39. Proof: Supposer and s are rational numbers. If r + s is rational, then by...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
39. "Proof: Supposer and s are rational numbers. If r + s is rational, then by definition of rational r + s = a/b for some integers a and b with b 0. Also sincer and s are rational, r = i/j and s= m/n for some integers i, j, m, and n with j #0 and n = 0. It follows that i m r+s=+ 'b' which is a quotient of two integers with a nonzero denomi- nator. Hence it is a rational number. This is what was to be shown." 39. "Proof: Supposer and s are rational numbers. If r + s is rational, then by definition of rational r + s = a/b for some integers a and b with b 0. Also sincer and s are rational, r = i/j and s= m/n for some integers i, j, m, and n with j #0 and n = 0. It follows that i m r+s=+ 'b' which is a quotient of two integers with a nonzero denomi- nator. Hence it is a rational number. This is what was to be shown."
Expert Answer:
Related Book For
Posted Date:
Students also viewed these mathematics questions
-
39. "Proof: Suppose r and s are rational numbers. If r +s is rational 39. "Proof: Supposer and s are rational numbers. If r + s is rational, then by definition of rational r + s = a/b for some...
-
Show that if R and S are both n-ary relations, then Pi1,i2,...,im(R S) = Pi1,i2,...,im(R) Pi1,i2,...,im(S).
-
Let A = {R, S| R and S are regular expressions and L(R) L(S)}. Show that A is decidable.
-
A sample of size n is randomly selected from a non-normal population with mean and standard deviation o. a. Describe the mean and standard deviation of the sampling distribution of X for all samples...
-
Obtain The Coca-Cola Company's 2010 annual report either using the ''Investor Relations'' portion of its website (do a web search for Coca-Cola investor relations) or go to www.sec.gov and click...
-
Explain the concept of cash flow underwriting.
-
From 2008 to 2015, auto loan rates in the United States declined from around 8% to near historic lows of around 4%. At the same time, auto sales increased dramatically. How, if at all, does this...
-
(Multiple-step and Extraordinary Items) The following balances were taken from the books of Maria Conchita Alonzo Corp. on December 31, 2004. Interest revenue $ 86,000 Accumulated depreciation...
-
What type(s) of error(s) occurs in the following deduction? Briefly justify your answer. 4 = 2+3 4(4)=4(2+3) 4(4)-5=4(2+3)-20 16-5=20-20 11 = 0
-
You are a marketing major and have been working at a major consumer products company for the past three years. Today, your boss walked into your office and said, Polly, I want you to be the Project...
-
(1) How does Knowledge management create competitive advantage? What kinds of measurement models can be utilised to convince an organisation of the ways in which Knowledge Management adds value to an...
-
how to estimate betas, you'll need to regress the stock returns on the market returns for both Goodman and Landry using Excel's SLOPE function.
-
A hypothetical metal has the simple cubic crystal structure shown in the figure below. If its atomic weight is 87.2 g/mol and the atomic radius is 0.193 nm, compute its density.
-
The share price of Sephaku Limited and its dividend history are as follows: Year Beginning of year share price Dividend paid at year end 2018 R100.00 R4.00 2019 110.00 R4.00 2020 90.00 R4.00 2021...
-
3.) Prepare the appropriate journal entries for December 31, 2013; December 31, 2014; December 31, 2015 and December 31, 2016 using the information given for Jamrock Jeeps purchase of the new robotic...
-
5.1) What is the "Herstatt Risk"? What initiative has been taken by the private sector to mitigate such risk? [20%] 5.2) A US company has entered into a plain vanilla swap to pay fixed/receive...
-
in a paragraph format with citations, Please give an in depth analysis for this : \III. Ethics and Laws in Social Media Journalism A. Comparison of ethics and laws in American journalism and...
-
An auto-parts manufacturer is considering establishing an engineering computing center. This center will be equipped with three engineering workstations each of which would cost $25,000 and have a...
-
Define the function majority n as in Problem 9.24. Show that it may be computed with O(n) size circuits. Problem 9.24. Recall that you may consider circuits that output strings over {0,1} by...
-
Let 3 contains all size 3 columns of 0s and 1s. A string of symbols in 3 gives three rows of 0s and 1s. Consider each row to be a binary number and let B = {w * 3 | the bottom row of w is the sum...
-
Let f : N N be any function where f(n) = o(n log n). Show that TIME(f(n)) contains only the regular languages.
-
The financial statements for the business of Jets Ski Equipment are shown below. Additional information 1. All purchases and sales of inventories are on credit. 2. On 1 July 2019, J. Waters injected...
-
Some of the most recent financial statements for Hyland Pty Ltd are shown below. Additional information 1. All purchases and sales of inventories are on credit. 2. On 1 July 2020, the shareholders...
-
The comparative statements of financial position of Cresta Ltd as at 30 June 2019 and 2020, and the income statement and statement of changes in equity for the year ended 30 June 2020 are shown...
Study smarter with the SolutionInn App