Mathematics, 30.01.2020 02:00 bradenhale
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 โ a = x + (โa).
x + (โa) 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.
which of the following best completes the proof?
a. it is the sum of two rational numbers.
b. it is the sum of two irrational numbers.
c. it represents a non-terminating, non-repeating decimal.
d. its terms cannot be combined.
Answers: 3
Mathematics, 21.06.2019 14:50
Statement: if two points are given, then exactly one line can be drawn through those two points. which geometry term does the statement represent? defined term postulate theorem undefined term
Answers: 1
Mathematics, 21.06.2019 18:00
Assume that the weights of quarters are normally distributed with a mean of 5.67 g and a standard deviation 0.070 g. a vending machine will only accept coins weighing between 5.48 g and 5.82 g. what percentage of legal quarters will be rejected? round your answer to two decimal places.
Answers: 1
Mathematics, 21.06.2019 21:30
50 people men and women were asked if they watched at least one sport on tv. 20 of the people surveyed are women, but only 9 of them watch at least one sport on tv. 16 of the men watch at least one sport on tv. make a a two-way table and a relative frequency table to represent the data.
Answers: 3
Below is a proof showing that the sum of a rational number and an irrational number is an irrational...
Biology, 04.10.2019 19:30
Mathematics, 04.10.2019 19:30
Social Studies, 04.10.2019 19:30
Health, 04.10.2019 19:30
Mathematics, 04.10.2019 19:30
Mathematics, 04.10.2019 19:30
Physics, 04.10.2019 19:30
Physics, 04.10.2019 19:30
Chemistry, 04.10.2019 19:30
Mathematics, 04.10.2019 19:30