The intersection of A and B is
Explanation:
The event A is
The event B is
Now, we shall find the intersection of the events A and B.
By definition, the intersection of the two events is the set which contains the elements that are found common in both the events.
Thus, from the definition, we need to determine the common elements that are found in both events.
Hence, from event A and B, the common elements that are found in both the events is Pumpkin pie.
Thus, the intersection of A and B is
Answer:
Option D
The domain of the function is: {4, 7}
Step-by-step explanation:
We know that for polynomial functions like its domain and its rank are all real numbers. However, for this case we are told that the function range is: the set {25, 64}
This means that the function is bounded.
Then the domain of f(k) are all possible values of k such that f(k) belongs to the interval {25, 64}.
To find the limit values of k then we do f(k) = 25
Now we factor the expression:
Then k = 4 and k = -6.
Now we do f(k) = 64
We factor the expression:
k = -9 and k = 7.
Finally we search between the options given an interval that matches.
The option that matches is option D {4, 7}
Finally, the domain of the function is: {4, 7}