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Tutors Answer Your Questions about real-numbers (FREE)
Question 235390: trains a and b are traveling in the same direction on parallel tracks. train a is traveling at 80 miles per hour and train b is traveling at 100 miles per hour. train a passes a station at 3:10 pm. If train B passes the same station at 3:22 pm at what time will train b catch up to a.
Click here to see answer by Alan3354(5863)   |
Question 235115: I understand that the irrationals are not closed under addition, mult, div, subtr, etc. However,
Is it possible to construct a line segment on a cartesian coordinate system such that all points on the line have irrational values for the y coordinate when x is rational (i'm using the relationship y = mx + b)? It's okay if there are restrictions, like, the segment length must be transcendental or something.
I'm looking for non-zero-length line-segments that avoid all points with rational coordinate pairs.
I also don't expect this to be true for ALL line segments with, say, irrational coordinates for the endpoints. I'm just interested in constructing a line segment of non-zero length that has only irrational values for y when x is rational. If x is irrational i won't care about y - as long as x and y are never rational together.
I don't know how constraints are explored in mathematics, nor how one looks for solutions to a problem like this, nor how one goes about testing for the existence of such a construction, let alone constructing one. if this problem is in a well-known class of problems i can research that myself if somebody can help me identify the class.
Click here to see answer by jim_thompson5910(13679)  |
Question 222567: between them, terry and shelly have 50 cassettes. if shelly has more than two thirds as many cassettes as terry, at least how many cassettes does shelly have? at most how much does terry have
Click here to see answer by drj(1380)  |
Question 221923: Hi. I'm home sick today. I'm trying to keep up with my algebra homework. My mom and I have both tried solving one of the problems, and we need help. WE've read the example over and over! The problem is:
-46 decreased by the difference between -23 and -61
The answer is -84. (looked it up in the back of the book) BUT we don't understand why?
We tried the following:
-46-(-23-61) but using the distributive property, seems like it would simplify to: -46+23+61 but that gives the wrong answer.
Can you please help us?? Thanks in advance!
Click here to see answer by likaaka(51) |
Question 221923: Hi. I'm home sick today. I'm trying to keep up with my algebra homework. My mom and I have both tried solving one of the problems, and we need help. WE've read the example over and over! The problem is:
-46 decreased by the difference between -23 and -61
The answer is -84. (looked it up in the back of the book) BUT we don't understand why?
We tried the following:
-46-(-23-61) but using the distributive property, seems like it would simplify to: -46+23+61 but that gives the wrong answer.
Can you please help us?? Thanks in advance!
Click here to see answer by jim_thompson5910(13679) |
Question 221923: Hi. I'm home sick today. I'm trying to keep up with my algebra homework. My mom and I have both tried solving one of the problems, and we need help. WE've read the example over and over! The problem is:
-46 decreased by the difference between -23 and -61
The answer is -84. (looked it up in the back of the book) BUT we don't understand why?
We tried the following:
-46-(-23-61) but using the distributive property, seems like it would simplify to: -46+23+61 but that gives the wrong answer.
Can you please help us?? Thanks in advance!
Click here to see answer by Alan3354(5863) |
Question 221551: Hi agian, I have asked this question on a number of occasions but have so far only received a small amount of help. Can someone please show me how to simplify the following? I need to give answers in the form a+bi ( a, b are real numbers)
a) i^15
b) (2-i) / (5+i)
Thanks, -Nick.
Click here to see answer by Alan3354(5863) |
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