• ### Midline of a sinusoidal function?

Take the average of the y values. Ok but when the y values include negatives, for example: 2.5 and -4.5. I JUST take out the minus from 4.5 and, add the two, divide by 2 and we have the midline. I cannot comprehend that we have to keep the minus. The logic behind that why. Thankyou all.
Take the average of the y values. Ok but when the y values include negatives, for example: 2.5 and -4.5. I JUST take out the minus from 4.5 and, add the two, divide by 2 and we have the midline. I cannot comprehend that we have to keep the minus. The logic behind that why. Thankyou all.
1 answer · Mathematics · 8 months ago
• ### Function transformation. Please explain thankyou?

Shouldn't it be vertical stretch? I can never get it right; very confusing. Please explain how to discern one from the other in diagrams. Here in the diagram, vertical compression does not make sense to me.
Shouldn't it be vertical stretch? I can never get it right; very confusing. Please explain how to discern one from the other in diagrams. Here in the diagram, vertical compression does not make sense to me.
3 answers · Mathematics · 8 months ago
• ### Shifting functions. Best explanation please?

I haven't had this one quite pat down yet; always tripping up... Question: I don't understand why it is minus when shifting to the right and plus to the left. What are the best explanations to understand this? I want to see all.
I haven't had this one quite pat down yet; always tripping up... Question: I don't understand why it is minus when shifting to the right and plus to the left. What are the best explanations to understand this? I want to see all.
2 answers · Mathematics · 8 months ago
• ### Is this thing working?

Diet & Fitness · 8 months ago
• ### Grammar english?

Portray should be singular and portrays a plural. But how and why is portray a plural?
Portray should be singular and portrays a plural. But how and why is portray a plural?
5 answers · Words & Wordplay · 10 months ago
• ### Linear algebra math?

How did S(P+10)=(1/2)P +45 show that S(P+10)=S(P)+5.
How did S(P+10)=(1/2)P +45 show that S(P+10)=S(P)+5.
2 answers · Mathematics · 11 months ago
• ### Domain and rrange math?

(x-1)(3-x) is greater than or equal to 0 => (x-1)(x-3) is smaller than or equal to 0 What happened with (x-3) and the greater than or equal tto symbol?!?!?
(x-1)(3-x) is greater than or equal to 0 => (x-1)(x-3) is smaller than or equal to 0 What happened with (x-3) and the greater than or equal tto symbol?!?!?
3 answers · Homework Help · 11 months ago
• ### Relations and functions maths?

"for any other natural number, say 8, we will not get y belongs to N." What does this mean? How did we know that, since numbers are infinite and there could be a number out there that when substituted for x gives y belongs to N.
"for any other natural number, say 8, we will not get y belongs to N." What does this mean? How did we know that, since numbers are infinite and there could be a number out there that when substituted for x gives y belongs to N.
2 answers · Mathematics · 11 months ago
• ### Relations and functions mathematics?

What does "it is also observed that for any other integral value of x,y is not an integer" in the texts mean? Please expound with examples.
What does "it is also observed that for any other integral value of x,y is not an integer" in the texts mean? Please expound with examples.
3 answers · Mathematics · 11 months ago
• ### Relations and functions maths?

What does the "codomain of R is the set B"? I took the solved examples from previous subtopics for A and B non-empty sets, but it doesn't prove what the statement is saying. Plz provide the explanation. Thankyou
What does the "codomain of R is the set B"? I took the solved examples from previous subtopics for A and B non-empty sets, but it doesn't prove what the statement is saying. Plz provide the explanation. Thankyou
1 answer · Mathematics · 11 months ago
• ### Mathematics in college question?

How do colleges or top colleges cover math courses in their classez? Say for calculus? Do they do every bit of theories and concepts, every nook and crannies, along with every problem the book has. Or just main concepts and some problems to go with it? I'm trying to finish a book before college starts and it seems not wise.(2 months) The books... show more
How do colleges or top colleges cover math courses in their classez? Say for calculus? Do they do every bit of theories and concepts, every nook and crannies, along with every problem the book has. Or just main concepts and some problems to go with it? I'm trying to finish a book before college starts and it seems not wise.(2 months) The books are thick and i'm taking 10 days just to finish the first chapter of sets with every problems, or solved examples, misceallaeneous exercises etc etc.
3 answers · Higher Education (University +) · 11 months ago
• ### Set question?

