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.
1. B she started with 36 photographs,
22 = b - 18 + 13 - 9
b = 22 + 18 - 13 + 9
b = 36
I translated it into an equation, so I would say C, but since B is the only one with the right answer...
2. A
78 - 5 = 73
73 × 365 = 26645
3. D
4. D
5. A
40 × 86 = 3440
Answer:
1309 marbles
Step-by-step explanation:
- Simon has: 727 - 145 = 582 marbles
All together:
- Kadon marbles + Simon marbles
- 727 marbles + 582 marbles
Answer:
The smallest power of 10 that will exceed 
is 
.
Step-by-step explanation:
We can use the following approach to determine the smallest power of 10 that will exceed M. We can transform that number into scientific notation, which is of the form:
, 
Where:
- Integer part, formed by a digit, which is of the highest order.
- Decimal part, formed by a digit onwards.
- Power grade.
The smallest power of 10 that will exceed M is 
If 
, then, the power grade is number of spaces that dot must be moved leftwards. In this case, dot must be moved 5 spaces on the left. The integer part is 1 and the decimal part is 1852665902. Then, the value of in scientific notation is:
Then, the smallest power of 10 that will exceed is .
As sum of all angles of triangle equal to 180 degrees.
First we have to add the angles.
50+75+55
=50+130
=180 degrees
Answer: Zipora can construct exactly one triangle.
