by "ttyymmnn" (ttyymmnn)
Published 09/07/2017 at 00:16
by "ttyymmnn" (ttyymmnn)
Published 09/07/2017 at 00:16
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Which one of you Einsteins wants to help me with this? My son is going to fail freshman algebra if he relies on me.
(5 – x) + (6 – x) – (5 – x) = 0
10n – (8n + 8) – 4 > 2
"TheHondaBro" (wwaveform)
09/07/2017 at 00:19, STARS: 1
1 - x = 0
x = 1
2n + 4 > 2
2n > -2
n < -1
"ttyymmnn" (ttyymmnn)
09/07/2017 at 00:21, STARS: 0
Am I missing something, or are you completely ignoring the parentheses?
"TheHondaBro" (wwaveform)
09/07/2017 at 00:22, STARS: 0
You can ignore the parentheses in this case. You’re simply adding/subtracting the terms.
"Daily Drives a Dragon - One Last Lap" (ddadragon)
09/07/2017 at 00:22, STARS: 2
Plug that first one back in. I don’t think it quite works.
"For Sweden" (rallybeetle)
09/07/2017 at 00:23, STARS: 1
For the first equation, the (5 - x) terms cancel out; (5 - x) - (5 - x) = 0
The equation becomes (6 - x) = 0 => x = 6
"TheHondaBro" (wwaveform)
09/07/2017 at 00:23, STARS: 0
Look, I’m better with calculus.
"TheHondaBro" (wwaveform)
09/07/2017 at 00:23, STARS: 0
Fuck me.
"ttyymmnn" (ttyymmnn)
09/07/2017 at 00:24, STARS: 0
That makes more sense. My wife got that far, but I was no help.
"CB" (jrcb)
09/07/2017 at 00:25, STARS: 0
Well, in your first equation, if you rearrange it, you get (5 - x) - (5 - x) + (6 - x) = 0 . The first part cancels out, so you get 6 - x = 0. So, 6 = x.
For the second one, I have no clue.
"For Sweden" (rallybeetle)
09/07/2017 at 00:25, STARS: 6
If it’s not calculus it might as well be liberal arts tbh
"WRXforScience" (WRXforScience)
09/07/2017 at 00:27, STARS: 3
In the top equation, distribute the negative into the last terms =>
5-x+6-x-5+x=0
then combine like terms
5+6-5= 6 and -x-x+x =-x
together: 6-x=0; therefore, x=6
Bottom:
again, distribute the negative
10n-8n-8-4>2
2n-12>2
2n>14
n>7
"gmporschenut also a fan of hondas" (gmporschenut)
09/07/2017 at 00:29, STARS: 1
10N-(8N+8) -4>2
10N -8N-8-4>2
2N-12>2
+12 +12
2N>14
/2 /2
N>7
"Daily Drives a Dragon - One Last Lap" (ddadragon)
09/07/2017 at 00:30, STARS: 0
1on - (8n + 8) > 6
-8n - 8 > 6- 10n (distribute negative)
2n > 2
n >1
I think this is right but man it’s been a while
Edit. Yeah I’m stupid. N>7
"dsigned001 - O.R.C. hunter" (dsigned001)
09/07/2017 at 00:33, STARS: 0
Math teacher here. This is the correct solution.
"ttyymmnn" (ttyymmnn)
09/07/2017 at 00:34, STARS: 0
I’m a musician. All I have to do is be able to count to three.
"ttyymmnn" (ttyymmnn)
09/07/2017 at 00:37, STARS: 0
I didn’t think you could just ignore the parentheses.
"WRXforScience" (WRXforScience)
09/07/2017 at 00:38, STARS: 0
I’m a physics teacher so I was pretty confident, but it’s good to get a little confirmation though.
is a great resource, especially for math.
"For Sweden" (rallybeetle)
09/07/2017 at 00:41, STARS: 1
oh rly?
"Highlander-Datsuns are Forever" (jamesbowland)
09/07/2017 at 00:42, STARS: 0
my wife can math and she is a professional musician too.
"For Sweden" (rallybeetle)
09/07/2017 at 00:42, STARS: 6
Former math student here; Wolfram Alpha taught me well
"ttyymmnn" (ttyymmnn)
09/07/2017 at 00:49, STARS: 0
For years, my teacher, one of the greatest trumpet pedagogues of our generation, kept telling me, “If you can count to three, you can play music.” I never had the nerve to ask him about four, but one day he said, “Of course, four is nothing more than two plus two.”
