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#251 Help Me ! » Find Two Numbers » 2023-10-09 17:33:36
- sologuitar
- Replies: 4
Two numbers add to 72. One number is twice the other. Find the numbers.
Let me see.
Let x and y be the two numbers.
x + y = 72.
One number is TWICE the other can be expressed like this:
x = 2y or y = 2x.
I will use x = 2y.
I think the correct system of equations is the following:
x + y = 72
x = 2y
Correct?
#252 Dark Discussions at Cafe Infinity » Four Questions For Group Members » 2023-10-09 17:15:49
- sologuitar
- Replies: 2
Four Questions
1. What is your math background?
2. What is your favorite math course and why?
3. Do you like math more than physics or vice-versa?
4. What is your favorite type of math word problem and why?
#253 Re: Dark Discussions at Cafe Infinity » Students Fear Word Problems » 2023-10-09 17:14:39
True but you can get quicker with practice.
B
If you say so. I say some people just never fully understand how to quickly solve word problems regardless of practice time.
Four Questions
1. What is your math background?
2. What is your favorite math course and why?
3. Do you like math more than physics or vice-versa?
4. What is your favorite type of math word problem and why?
#254 Re: Dark Discussions at Cafe Infinity » Students Fear Word Problems » 2023-10-08 18:11:31
It might be that. I find maths as a langauge easy and unambiguous. 'Ordinary' English can be confusing and have more than one meaning. Generally, if I meet a wordy problem, I 'convert it' into symbols, algebra maybe, or a diagram, and then I find I can better understand what's involved.
Bob
Often there is very limited time for students to create an equation, table, venn diagram, etc to help them solve word problems on a timed test.
#255 Dark Discussions at Cafe Infinity » Students Fear Word Problems » 2023-10-08 00:41:50
- sologuitar
- Replies: 4
In your opinion, why do most students fear and struggle with word problems?
Can it be a reading comprehension problem?
#256 Dark Discussions at Cafe Infinity » Substitute Teacher Certification » 2023-10-07 19:49:27
- sologuitar
- Replies: 0
Should substitute teachers be certified?
#257 Re: Dark Discussions at Cafe Infinity » Twinkling of An Eye » 2023-10-07 04:34:35
harpazo1965 wrote:There is a difference between a blink, a twink and a wink.
My question is:
Mathematically speaking, how fast is the twinkling of an eye?
a 'moment' means about 90 secs
how are you defining 'twinkling of an eye'?
some preachers say its a blink
other s say its the time for light to pass thru the lens, reflect off the back and bounce back out
either way its loads shorter than a moment
I define TWINKLING OF AN EYE as a faster time than wink or blink.
Of course, this is a supernatural event that can only be done by a supernatural
being, which of course is God. God can do anything. Cremated or buried, there will be two future resurrections of the dead. This is clearly stated in Scripture. Now, back to mathematics.
#258 Re: Help Me ! » Is (x - c) a Factor? » 2023-10-07 04:29:59
harpazo1965 wrote:3x^4 + x^3 - 3x + 1; x + (1/3)
amnkb wrote:synthetic division: -1/3 | 3 1 0 -3 1 | -1 0 0 1 +-------------- 3 0 0 -3 2harpazo1965 wrote:Nicely-done on the long division. Can this be done using synthetic division?
yes
synthetic division: -1/3 | 3 1 0 -3 1 | -1 0 0 1 +-------------- 3 0 0 -3 2
Thanks. I did it via synthetic division. I will post one or two problems later.
#259 Dark Discussions at Cafe Infinity » Twinkling of An Eye » 2023-10-06 09:18:47
- sologuitar
- Replies: 6
There is a difference between a blink, a twink and a wink.
In 1st Corinthians 15:52, the apostle Paul used the words
"twinkling of an eye" referring to the transformation of believers from our current mortal state to immortality.
1st Corinthians 15:52
". . .in a moment, in the twinkling of an eye, at the last trumpet. For the trumpet will sound, and the dead will be raised incorruptible, and we shall be changed."
My question is:
Mathematically speaking, how fast is the twinkling of an eye?
#260 Re: Maths Is Fun - Suggestions and Comments » Upgrade Picture Uploads » 2023-10-06 09:04:20
This server doesn't have that option. Sorry. I have no say over that. Maybe it's a memory available thing.
