Questions on Algebra: Rational Functions, analyzing and graphing answered by real tutors!

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Tutors Answer Your Questions about Rational-functions (FREE)


Question 71752: [(y-2)/(y+3)]-[(y/2y+6)]
Click here to see answer by funmath(2873) About Me 

Question 71861:
Find the verticle asymptote of the rational 
function  
Possible answers: 
y = 1/2
y = 3/4
y = 2
y = 4 
Thank you. Exactly what is a asymptote? Can anyone 
explain the simplest way to solve this problem?

Click here to see answer by Edwin McCravy(2922) About Me 

Question 71897This question is from textbook Introductory and intermediate algebra
: solve
x + (3/x)=19x
This question is from textbook Introductory and intermediate algebra

Click here to see answer by psbhowmick(456) About Me 

Question 71896This question is from textbook Introductory and intermediate algebra
: Add
7+ [1/(x-5)]
This question is from textbook Introductory and intermediate algebra

Click here to see answer by rcmcc(152) About Me 

Question 71894This question is from textbook Introductory and intermediate algebra
: divide
4/(x-6)by 40/(7x-42)
This question is from textbook Introductory and intermediate algebra

Click here to see answer by Earlsdon(4900) About Me 

Question 71912This question is from textbook
: Can u help with variation?
A concrete supplier sells premixed concrete in 300-ft^3 truckloads. The area (A) that the concrete will cover is inversely proportional to the depth (d) of the concrete.
a. Write a model for the relationship between the area and the depth of a truckload of poured concrete.
b. What area will the concrete cover if it is poured to a depth of .5 feet? A depth of 1 ft? A depth of 1.5 ft?
c. When the concrete is poured into a circular area, the depth of the concrete is inversely proportional to the square of the radius (r). Write a model for this relationship.
Thank you so much!!!
This question is from textbook

Click here to see answer by stanbon(26297) About Me 

Question 71910: Can u help with variation?
Describe the combined variation that is modeled by each formula.
V = Bh÷3
V = (r^2)h
h = V÷(r^2)
------------
Write the funtion that models each variation. Find z when x = 4 and y = 9.
z varies directly with x and inversely with y. When x = 6 and y = 2, z = 15.
z varies jointly with x and y. When x = 2 and y = 3, z = 60
z varies directly with the square of x and inversely with y. When x = 2 and y = 4, z = 3.

Click here to see answer by stanbon(26297) About Me 

Question 72056:
Click here to see answer by Edwin McCravy(2922) About Me 

Question 72093: Find the quotient and remainder of f(x) = x3 -4x2 +5x +5 divided by p(x) = x-1
please show me how you did this. Thank you

Click here to see answer by rmromero(383) About Me 

Question 72147: (x+y)^-1/(x-y)^-1
Click here to see answer by elima(1433) About Me 

Question 72167: This topic is the closest topic I could find to the problem I am working on right now. It has to rewritten using only positive exponents and it has to be simplified.




This is my answer, but I'm not sure if I got it right.


Click here to see answer by stanbon(26297) About Me 

Question 72092: Find the verticle asymptote of the rational function f(x) = 3x-12/4x-2
possible answers:
x=1/2
x=3/4
x=2
x=4
please show me an easy way to understand this

Click here to see answer by rmromero(383) About Me 

Question 72307This question is from textbook
: Can you please help?
Find the horizontal asymptote of the graph of each rational funtion.
1) y = (5)/(x+6)
2) y = (x+2)/(2x^(2)-4)
3) y = (x+1)/(x+5)
thanks
This question is from textbook

Click here to see answer by checkley75(3666) About Me 

Question 72410: Find the quotient and remainder of f(x) = x4 -2 divided by p(x) = x-1
Possible answers:
x3 + x2 +1; -1
x3 + x2 + x +1; -1
x3 + x + 1; -1
x3 - x2 - x - 1; -1

Click here to see answer by pradhyumna.kumar@gmail.com(62) About Me 

Question 72359: Multiplying Rational Expressions:
Multiply and simplify.
*

Click here to see answer by Cintchr(475) About Me 

Question 72427: Dividing Rational Expressions:
I would like help on how to divide rational expressions.
Divide and Simplify.
/

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Question 72429: Adding and Subtracting Radical Expressions:
Perform the operation and Simplify.
+

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Question 72429: Adding and Subtracting Radical Expressions:
Perform the operation and Simplify.
+

