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#1 2015-12-29 09:06:22
- EbenezerSon
- Member
- Registered: 2013-07-04
- Posts: 554
Some unrelated questions
A few question,
(1)A binary operation is defined on the set of real numbers by a*b = 3ab + a - 2b
Find the value of K which satisfies the equation K * 3 = 14
How would you do this?
(2)Find the next four terms of the sequence given by Un = 3 + 2n for n = 1, 2 ,3 ,4
So is the following solution correct? 3 + 2(1) = 5
3 + 2(2) = 7
3 + 2(3) = 9
3 + 2(4) = 11.
Thank you all
I know only one thing - that is that I know nothing
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#2 2015-12-29 09:11:36
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Some unrelated questions
Hi;
2) Is correct.
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
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#4 2015-12-29 09:37:34
- EbenezerSon
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- Registered: 2013-07-04
- Posts: 554
Re: Some unrelated questions
I'm getting K = 4.666666667 correct?
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#6 2015-12-29 09:43:58
- EbenezerSon
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- Registered: 2013-07-04
- Posts: 554
Re: Some unrelated questions
My final answer is 12.666666 correct?
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#8 2015-12-29 09:51:26
- EbenezerSon
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- Registered: 2013-07-04
- Posts: 554
Re: Some unrelated questions
I go like this 14/3 = 4.666 then had k = 4.66.. then I plugged it into 3ab + a - 2b.
I know only one thing - that is that I know nothing
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#9 2015-12-29 09:59:00
Re: Some unrelated questions
Remember that you cannot simply divide both sides by 3. Multiplication here is not being defined in the usual sense: therefore, the division operation will not be defined in the usual sense, either. What you should do is this:
a*b = 3ab + a - 2b, so that
K*3 = 3(K)(3) + K - 2(3) = 9K + K - 6 = 10K - 6
We want to find the value of K such that K*3 = 14. Therefore, we want to solve:
K*3 = 10K - 6 = 14.
For which value of K is it true that 10K - 6 = 14?
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#10 2015-12-29 10:09:00
- EbenezerSon
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- Registered: 2013-07-04
- Posts: 554
Re: Some unrelated questions
2 right?
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#12 2015-12-29 10:13:32
- EbenezerSon
- Member
- Registered: 2013-07-04
- Posts: 554
Re: Some unrelated questions
Yes sirrrrr!
Thank you!
I know only one thing - that is that I know nothing
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