Even though Bach wrote that in 18/16, you would still just count it in three. The only hard part would be the first beat in the second measure, where the right hand divides into 6 while the left hand divides into four. Some people could do that. I’d just make a best guess, knowing that it comes somewhere after the fifth 16th note.
"ttyymmnn" (ttyymmnn)
09/07/2017 at 00:52, STARS: 0
Well, I could math, but I never cared to learn how. There is an extraordinary amount of math in music, but you really only have to be able to count to three .
"dsigned001 - O.R.C. hunter" (dsigned001)
09/07/2017 at 00:52, STARS: 4
Math teacher here:
The first one is order of operations (actually, they’re both order of operations problems, but the second one is an inequality, so we’ll address that but separately). PEMDAS is the one that you were likely taught as a kid, but the problem is that a) you have to remember what it stands for and b) m&d and a&s don’t actually go in any particular order. In other words, for all intents and purposes multiplication and division are two sides of the same coin, as are addition and subtraction. That is, dividing by 5 be is the same as multiplying by 1/5. And subtracting 5 is the same as adding -5. Otherwise the order doesn’t matter.
So, given that, what trips people up is how we take things out of parentheses. There are a couple of ways to think about it. The first way is distributing the negative sign that’s in front of parentheses like it’s a negative 1. So
– (5 – x) becomes
(-1)(5)+(-1)(-x) = -5 + x
and
-(8n + 8) becomes
(-1)(8n)+(-1)(8) = -8n -8
Alternatively, when multiplying or dividing, the negative signs pair up to become plus signs (don’t ask me why, but that’s how I think of them).
As for the inequality, it behaves exactly like an equals sign EXCEPT if you multiply or divide by a negative.
For example,
5 < 10
(Five is less than ten)
But if we multiply both sides by negative one,
-5 < - 10
Our inequality is now false, because negative ten is actually less than negative five.
So multiplying or dividing each side by a negative must change the direction of the inequality, or else the universe will explode.
"dsigned001 - O.R.C. hunter" (dsigned001)
09/07/2017 at 00:57, STARS: 2
Oh you can ignore them. There are just consequences for doing so.
"ttyymmnn" (ttyymmnn)
09/07/2017 at 00:57, STARS: 0
But what happens if I divide by 0?
"dsigned001 - O.R.C. hunter" (dsigned001)
09/07/2017 at 00:59, STARS: 0
Same as multiplying by 1/0. Your answer is some form of infinity, IIRC.
"ttyymmnn" (ttyymmnn)
09/07/2017 at 00:59, STARS: 1
This is a fantastic explanation. Thank you very much. I’ll be sure to show it to my son. It’s been 30 years since I did this, and I dropped my college algebra class because I didn’t need it (I’m a musician). I particularly appreciate how you explained the distribution of the negative sign. That is something that I think my son will understand. Hell, I did!
Thanks again.
"ttyymmnn" (ttyymmnn)
09/07/2017 at 01:01, STARS: 3
"dsigned001 - O.R.C. hunter" (dsigned001)
09/07/2017 at 01:05, STARS: 0
My pleasure! I actually majored in philosophy, but I hit something of a perfect storm if bad luck (career wise, that is, life wise having kids is quite wonderful luck). The economy tanked the year after I graduated, I got my fiancee pregnant, and my depression kicked into high gear. Math and IT were my most easily marketable skills...
"Rusty Vandura - www.tinyurl.com/keepoppo" (rustyvandura)
09/07/2017 at 01:05, STARS: 0
Definition of division is a divides b when there exists a number c such that a*c = b. (a <> 0 and a, b & c are integers) Dividing by zero fails, essentially, because you cannot check your answer.
"dsigned001 - O.R.C. hunter" (dsigned001)
09/07/2017 at 01:11, STARS: 0
I seem to remember that you actually can check your answer, kind of. It’s just that you get into infinities, and there are some different rules for messing with that crap. I never got too far into it, they glanced over it in calc ii, and that was it.
But my recollection is that you deal with infinities kind of like you deal with constants when integrating: you can say certain things about them, but not others.
IIRC, infinity + infinity = infinity, but infinity * infinity = infinity^2
I’ll have to look it up and get back to you
"Dr. Zoidberg - RIP Oppo" (thetomselleck)
09/07/2017 at 02:00, STARS: 1
Late to the party, don’t care:
1) -> 5+6-5-x-x+x=0
-> 6-x=0
-> x=6
2) -> 10n-8n-8-4>2
-> 2n-12>2
-> 2n>14
-> n>7
"Distraxi's idea of perfection is a Jagroen" (distraxi)
09/07/2017 at 03:24, STARS: 0
I cannot star this comment enough. It’s right up there with Ernest Rutherford’s “All science is either physics or stamp collecting”.
