marissarebeccaellen
Answered

Find the best solutions to your questions at Westonci.ca, the premier Q&A platform with a community of knowledgeable experts. Explore thousands of questions and answers from knowledgeable experts in various fields on our Q&A platform. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.

PLEASE HELP! I’m almost finished with this assignment if someone could answer these questions correctly I’ll give you Brainliest for saving me haha!
c. When a rational and an irrational number are added, is the sum rational or irrational?
Explain.
Type your response here:
d. When a nonzero rational and an irrational number are multiplied, is the product rational or
irrational? Explain.
Type your response here:
e. Which system of numbers is most similar to the system of polynomials?
Type your response here:
f. For each of the operations—addition, subtraction, multiplication, and division—determine
whether the set of polynomials of order 0 or 1 is closed or not closed. Consider any two
polynomials of degree 0 or 1.
Type your response here:

PLEASE HELP Im Almost Finished With This Assignment If Someone Could Answer These Questions Correctly Ill Give You Brainliest For Saving Me Haha C When A Ration class=

Sagot :

KiraRayne
Answer:
C. The sum of any rational number and any irrational number will always be an irrational number.

Explanation: Each time they assume the sum is rational; however, upon rearranging the terms if their equation, they get a contradiction (that an irrational number is equal to a rational number). Since the assumption that the sum of a rational and irrational number is rational leads to a contradiction, the sum must be irrational.

Answer:
D. Any nonzero rational number times an irrational number is irrational.

Explanation: Assume r is nonzero and rational, and x is irrational. If rx = q, and q is rational, then x = q/r, which is rational. This is a contradiction.

Answer:
E. The system of polynomials is almost the same with the system of whole numbers.

Explanation: We count with and use a base 10 (decimal) system. Polynomials such as the function above are a “base x” system.

Answer:
F. Addition, subtraction, and multiplication would all be closed because every answer would be a polynomial. Division is not closed because when we divide numbers, sometimes they don’t divide evenly, leaving us with a remainder, which we can write as a fraction.

Explanation: (in answer)

I hope this at least semi helps!
Thank you for visiting our platform. We hope you found the answers you were looking for. Come back anytime you need more information. Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. Your questions are important to us at Westonci.ca. Visit again for expert answers and reliable information.