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Tutors Answer Your Questions about Rational-functions (FREE)
Question 183282: My teacher wants ten examples of where/how rational functions are used in real life but I'm not having any luck searching the web and don't know much about them yet. Do you have any examples or know where i should lood?
Click here to see answer by stanbon(26297)   |
Question 183453: One machine in a print shop can produce a certain number of pages twice as fast as another machine.Operating together, these machines can produce this number of pages in 8 minutes. How long would it take each machine, working alone, to produce this number of pages?
Click here to see answer by josmiceli(3013) |
Question 183953This question is from textbook Glencoe McGraw-Hill: Algebra 2
: Hi, I hope I am submitting this problem under the right section, the chapter I'm currently studying has asymptotes so..
Haha, I've tried this problem so many ways! I feel that the mistake is right under my nose, but I still can't seem to find it. the dashes are fractions.
4/z-2 - z+6/z+1 = 1
I go to a private school, but I am currently being homeschooled for a couple weeks. My teacher wanted us to solve this problem by clearing the fractions.
Here's my most "unjumbled" work:
*original problem*
LCD: (z-2)(z+1)
(z-2)(z+1)/ 1 times 4/(z-2) minus (z-2)(z+1)/1 times (z+6)/(z+1) = (z-2)(z+1)/1 times 1.
4z+4-(z-2)(z+6)=(z-2)(z+1)
4z+4-z^2+6z-2z-12= z^2+z-2z-2
4z+4-z^2+4z-12 = z^2-z-2
-z^2+8z-8 = z^2-z-2
eliminate -z^2+8z-8 on the left side, do the same to the right side like...
0 = z^2-z-2
+z^2-8z-8
_______________ equals
0 = 2z^2-9z-10
not factorable, so I used quadratic formula
a=2, b=-9, c=-10
quadratic formula: [-b (+ or -) sq. root of: b^2 - 4ac] divided by 2a
=[9 (+ or -) sq. root of: (-9)^2 - 4(2)(-10)] all divided by 4.
= [ 9 (+ or -) sq. root of: 161] all divided by 4.
my textbook says that the correct answer should be:
[ 1 (+ or -) sq. root of: 145] all divided by 4.
Mmm.. hopefully this is readable. Please help, it's driving me bonkers! Thanks!
This question is from textbook Glencoe McGraw-Hill: Algebra 2
Click here to see answer by edjones(3298)  |
Question 184918: Find the equations for the horizontal and vertical asymptotes of the following. The answers are the equations of lines, so writing simple values will not suffice.
f(x)=(2x-1)/(x^2+2)
Horizontal:
Vertical:
g(x)=5x/(x-1)
Horizontal:
Vertical:
Click here to see answer by stanbon(26297) |
Question 185346: This question is on Rational Expressions, and solving them using the Algebraic method to find the vertical asymptote.
g(x)=(x^2+x+1)/(5x^2+1) I can't figure out where to start...
Also simplifying (3a^2-6a)/(12-6a) What the heck is this? And where do I start and finish this crazy problem???
Click here to see answer by vleith(1977) |
Question 185346: This question is on Rational Expressions, and solving them using the Algebraic method to find the vertical asymptote.
g(x)=(x^2+x+1)/(5x^2+1) I can't figure out where to start...
Also simplifying (3a^2-6a)/(12-6a) What the heck is this? And where do I start and finish this crazy problem???
Click here to see answer by jim_thompson5910(13794) |
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