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yanalaym [24]
3 years ago
14

Let A={1'3'5'6} B={0'7} check whether A and B are disjoint sets

Mathematics
1 answer:
Setler79 [48]3 years ago
4 0

Given:

The sets are A=\{1,3,5,6\} and B=\{0,7\}.

To find:

Whether A and B are disjoint sets or not.

Solution:

Two sets are called disjoint sets if there are no common elements between them.

We have,

A=\{1,3,5,6\}

B=\{0,7\}

Clearly, there is not common elements between the set A and set B.

Therefore, the sets A and B are disjoint sets.

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If a polynomial function f(x) has roots 3+Sqrt(5) and -6, what must be a factor of f(x)
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Answer:

The two factors of the given polynomial f(x) are (x - 3 -√5) and (x +6) .

Step-by-step explanation:

Here, the roots of the given polynomial f(x)  are

Root 1  =  3 + √5

and  Root 2   =  (-6)

Now,as we know that if x  = a is the root of the any given polynomial p(x), then the expression (x-a) is the FACTOR of the polynomial p(x).

Now, here root 1 : x  = 3 + √5

So, x  - (3 + √5 ) is the FACTOR of the f(x)

or, ( x - 3 -√5) is the   first factor of f(x).

Also, here root 2 : x  = (-6)

So, x  - (-6 )   = x + 6   is the FACTOR of the f(x)

or, ( x +6 ) is the second factor of f(x).

Hence, the two factors of the given polynomial f(x)

are ( x - 3 -√5) and  ( x +6 ) .

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3 years ago
Which shows the best path to find the number of centimeters in 1 yard?
Tomtit [17]

Answer:

I like A the best; B also works.

Step-by-step explanation:

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As does choice A:

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