The greatest common factor of 21, 35, and 49 is 49, which is determined by the prime factorization.
To find the greatest common factor (GCF) of 21, 35, and 49, we can start by finding the prime factorization of each number.
Here are the prime factorizations of the given numbers:
To find the GCF, we need to identify the common prime factors and multiply them together.
Here, the only common prime factor is 7, which appears twice in the prime factorization of 49.
Therefore, the GCF of 21, 35, and 49 is 7 x 7 = 49.
So, the greatest common factor of 21, 35, and 49 is 49.
Learn more about the Greatest Common Factor here:
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{(0, 3),(3, 5),(5, 6),(8, 4)}
{(1, 2),(3, 3),(4, 8),(6, 3)}
{(3, 4),(5, 2),(5, 6),(7, 3)}
A mapping is said to be function if each element in the domain is related with only one element in the range.Or you can say that a relation is a function also when two different elements in domain have same image or related with same element of the Co domain.
The elements which is related with elements of domain is called Co domain.
So , using the definition of function that i have written above you can classify that the relation is a function or not
1. {(2, 2),(4, 4),(6, 6),(8, 8)}
→→Each element is related with itself , no two different images have different Preimage, For example (2,3),(2,4) that is not happening in this case. so this relation is a function.This kind of function is called identity function.
2. (0, 3),(3, 5),(5, 6),(8, 4)→Different element have different images .So this Relation is a function.
3. (1, 2),(3, 3),(4, 8),(6, 3) →→→Here two elements have same image 3. But still this is a function because two elements in domain or preimage can have same image in a function.
4. (3, 4),(5, 2),(5, 6),(7, 3)→→→This is not a function because two different elements of image have same preimage that is image of 2,and 6 have same preimage which is 5. So this is not a function.
From The given options 1,2,3 are functions.
I think option C) is the correct answer.