Click here to see answer by bucky(1732) About Me 

Question 72401: The electrical resistance R of a wire varies as its length L and inversely as the square of its diameter. A wire 20 meters long and 0.6 centimeters in diameter made from a certain alloy has a resistance of 36 ohms. What is the resistance of a piece of wire 60 meters long and 1.2 centimeters in diameter from the same material?
Please show me how you came across the solution.Thanks

Click here to see answer by bucky(1732) About Me 

Question 72411: Find the quotient and remainder of f(x) = x4 -2 divided by p(x) = x-1
Possible answers:
x3 + x2 +1; -1
x3 + x2 + x +1; -1
x3 + x + 1; -1
x3 - x2 - x - 1; -1

Click here to see answer by pradhyumna.kumar@gmail.com(62) About Me 

Question 72403: if f(x) = x(x+3)(x-1), use interval notation to give all values of x where
f(x)>0.

Click here to see answer by funmath(2873) About Me 

Question 72373: Hi! This homework problem I have found to be very difficult, if you could help, that'd be great! I've tried all the ways I can think of to try and come up with even the equation, but haven't been successful.. I think part of my problem was that there aren't any variables.. I tried making up my own, but kept coming up with a different constant each time..
Grapefruit problem:
Suppose that you are shopping at a supermarket and find that the Texas grapefruits have twice the diameter of the Florida ones, but cost seven times as much. Recalling that the volumes of similarly shaped solids vary directly with the cube of a linear dimension such as a diameter, you instantly determine which kind of grapefruit gives you more for your money. Which one does, and why?
Thank-you!

Click here to see answer by psbhowmick(456) About Me 

Question 72496: I have a hard time with word problems. A right triangle is a triangle with one angle measuring 90°. In a right triangle, the sides are related by Pythagorean Theorem, where c is the hypotenuse (the side opposite the 90° angle). Find the hypotenuse when the other 2 sides’ measurements are 3 feet and 4 feet.
Thank you,

Click here to see answer by stanbon(26297) About Me 

Question 72526: Which line is perpendicular to y=-3/2X+2/3?
Click here to see answer by jim_thompson5910(13794) About Me 

Question 72495: I have problems with word problems. Suppose you travel north for 35 kilometers then travel east 65 kilometers. How far are you from your starting point? North and east can be considered the directions of the y- and x-axis respectively. Round to the tenth's place.
Thank you

Click here to see answer by Edwin McCravy(2922) About Me 

Question 72494This question is from textbook
: I need some help with multipling rational expressions.
Can you please help.
The directions are multiply and state any restrictions on the varibale.
((4x^2)/(5y)) * ((7y)/(12x^4))
((8y-4)/(10y-5)) * ((5y-15)/(3y-9))
((x^(2)-4)/(x^(2)-1)) * ((x+1)/(x^(2)+2x))
Thankyou so much
This question is from textbook

Click here to see answer by pradhyumna.kumar@gmail.com(62) About Me 

Question 72500This question is from textbook
: Can you please help me divide rational expressions and find any restrictions.
((7x)/(4y^(3)) ÷ ((21x^(3)/(8y))
((6x+6y)/(x-y)) ÷ ((18)/(5x-5y))
((x^(2)/(x^(2)+2x+1)) ÷ ((3x)/(x^(2)-1))
This question is from textbook

Click here to see answer by pradhyumna.kumar@gmail.com(62) About Me 

Question 72589: I have checked all possible answers and heeeeeers my question. someone please explain how do I need to do this. You guys/gals are all I have in helping me.
for f(x) = 1/x^2 -2x -8, find the interval(s) where f(x) < 0.
-4, 2
-2, 4
2, 4
2, 8
Thank you if you can take the time to teach me.

Click here to see answer by stanbon(26297) About Me 

Question 72594: please help me simplify:
1/m+7/6m-2/3m

Click here to see answer by pradhyumna.kumar@gmail.com(62) About Me 

Question 72641: Find the equation of the line that is perpendicular to the line
segment from (-3, 4) to (1, -2) and passes through the line segment
at its midpoint.
I'm not sure how to do the line when it is perpendicular, please help!
ThAnKs!

Click here to see answer by checkley75(3666) About Me 

Question 72662: I was able to get this far on the equation and now I don't know what to do to solve. I appreciate any help. Thanks. :)
Set y=0 and solve

This is how far I got.



