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Tutors Answer Your Questions about Rational-functions (FREE)
Question 81878: I have tried this problem for rational equations and I am unable to get the "work shown" correct. Please help. Thank you
Original problem: (N - 1) / (N^2 - 4) = 6 / (N + 2)
(n - 1) / (n^2 - 4) = 6 / (n + 2)
denomin: (n^2 - 4), (n + 2)
(n + 2)(n - 2) LCD: (n + 2)(n - 2)
I again need some guidence from here on, I think I get mixed up sometimes with the examples.
multiply each of the two "fractions" by (n+2)(n-2) / (n+2)(n-2) cancelling all that you can first.
CORRECTION:
when I multiply (n+2)(n-2) / (n+2)(n-2), I come up with, 0 (zero),
(n + 2) (n - 2) * (n - 2)(n + 2) cancelling cancels all. I do not think this is correct.
Click here to see answer by scott8148(3382)   |
Question 82377: Find the slope of the line containing the given points:
(z + q,z) and (z - q,z)
note: i know the formula of slope, m, is Y - Y1/X - X1. This is what i was thinking, please let me know where i'm going wrong. i have the solutions manual, but its not making sense. i don't know if x and x1 are both equal to z, or if you have to somehow factor z +/- q,z in both problems to get the solution. the manual has the first step typed out as: z-z/2-q-(z+q), and then of course 0/2q. however, i don't understand how the first step to the solution was solved. thank you. Joanna
Click here to see answer by 303795(562)  |
Question 82432: I am trying to solve this equation:
3/x - 2/(x+1)=4/x
I know I need to get the LCD and that would be x(x+1).
I multiplied x+1 to the Num and dem of 3/x and I multiplied x to the num and dem of 2/(x+1). From there I get lost!
Click here to see answer by scott8148(3382) |
Question 82503: 1. Team A can set up chairs in the gym in 15 minutes and Team B can set up chairs in 20 minutes. How long would it take them, working together to set up the same chairs?
My Work
Team A: 15 min.
Team B: 20 min.
1/15 + 1/20 =1/T
I'm not sure what to do next
Click here to see answer by stanbon(26291) |
Question 82533: Please help me solve this equation:
x -2 -1 0 1 2
y .25 .5 1 2 4
Given the table above, graph the function, identify the graph of the function (line, parabola, hyperbola, or exponential), explain your choice, and give the domain and range as shown in the graph, and also the domain and range of the entire function.
Thank you for your help...
Click here to see answer by ankor@dixie-net.com(6693)  |
Question 82592This question is from textbook 
: The degree 3 polynomial f(x) with real coefficients and leading coeffecient 1, has 4 and 3+i among it's roots. Express f(x) as a product of linear and quadratic polynomials with real coeffecients.This question is from textbook
Click here to see answer by scott8148(3382) |
Question 82593This question is from textbook
: A bacteria culture started with a count of 480 at 8:00 A.M. and after t hours is expected to grow to f(t)=480{3/2}^t. estimate the number of bacteria in the culture at noon the same day?This question is from textbook
Click here to see answer by ankor@dixie-net.com(6693) |
Question 82607: How do you perform these proofs? i know that for each x in the domain of f,
f(x)= f -(x) is an even function
odd functions are f(-x) = -f(x)
i don't understand how to right proofs, although i can solve and find out if a graph is odd or even. these are the questions i had trouble with and couldn't find out how to do it, i'll just type the even questions as they are not in the solution manual:
STATE WHETHER EACH OF THE FOLLOWING IS TRUE OF FALSE:
140) the product of two odd functions is odd
142) the product of an even function and an odd function is odd
actually, i can work out the other one, but the odd one is in the manual, it shows steps, but no explanation:
143) the sum of two even functions is even.
so this question isn't asked, but what about the sum of an even and an odd function?
if this is too many questions, i understand if you can't answer them all, but if you could explain the main concept and maybe take two examples to show me how its down i'd appreciate it. i learn very well once i understand.
thanks, joanna
Click here to see answer by stanbon(26291) |
Question 82535: Please help me with the following equation and graph.
For the equation x-√x=0 , perform the following:
a) Solve for all values of x that satisfies the equation.
b) Graph the functions y=x and y=√x on the same graph (by plotting points if necessary). Show the points of intersection of these two graphs.
c) How does the graph relate to part a?
thanks so much for your help...
