For the first graph, part a). The limit of f(x) as x approaches 2 from the LEFT follows the line y = 4, which ends at the hollow point (2, 4). This means that the limit is 4.
First graph, part b), The limit as x approaches 2 from the RIGHT follows y = -1, with a hollow point at (2, -1). This means that the limit is -1.
Second graph: We approach x = 3 from the left, following the downward sloping line which ends at the hollow point (3, -1). This means that the limit is -1.
Third graph: We approach x = 3 from the right, following the horizontal line that ends at (3, 3). This means that the limit is 3.
Note that when talking about one-sided limits, we use the hollow point's y-value which the function approaches. However, when looking at the value of f(x), we would use the solid point.
Answer:
B is the answer
Step-by-step explanation:
Answer: a) 4 b) you could make up to 8 liters
Step-by-step explanation:
Answer:
200000
Step-by-step explanation:
The boat licenses are strings of six elements. Let's count the number of ways of constructing such string with the given conditions.
There are 2 ways of choosing the first character of the string (A or M). The second character can be any digit, so there are 10 possible choices. The third character is also any digit, so it can be chosen in 10 ways. Similarly, the fourth character can be chosen in 10 ways, and the fifth character can be chosen in 10 ways.
By the product rule there are 2×10×10×10×10×10=2×10^5=200000 ways to choose all the characters. Every choice of characters becomes a unique string (boat license) thus the number of avaliable boat licenses is 200000.s
For 30 60 90 triangles, the ratio of the side lengths is
where the first is the shorter leg, the second is the longer leg, and the third is the hypotenuse (the longest side that doesn't form a 90 degree angle)
so the ratio of the longer leg to the hypotenuse is <span>
or
</span>
<span>which equals </span>