I have five laws here; commutative laws, associative laws, distributive laws, de-morgan's laws, idempotent laws. All under a tirle algebra of sets. Am i supposed to memorize all these? How am i supposed to solve questions based on these things??!?
I have five laws here; commutative laws, associative laws, distributive laws, de-morgan's laws, idempotent laws. All under a tirle algebra of sets. Am i supposed to memorize all these? How am i supposed to solve questions based on these things??!?
3 answers · Mathematics · 11 months ago
• ### Set question grade it right or wrong explain?

Find the union and intersection of the following sets: A={x|x=2^n, n€N,n smaller than or equal to 8}, B={x|x=2^(n-1), n€N,n lesser than or equal to 6} My answer: Union: {,1,2,4,8,16,32,64,128,256} Intersection: {2,4,8,16,32}. Book answer is same for union but intersection: {2,4,6,8,...,32} I don't see how it got the 6.
Find the union and intersection of the following sets: A={x|x=2^n, n€N,n smaller than or equal to 8}, B={x|x=2^(n-1), n€N,n lesser than or equal to 6} My answer: Union: {,1,2,4,8,16,32,64,128,256} Intersection: {2,4,8,16,32}. Book answer is same for union but intersection: {2,4,6,8,...,32} I don't see how it got the 6.
2 answers · Mathematics · 12 months ago
• ### Set question with reason?

Lwt X={1,2,{3,4},5}, which of the following statements are true and which are false and why? (i) {3,4} is a proper set of X (ii) {3} belongs to X (iii) {3,4} does not belong to X. (iv) {3,4} is a proper set of X (v) {2,3,4} is a proper set of X (vi) {2,{3,4}} is a proper set of X
Lwt X={1,2,{3,4},5}, which of the following statements are true and which are false and why? (i) {3,4} is a proper set of X (ii) {3} belongs to X (iii) {3,4} does not belong to X. (iv) {3,4} is a proper set of X (v) {2,3,4} is a proper set of X (vi) {2,{3,4}} is a proper set of X
2 answers · Mathematics · 12 months ago
• ### Set theory satisfying proof?

Peove that A is a proper set of phie implies A=phie.
Peove that A is a proper set of phie implies A=phie.
3 answers · Mathematics · 12 months ago
• ### List all the elements in the set explanation math?

ii) B= {x | 10 lesser than or equal to x^2<50, x belongs to Z. The answer is like {4,-4,5,-5...} in the book. Obviously there is something i don't understand. Maybe it has to do with what Z represents? I don't know what Z represents here. Plz explain the answer fully.
ii) B= {x | 10 lesser than or equal to x^2<50, x belongs to Z. The answer is like {4,-4,5,-5...} in the book. Obviously there is something i don't understand. Maybe it has to do with what Z represents? I don't know what Z represents here. Plz explain the answer fully.
1 answer · Mathematics · 12 months ago
• ### Difference between two forms of odd numbers?

2n-1 and 2n+1. What is the difference between these two forms of representation?
2n-1 and 2n+1. What is the difference between these two forms of representation?
6 answers · Mathematics · 12 months ago
• ### Set question math?

List all the elements of the following set (v) E={x | x € N and 4x-3 smaller than or equal to 15}.The answer in the book is 1,2,3,4. I don't understand. Thankyou all
List all the elements of the following set (v) E={x | x € N and 4x-3 smaller than or equal to 15}.The answer in the book is 1,2,3,4. I don't understand. Thankyou all
2 answers · Mathematics · 12 months ago
• ### Set question math?

Describe the following in roster form: (i) A={x | x^2-5x+6=0,x belongs to N} My answer: A=3, because x belongs to a natural number. That's wrong. Answer is actually: {2,3}. What is missing?
Describe the following in roster form: (i) A={x | x^2-5x+6=0,x belongs to N} My answer: A=3, because x belongs to a natural number. That's wrong. Answer is actually: {2,3}. What is missing?
3 answers · Mathematics · 12 months ago
{"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0, "url": "https://uk.answers.yahoo.com/activity/questions?show=H6E4IA6FMIPI4OIR5WUEVO3HVM&t=g", "fetch_time": 1544497393000000000, "content_mime_type": "text/html", "warc_filename": "crawl-data/CC-MAIN-2018-51/segments/1544376823550.42/warc/CC-MAIN-20181211015030-20181211040530-00504.warc.gz", "warc_record_offset": 770319803, "warc_record_length": 23311, "token_count": 2416, "char_count": 8773, "score": 3.5625, "int_score": 4, "crawl": "CC-MAIN-2018-51", "snapshot_type": "longest", "language": "en", "language_score": 0.9221590757369995, "file_path": "/sailhome/yjruan/project/latent-lm/data/processed/finemath-4plus/finemath-4plus/train-00018-of-00064.parquet"}