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trasher [3.6K]
3 years ago
10

Which is the intersection of the sets {2,3,5,7} and {2,5,11,13}?

Mathematics
1 answer:
pishuonlain [190]3 years ago
4 0

ANSWER

The set of the intersection  of {2,3,5,7} and {2,5,11,13} is

{2,5}


EXPLANATION


Let A={2,3,5,7}


and


B={2,5,11,13}.


The intersection of the two sets are the elements that are in both set A and set B.


The elements that are common to both sets are 2 and 5. So, we write;

A \cap B={2,5}


Therefore the correct answer is C

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3^0 if zero is an exponent then the answer would be 1.


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Answer:

x = 2, 1 + 3i, 1 − 3i

Step-by-step explanation:

Find the Roots (Zeros)

x^4 − 6x^3 + 22x^2 − 48x + 40

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Solve for x.

Factor the left side of the equation.

Factor x^4 − 6x^3 + 22x^2 − 48x + 40 using the rational roots test.

(x − 2) (x^3 − 4x^2 + 14x − 20) = 0

 Factor x^3 − 4x^2 + 14x − 20 using the rational roots test.

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 Combine like factors.

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If any individual factor on the left side of the equation is equal to 0, the entire expression will be equal to 0.

(x − 2)^2 = 0

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Set (x − 2)^2 equal to 0.

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Set x^2 − 2x + 10 equal to 0. x^2 − 2x + 10 = 0

Solve x^2 − 2x + 10 = 0 for x.

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  x =    2 ± 6i/ 2.1

Multiply 2 by 1

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The final answer is the combination of both solutions.

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The final solution is all the values that make (x − 2)2 (x2 − 2x + 10) = 0 true.

x = 2, 1 + 3i, 1 − 3i

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