Some time ago I tried using my phone (android) to do this but I'll have to revise how I did it.
Time is limited. If only someone didn't keep showering me with questions
Bob
1. I am not showering you SPECIFICALLY with tons of questions.
2. My questions and comments are for anyone who would like to reply.
3. I will not go beyond 3 questions per week.
4. This site could use more tutors.
5. I love mathematics. Wish I had more time to dedicate to the subject.
#261 Re: Help Me ! » Is (x - c) a Factor? » 2023-10-06 06:15:06
harpazo1965 wrote:I like Henry Winkler. By the way, Henry was a lousy pupil according to him.
he has dyslexia which i guess nobody knew about when he was a kid
harpazo1965 wrote:3x^4 + x^3 - 3x + 1; x + (1/3)
synthetic division: -1/3 | 3 1 0 -3 1 | -1 0 0 1 +-------------- 3 0 0 -3 2long division: 3x^3 -3 +---------------------------- x + 1/3 ) 3x^4 + 1x^3 + 0x^2 - 3x + 1 3x^4 + 1x^3 ---------------------------- -3x + 1 -3x - 1 -------- 2
Synthetic Division
Drop down 3.
Change 1/3 to -1/3.
(-1/3)(3) = -1
(-1/3)(0) = 0
(-1/3)(0) = 0
(-1/3)(-3) = 1
1 + 1 = 2
R = remainder = 2
Since the remainder is not 0, x + (1/3) is not a factor of the given polynomial.
#262 Re: Help Me ! » Is (x - c) a Factor? » 2023-10-06 05:18:49
harpazo1965 wrote:I like Henry Winkler. By the way, Henry was a lousy pupil according to him.
he has dyslexia which i guess nobody knew about when he was a kid
harpazo1965 wrote:3x^4 + x^3 - 3x + 1; x + (1/3)
synthetic division: -1/3 | 3 1 0 -3 1 | -1 0 0 1 +-------------- 3 0 0 -3 2long division: 3x^3 -3 +---------------------------- x + 1/3 ) 3x^4 + 1x^3 + 0x^2 - 3x + 1 3x^4 + 1x^3 ---------------------------- -3x + 1 -3x - 1 -------- 2
Nicely-done on the long division. Can this be done using synthetic division?
#263 Re: Help Me ! » Find the Sum » 2023-10-06 05:17:24
thats what i get
Looks good. Like Richie Cunningham played by Ron Roward on Happy Days is known for saying: I'M COOKING WITH GAS.
#264 Re: Dark Discussions at Cafe Infinity » My Life As A NYC Security Guard » 2023-10-06 05:15:27
I remember a question posed in one of my classes as an undergraduate:
Young people and old people face many of the same problems, often to do with discrimination. Why do old people fight it harder?
The answer: You can grow out of being young; you can't grow out of being old.
Best wishes on the job search and, if you glean any advice that you think might help fellow seniors, please share!
Thank you. I will keep you posted. Three resumes have been sent already to 3 new companies in the last 2 days. I haven't heard from anyone. Of course, it takes time. I am not the only person applying.
#265 Re: Dark Discussions at Cafe Infinity » My Life As A NYC Security Guard » 2023-10-05 06:02:37
Best of luck with the job search. It does seem the best way forward.
B
Thank you, Bob. Of course, I will not quit my job before finding another. I am making preparations for a better place to work even if it means less money. I will send more resumes today and keep you posted. Please, pray for me.
#266 Re: Help Me ! » LCM of Polynomials...2 » 2023-10-05 05:57:36
That's it! I would write like this: x^2(x+2)^3
Bob
Very good. I will practice more of these LCM problems. I think they are very important.
#267 Re: Help Me ! » LCM of Polynomials...1 » 2023-10-05 05:55:58
Using your grey matter keeps it going. It's like exercise for muscles and a working cardio vascular system but in this case it helps to prevent dementia.
58 seems quite young to me. I passed that long ago.
Bob
Yes, you are right. Solving math problems and puzzles keeps the brain functioning. Bob, people just hate to see others doing something they enjoy. I don't see how solving math problems hurts anyone. So, what is my goal? My goal is to continue a self-study of mathematics beyond college algebra.
