Note: i finished the first part, i jus need w the second part !
which of the equations from part a represent adding two rational numbers? what hypothesis can you make about the sum of two rational numbers? will the addition result in a rational or an irrational number? similarly, which equations represent the sum of a rational and an irrational number? what hypothesis can you make about the sum of an irrational and a rational number?

  see below

Step-by-step explanation:

Which of the equations from part A represent adding two rational numbers?

  Equations A, C, E

What hypothesis can you make about the sum of two rational numbers?

  The sum of two rationals will always be rational

Will the addition result in a rational or an irrational number?

  Our hypothesis is that the result is always rational. This can be justified by the fact that the sum of two rationals a/b + c/d, where a, b, c, d are integers and bd≠0, is (ad+bc)/(bd), a rational, based on closure of integers for multiplication and addition.

Which equations represent the sum of a rational and an irrational number?

  Equations B, F

What hypothesis can you make about the sum of an irrational and a rational number?

  The sum of a rational and irrational number is always irrational.

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step-by-step explanation:

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