"Stapleface" (patrickgruden)
09/07/2017 at 06:43, STARS: 0
I’m fairly proficient at math, and this just makes my brain hurt.
Your breakdown makes it fairly easy to figure out though. But just seeing an Algebra equation is making my eyes glaze over.
I’m glad in my world I don’t need a practical application for Algebra.
"Rusty Vandura - www.tinyurl.com/keepoppo" (rustyvandura)
09/07/2017 at 07:44, STARS: 0
My reply may have come across a little terse, as I was thumbing it on an Android phone. I’m a math teacher also, and Ttyymmnn is my brother. I am also a carpenter and a mechanic, a photographer and, though not also a musician, as musical as almost anyone.
As far as I know, dealing with real analysis, the thing about infinity is countability. There exist countably many rational numbers, while there exist uncountably many irrational numbers. That is to say, you can systematically count, or list, positive and negative fractions in such a way that you would eventually list any fraction that someone might name. But you would never list ALL of them. The irrational numbers there is no way to organize nor list. Further, while both are infinite, mathematicians — and I do not consider myself as one — say that the rationals are sparse on the real line, while the irrationals are dense .
And that’s all I know on the subject.
"jariten1781" (jariten1781)
09/07/2017 at 09:09, STARS: 0
Division by zero is undefined. There’s nothing more or less to it. What you’re thinking of, and tons of people confuse it, is taking the limit of a function that approaches a fraction with zero in the denominator. That answer can be infinity or negative infinity (and it can differ by which direction you approach the limit from). The limit concept tells you how a function trends as it approaches the value but it doesn’t tell you what happens at that value since it is undefined. Simplest example is to graph out y=1/x. If you take the limit as x approaches 0 from the left you’ll find increasingly negative numbers (x=-4, -.25 > x=-3, -.3333 > x=-2, -.5 > x=-1, -1 > x=-.5, -2 and so on to negative infinity) and as you approach from the right you get increasingly larger numbers (x=4, .25 < x= 3, .333 < x=2, .5 < x=1, 1 < x=.5, 2 and so on to positive infinity) but at zero you have one side of the function going to negative infinity and one side going to positive infinity and you cannot define the value at exactly that 0 point.
"KusabiSensei - Captain of the Toronto Maple Leafs" (kusabisensei)
09/07/2017 at 09:34, STARS: 0
I think I’ve seen a edition of that (Goldberg Variations, BWV 988, if my memory is correct) which got simplified into 9/8 with a modified tempo. Which is as you said 3*(3/8).
But immediately looking at that, it’s a piece for harpsichord, which would now be played on a multi-manual organ. You’d have to swap hands in places if you wanted to comfortably play it on a piano.
I currently am dealing with a piece for piano and vocals that switches from 4/4 to 5/8 (!) and back multiple times. And just to screw with you, the composer wrote it in B-flat minor.
"ttyymmnn" (ttyymmnn)
09/07/2017 at 11:27, STARS: 0
I found Bach’s original manuscript, and he did write it in 18/16 over 3/4, probably because he could.
Keep those 8th notes constant!
"KusabiSensei - Captain of the Toronto Maple Leafs" (kusabisensei)
09/07/2017 at 11:41, STARS: 1
It’s one of the few pieces I’ve seen where the benefits of multiple manuals are readily apparent.
"Chariotoflove" (chariotoflove)
09/07/2017 at 11:52, STARS: 0
Ask Siri this question. No really, ask her.
!!! UNKNOWN CONTENT TYPE !!!
"ttyymmnn" (ttyymmnn)
09/07/2017 at 12:00, STARS: 1
My kids have been having fun with that for a while. They also like to ask Siri what kind of underwear she is wearing.
"Chariotoflove" (chariotoflove)
09/07/2017 at 12:03, STARS: 0
...or else the universe will explode.
Can confirm.
"C62030" (c62030)
09/07/2017 at 17:01, STARS: 0
So really, the acronym should be PEE (Parentheses, Exponents, Everything else).
"dsigned001 - O.R.C. hunter" (dsigned001)
09/08/2017 at 09:26, STARS: 0
No, because multiplication/division come before addition/subtraction