Click here to see answer by bucky(1732) About Me 

Question 72683: Find the number log5(1/5)
possible answers:
-5
-1
0.2
1
Please explain it to me. Thanx

Click here to see answer by Earlsdon(4900) About Me 

Question 72743: Using graph paper, sketch the graph of the following system of inequalities, clearly identifying the solution set.
(x + 1)2/36 + (y – 2)2/25 < 1

(x + 1)2/25 + (y – 2)2/36 < 1

Click here to see answer by stanbon(26297) About Me 

Question 72741: Could someone show me how to solve this? It'll help me study for me exam since I missed this section's notes and have no idea on how to do this problem. As always, help is always appreciated. Thank you. :)

Solve

Click here to see answer by stanbon(26297) About Me 

Question 72593: I need someone really smart.
Let f(x) =x3 -8x2 +17x -9. use the factor theorem to find other solutions to f(x) -f(1) = 0, beside x=1.
I have 6 algebra books that can not explain this factor theorem whereas I can understand it, Can someone out there explain an easy way to understand this.
Thank you

Click here to see answer by rmromero(383) About Me 

Question 72567: What is the difference between: independent and dependent and consistent and inconsistent?
Click here to see answer by rmromero(383) About Me 

Question 72758: Find the equilibrium point for the following:
D(p)=132-13p
and
S(p)=86+10p

Click here to see answer by ankor@dixie-net.com(6693) About Me 

Question 72891: Given the graph of a polynomial, how do I find the equation of its
function? I wish I could show you the graph...
Ok, I have figured out how to estimate the degree of a function by
looking at its graph. For example, the MAXIMUM number of turning
points a sixth-degree polynomial can have is five, but that it can
have less as well. I have a graph that I have determined to most
likely be that of a sixth-degree polynomial. It has 3 turning
points, and 6 zeroes. However, I also understand that the graphs of
sixth-degree polynomials can have various 'appearances'. That is
why I don't understand how I can possibly give the equation for a
function, given its graph. Help!


Click here to see answer by jim_thompson5910(13794) About Me 

Question 73003: Can you help please help me? I need to find the difference in simplest form.
((5)/(x+5))) - ((2x+5)/(x^(2)+9x+20)))
please help me!!
thanks

Click here to see answer by stanbon(26297) About Me 

Question 72997This question is from textbook
: A right triangle is a triangle with one angle measuring 90°. In a right triangle, the sides are related by Pythagorean Theorem, where c is the hypotenuse (the side opposite the 90° angle). Find the hypotenuse when the other 2 sides’ measurements are 3 feet and 4 feet.
Answer:
Show work in this space

This question is from textbook

Click here to see answer by checkley75(3666) About Me 

Question 73005: For the function, y = 1
-----
x -1
give the values for x = -2,-1, 0,1,2,3 where do I begin? Is there a formula?

Click here to see answer by rmromero(383) About Me 

Question 72980This question is from textbook Algebra 2
: i actually have a few questions some aren't really about the topic...a few being 5...
1. Two kilograms of iron was melted with 7 kilograms of other metals to make the alloy. If 1440 kilograms of the alloy was required, how many kilograms of iron should be used?
2. Charles and Matthew knew that the formula for sulfuric acid was H2SO. If they haad 196 grams of sulfuric acid, what was the weight of the sulfur(H,1; S,32; O,16)?
3. The ratio of the two numbers was 7 to 2. When Sir Richard and MArion multiplied the denominator by 10, they found that the result was 84 greater than twice the numerator. What were the numbers?
4. Solve: 5x-2 over(/) 3 -x over(/) 4 = 7
5. 1 over (/) x+3 + 3x over(/) x+2 + 2x+1 over(/) x squared + 5x + 6
This question is from textbook Algebra 2

Click here to see answer by ankor@dixie-net.com(6693) About Me 

Question 73004: Help me please!!!
I need to express each difference in simpest form.
((d^(2)+3) / (d^(2) - 2d)) - ((d - 4) / (d))
and
((d^(2)-11) / (d^(2) - 7d +12)) - ((d+1) / (d-4))

Click here to see answer by rmromero(383) About Me 

Question 73006: Last question that need your direction/help the others I understand, and appreciate all the help that I've gotten thus far. Again, thanks soooo much! Here is the question.
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.
x -2 -1 0 1 2
y .25 .5 1 2 4


Click here to see answer by stanbon(26297) About Me 

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