Below is a proof showing that the sum of a rational number and an irrational number is an irrational number.Let a be a rational number and b be an irrational number. Assume that a + b = x and that x is rational.Then b = x – a = x + (–a).x + (–a) is rational because _______________________.However, it was stated that b is an irrational number. This is a contradiction.Therefore, the assumption that x is rational in the equation a + b = x must be incorrect, and x should be an irrational number.In conclusion, the sum of a rational number and an irrational number is irrational.

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general 11 months ago 4728

Carletta and Johnathan are entrepreneurs making mother boards for computers that are being manufactured by their friend, Dewey Sasser. Carletta can make one mother board in 12 hours while it takes Johnathan 16 hours to make one mother board. Dewey suggested they could produce mother boards faster if they combined forces and worked together to build each mother board. What will be the time, in hours, that Carletta and Johnathan can build a mother board when working together? (Round your answer to the nearest hour.)

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general 11 months ago 4937