The following diagram shows the path of a planet around the Sun. Kepler discovered that _____.
2 answers:
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These are 3 questions and 3 answers.
1) Find
Answer: 4.
Explanation:
The expression means the limit as the function f(x) approaches 2 from the right.
Then, you have to use the function (the line) that comes from the right of 2 and gets as close as you want to x = 2.
That is the line that has the open circle around y = 4, and that is the limit searched.
2) Use the graph to determine the limit if it exists.
Answer:
To determine each limit you use the function from the side the value of x is being approached.
Note, that since the two limits are different it is said that the limit of the function as it approaches 2 does not exist.
3)
Answer: - 1
To find the limit when the function is approached to 3 from the left you follow the line that ends with the open circle at (3, -1).
Therefore, the limit is - 1.
1) Find
Answer: 4.
Explanation:
The expression means the limit as the function f(x) approaches 2 from the right.
Then, you have to use the function (the line) that comes from the right of 2 and gets as close as you want to x = 2.
That is the line that has the open circle around y = 4, and that is the limit searched.
2) Use the graph to determine the limit if it exists.
Answer:
To determine each limit you use the function from the side the value of x is being approached.
Note, that since the two limits are different it is said that the limit of the function as it approaches 2 does not exist.
3)
Answer: - 1
To find the limit when the function is approached to 3 from the left you follow the line that ends with the open circle at (3, -1).
Therefore, the limit is - 1.
Answer:
Step-by-step explanation:
Carlie is running two different business.
She needs to pay:
- For the childcare business,
100$ for the materials
12$ per hour for each associate for her childcare business, so if we call:
= the number of hours worked by each associate
= the number of associates
The total cost for the childcare business is:
(1)
- For the lawn care business,
275$ for the materials
10$ per hour for each associate for her lawn care business, so if we call:
= the number of hours worked by each associate
= the number of associates
The total cost for the lawn care business is:
(2)
Therefore, the total expenses from both businesses is the sum of (1) and (2):