Courses to study after college algebra:
•Precalculus
•Calculus l
•Calculus ll
•Calculus lll
•Linear Algebra
I then want to do a thorough review of high school geometry including direct amd indirect proofs. A deep review of trigonometry is so in my plans.
#268 Re: Help Me ! » Electrical Circuits Equation » 2023-10-05 05:46:28
You'll have to do the algebra for three resistors first. I leave that as an exercise.
Bob
Copy. Will do. Thanks again for your help.
#269 Re: Help Me ! » Is (x - c) a Factor? » 2023-10-05 05:45:19
May I remind you about overloading the forum with many posts in one go. You are risking an important post being missed entirely in the muddle.
I'm not a great fan of Happy Days, but I read this quote by him and liked it.
I put both terms over a common denominator. x + 1/3 = 3x/3 + 1/3 = (3x+1)/3
Use the division trick.
Bob
Thank you, Bob. I will not post more than 3 questions per week moving forward.
#270 Re: Help Me ! » LCM of Polynomials...2 » 2023-10-05 04:00:38
You've got too many (x+2).
What about removing one (x + 2)?
(x + 2)(x^2)(x + 2)^2.
#271 Re: Help Me ! » LCM of Polynomials...1 » 2023-10-05 03:58:21
tick
Perfect. You know Bob, math helps me to forget about life for a little bit. I am heavily criticized by friends and family for solving math problems. The main question is this one: WHAT'S THE POINT AT 58?
#272 Re: Dark Discussions at Cafe Infinity » My Life As A NYC Security Guard » 2023-10-05 03:54:14
who is the superior to the chief engineer?
1. The engineer is just a title given to a man who has a huge spelling problem. This guy does not know how to spell engineer. He is not certified as an engineer.
2. The person above the chief engineer (I will call him Mr. x) is the property manager Camacho who allows his right hand man to abuse security.
3. In the last two years, over 50 guards and FSD personage left the job site. It is that bad.
4. Mr. x is a Muslim. Need I say more? Religion of love, huh? That's a joke in poor taste.
5. Two of the best coworkers I ever had left the site on Monday after Mr. x yelled at them in the lobby for no reason at all.
6. My account manager cannot stabilize the site because of Mr. x. The site has a huge turn over rate because of Mr. x. It's a never-ending story of verbal abuse and lies to make security look bad.
7. I started searching for a new security job yesterday. I applied with 2 companies yesterday one for which I worked for in the past.
8. I am 58 years old. Age discrimination is alive and well. It's hard for people over 50 to land a job. I have no idea what my future holds.
It's scary, Bob.
You say?
#273 Re: Help Me ! » Is (x - c) a Factor? » 2023-10-04 10:33:33
You might find it easier to change the divisor from x + 1/3 to (3x + 1)/3 It is enough to test if 3x + 1 is a factor.
Bob
1. I noticed that you are Happy Days fan. I like Henry Winkler. By the way, Henry was a lousy pupil according to him.
2. How did you get from x + (1/3) to (3x + 1)/3?
3. How do I test if (3x + 1) is a factor of the polynomial?
#274 Re: Help Me ! » Electrical Circuits Equation » 2023-10-04 10:28:06
I'll show you the two resistor version. All you need to do is extend it to three.
Bob
Perfect. All I have to do now is evaluate. Thanks again. Bob, I am still in the review section of the textbook. Questions are going to get increasingly harder as we press forward. I really wish I could post images but my android phone A21 does not allow me to do so.
#275 Re: Help Me ! » LCM of Polynomials...2 » 2023-10-04 10:25:07
Hopefully you have done the earlier one by now so you have a good idea what to do.
(1) factorise all the expressions.
(2) build a new expression by including all the factors but leaving out repeats of common factors.Post an attempt and I'll check it.
Bob
Let me see.
x^2 + 4x + 4, x^3 + 2x^2, (x + 2)^3
Factoring x^2 + 4x + 4, I get (x + 2)(x + 2).
Factoring x^3 + 2x^2, I get x^2(x + 2).
(x + 2)^3 = (x + 2)(x + 2)(x + 2).
From the first group, I take one (x + 2).
From the second group, I take x^2 and (x + 2).
From the third group, I take two (x + 2)(x + 2) because there are 3 of the same.
We put it all together.
My answer is (x + 2)(x^2)(x + 2)(x + 2)^2.
You say?