Answers and explanations:
87. The domain of added functions includes the restrictions of both. So the range of the added function in this question is [-4, 3]
88. When finding the domain of a divided function we do the same as adding, but with an extra rule: g can't equal zero. So for this question the domain is (-4, 3)
89. To graph f + g you add the y-values for each x-value. I added a picture to help explain this one!
You can only cut down a integer number of trees. So you might look at a few integer values for x. As x get large the –x4 term dominates the expression for big losses. x = 0 is easy P(x) = -6. Without cutting any trees you have lost money Put x = 1 and you get for the terms in order -1 + 1 + 7 -1 -6 = 0. So P(x) crosses zero just before you cut the first tree. So you make a profit on only 1 tree. However when x=10 you are back into no profit. So compute a few values for x = 1,2,3,4,5,6,7,8,9.
Answer:
.
Step-by-step explanation:
Given the statement
If
, then E and F are mutually exclusive events.
If two events are mutually exclusive, they have no elements in common. Thus, P(E∩F)=0.
Therefore, the statement is always true as P(E∩F)=0
For mutually exclusive events:
.
Answer:
37 & 67
Step-by-step explanation:
11 & 33
42 & 56
- 42 - 1, 2, 3, 6, 7, 14, 21, 42
- 56 - 1, 2, 4, 7, 8, 14, 28, 56
- Both 42 and 56 are composite numbers
- 42 & 56 is incorrect
37 & 67
- 37 - 1, 37
- 67 - 1, 67
- Both 37 and 67 are prime numbers
- 37 & 56 is correct
57 & 97
- 57 - 1, 3, 19, 57
- 97 - 1, 97
- 57 is a composite number, 97 is a prime number
- 57 & 97 is incorrect
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