
c = 34
Answer: Adult tickets (a) = 50 and Child tickets (c) = 34
To check the answer plug the two number into the equation ( Make sure to add 50 for a and 34 for c).
