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• Yesterday, 11:19 PM
I don't disagree with your assessment. I do disagree with the pedagogical approach. Always have. Algebra sooner. No need to hide it until...
16 replies | 446 view(s)
• Yesterday, 09:32 PM
You have it right. Why do you doubt? y = f(x) \dfrac{d}{dx}y = f'(x) = y' \dfrac{d}{dx}y^{2} = 2\cdot f(x) \cdot f'(x) = 2yy' The...
2 replies | 47 view(s)
• Yesterday, 09:25 PM
How did you pick which solution for x that you would use? It doesn't matter. I just wondered. Please apply "Completing the Square" to the...
3 replies | 52 view(s)
• Yesterday, 09:18 PM
You earned my respect by simply answering my questions. 1) If you lose 15 in a row, you will lose only 15 - one each round. 2) If you win 15 in a...
12 replies | 421 view(s)
• Yesterday, 05:42 PM
Again, you didn't answer my question. To sum up: 1) Opinions vary. 2) \pm is a little squishy, or opinions wouldn't vary. When one writes...
12 replies | 272 view(s)
• Yesterday, 05:11 PM
Nonresponsive. You made up your own question. We're only talking about one solution. Said another way: If you entered "6+7=" in your AOS...
12 replies | 272 view(s)
• Yesterday, 01:40 PM
Note also, that you may be assuming one flip has ANYTHING to do with some other flip. If the flips are dependent, then you should bet LESS after...
12 replies | 421 view(s)
• Yesterday, 01:02 PM
There are only 32,768 cases for 15 tosses. Spreadsheets work. 1) Are you betting on each flip? 2) Do you reset back to the initial amount on a...
12 replies | 421 view(s)
• Yesterday, 12:56 PM
Well, that's the way I always approached it when I was a child. Of course, I was pretty much a freak, as far as that goes. :-)
16 replies | 446 view(s)
• Yesterday, 09:11 AM
That is right. Gambling is deceptive. One might speak of the wager as "get you ten", when, as you noticed, you get only five. It is a deception...
15 replies | 390 view(s)
• Yesterday, 07:52 AM
It's nice if you can get it in the same form, but it is unnecessary. Just prove the two expressions equivalent. Maybe expand both?
2 replies | 85 view(s)
• 11-20-2017, 10:39 PM
Some presentations refuse to accept any base but 'e'. Read my signature. That's how I feel about that.
2 replies | 82 view(s)
• 11-20-2017, 06:23 PM
"or" excessively defines the situation when a single root is considered separately. \dfrac{-b+\sqrt{b^{2}-4ac}}{2a} =...
12 replies | 272 view(s)
• 11-20-2017, 06:08 PM
1) Yes, a right angle altitude leads to similarity. What does that do for you?
3 replies | 173 view(s)
• 11-20-2017, 06:05 PM
What you are saying is that you have no idea how the formula works. Please tell me what S_{2} means.
4 replies | 99 view(s)
• 11-20-2017, 03:08 PM
Synthetic Division absolutely does NOT capture only Rational Roots. It will find ALL of them, no matter how many or what type. You do know that...
12 replies | 603 view(s)
• 11-20-2017, 12:38 PM
... depending on the Domain, it could be inclusive or exclusive, as far as "or" goes. ...still, as state above, one of those "plus or minus" has to...
12 replies | 272 view(s)
• 11-20-2017, 12:34 PM
Well-stated! Q: "Why do I need algebra? I'll never use it!" A: Yes, you will. Granted, you may not recognize it. Better to learn the...
16 replies | 446 view(s)
• 11-20-2017, 12:31 PM
Agreed. ...or "I'm willing to state, with some confidence, that ____________ will happen. Are you willing to state the complimentary outcome with...
15 replies | 390 view(s)
• 11-20-2017, 10:07 AM
Still no. He risked only $5.$5 of the $10 winnings came from you. Your scenario expresses even greater confidence in winning the bet. He offers... 15 replies | 390 view(s) • 11-20-2017, 09:50 AM "five..." - You wager$5. It is gone. It is the price of playing the game. "...will get you $10" -$10 comes your way if you win. There is...
15 replies | 390 view(s)
• 11-19-2017, 08:26 PM
Maybe someone tore some pages out of a nonfiction book. I have to agree with your assessment. Incorrect question.
3 replies | 122 view(s)
• 11-19-2017, 08:19 PM
There is no definition of \pm. There is only usage that we all play like we understand. They can't be exactly the same unless it is squishy. ...
12 replies | 272 view(s)
• 11-19-2017, 04:42 PM
How many llamas were there initially? Call it something. L? How many alpacas were there initially? Call it something. A? That was about half of...
16 replies | 446 view(s)
• 11-19-2017, 04:40 PM
Why not use that composite idea to prove whether things are inverses? Find (f(g(x)) and g(f(x)).
2 replies | 103 view(s)
• 11-19-2017, 04:36 PM
One at a time, please, and show your work. The first is an existence problem. Who cares exactly WHAT the solution is? We just need to now that...
1 replies | 81 view(s)
• 11-19-2017, 04:33 PM
It is a difficult thing to translate through a third party. Whole Library: N = # of NonFiction Books F = # of Fiction Books We know that F...
3 replies | 122 view(s)
• 11-19-2017, 04:28 PM
Not much to go on. Perhaps the actual problem statement AND your best work?
4 replies | 109 view(s)
• 11-19-2017, 04:25 PM
The method of "b^2"? Isn't this usually called "Completing the Square"? Anyway, \dfrac{-b\pm\sqrt{b^{2} - 4ac}}{2a}\;and\;\dfrac{b\pm\sqrt{b^{2}...
12 replies | 272 view(s)
• 11-19-2017, 04:19 PM
It is a common fallacy in the personal calculation of "winning" at gambling. It sounds like your winnings are more if you forget that you wagered...
15 replies | 390 view(s)
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