Click here to see answer by Nate(3495) |
Question 82614: re-writing my previous question, format didn't come out the way it was supposed to look like:
a) show that if f is any function, then the function E defined by:
E(x)= [(f(x)+f(-x))/2]is even
b) show that if f is any function, then the function O defined by
O(x)= [(f(x)-f(-x))/2] is odd
i hope the parenthetical notation is correct. basically, the functions E(x) and O(x) have f(x)adding or subtracting f(-x) and the sum or difference is then divided by 2.
thanks, sorry about the confusion, the first time i posted i tried to get fancy with the formatting, it didn't work i hope this one makes sense
Click here to see answer by kev82(145) |
Question 82639This question is from textbook
: The decibel level of sound is given by D=10 log{I/10^-12}, where I is the sound intensity measuered in watts per square meter. Find the decibel level of a whisper at an intensity of 5.4x10^-10 watts per square meter.This question is from textbook
Click here to see answer by josmiceli(3012) |
Question 82638This question is from textbook
: The amount A in an account after t years of an initial principle P invested at an annual rate r compounded continuosly is given by A=Pe^rt where r is expressed as a decimal. Solve this formula for t in terms of A,P and r.This question is from textbook
Click here to see answer by ankor@dixie-net.com(6693) |
Question 82645: Do functions have to be even or odd, necessarily? i have this question here for a take home quiz, and thanks everyone in advance for all of your help. i think its wonderful you volunteer your time. maybe some of the students will grow up to study math because they'll find out how fun it really is! :-)
1) the function f(x)= x - |x| is:
a) an odd function
b) an even function
c) neither
when i work out the problem i can't make it look even or odd, so is it neither? i thought the function HAS to be either even or odd? can someone tell me the answer and clarify this, or let me know if i got it right? thanks!
Also, another question i answered, but not confident i got correct is: the domain for the funcion [f/g](x) with f(x)= x-3 and g(x) = (square root of (x+4)) is:
a) is [-4, infinity)
b) is [4, infinity)
c) none of the above
is this correct: g(x) is equal to all real numbers except for (-4) and f(x) is equal to all real numbers except for (3). so i guess this is all of the above, but how would you right this answer in the correct notation? and if i'm wrong, please explain what the right answer is. thank you again for your help, its really appreciated, i'm making a donation to your site when i get home from work tonight, i'm really impressed with the quality of the tutors here, i didn't think someone who was really good would answer the questions for free, but i was wrong. math people are great people!!! :-)
Click here to see answer by kev82(145) |
Question 82674This question is from textbook
: The amount A in an account after t years of an initial principle P invested at an annual rate r compounded continously is given by A=Pe^rt where r is expressed as a decimal. Solve this formula for t in terms of A,P and r.
This question is from textbook
Click here to see answer by scott8148(3382) |
Question 82885This question is from textbook Algebra 2
: An object weighing w(subscript 0) kilograms on Earth and is h kilometers above the sruface of the Earth. Then the function for the object's weight at that altitude is  . I cannot figure out how to use a table to find w for the h-values of 10, 20, and 100. Please assist me. Thanks, AnnaThis question is from textbook Algebra 2
Click here to see answer by stanbon(26291) |
Question 82955: An open-top box is to be constucted from a 6 foot by 8 foot rectangular cardboard by cutting out equal squares at each corner and folding up the flaps. Let x denote the legnth of each side of the square to be cut out.
a) find the function V that represents the volume of the box in terms of x
b)Graph this function and show the graph over the valid range of the variable x...
c)Using the graph, what is the value of x that will produce maximum volume?
Please help with this problem I haven't quite grasped this concept and need some extra explanation. Thank you
Click here to see answer by jim_thompson5910(13794) |
Question 83096This question is from textbook
: Find the inverse of the function f(x) = x1/3 + 2.
a. (x - 2)3
b. x1/3 + 2
c. (y - 2)3
d. Doesn’t exist
this should be easy but I'm struggling with it.
This question is from textbook
Click here to see answer by chitra(359) |
Question 83095This question is from textbook
: If f(x) = x(x + 1)(x – 4), use interval notation to give all
values of x where f(x) > 0
The choices are:
a. (–1, 4)
b. (–1, 0) ∪ (4, ∞)
c. (–1, 4)
d. (0, 1) ∪ (4, ∞)This question is from textbook
Click here to see answer by chitra(359) |
Question 82505: While the radical symbol is widely used, converting to rational exponents has advantages. Explain an advantage of rational exponents over the radical sign. Include in your answer an example of an equation easier to solve as a rational exponent rather then a radical sign.
Click here to see answer by jim_thompson5910(13794) |
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Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690
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