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

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Question 32806: How much water must be added to 180 grams of a solution that is 35% acetic acid to produce a solution that is 10% acetic acid?
Click here to see answer by stanbon(26297)

Question 32885This question is from textbook Algebra
: What if 0 and 3-2i are roots of a polynomial equation. What are the other roots of the equation?This question is from textbook Algebra

Click here to see answer by stanbon(26297)

Question 32594This question is from textbook Intermeadiate algebra

: Can someone please show me how to simplify this rational expression?
3x^2 – 3y^2 / x^2 + 2y + 2x +yx
This question is from textbook Intermeadiate algebra

Click here to see answer by sarah_adam(201)

Question 32948This question is from textbook College Algebra

: 4)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

5)Suppose you travel north for 35 kilometers then travel east 65 kilometers. How far are you from your starting point?
Answer:
Show work in this space.

6)The volume of a cube is given by V = s3. Find the length of a side of a cube if the Volume is 729 cm3.
Answer:
Show work in this space.

This question is from textbook College Algebra

Click here to see answer by sarah_adam(201)

Question 32956This question is from textbook College Algebra

: 1)Solve the following equations.
a)sqrt x - 1 = 3
Answer:
Show work in this space.
b)sqrt x^ = 8 .
Answer:
Show work in this space.

c)3sqrt x^ = 4 .
Answer:
Show work in this space.

2)Is sqrt x^ = x an identity (true for all values of x)?
Answer:
Explain your answer in this space.

3)For the equation x - sqrt x = 0 , perform the following:
a)Solve for all values of x that satisfies the equation.
Answer:
Show work in this space

b)Graph the functions y = x and y = sqrt x on the same graph (by plotting points if necessary). Show the points of intersection of these two graphs.
Graph
c)How does the graph relate to part a?
Answer:
This question is from textbook College Algebra

Click here to see answer by sarah_adam(201)

Question 32954: Its actually the subtraction of unlike rational denominators.
The example in my phschool mathbook has the following rational expression:
_4_ _ __1__
5x x^2
Note: The 5x is the denominator for 4, and x^2 is the denominator to 1
and the given answer to is:
__4x-5__
5x^2
but everytime I try to solve the problem itends up bieng:
__4x^2-5__
5x^2
What am I doing wrong?
Click here to see answer by checkley71(8405)

Question 32996This question is from textbook Algebra 2
: sketch the graph of each rational function.
y=4x^2-100
________
2x^2+x-15This question is from textbook Algebra 2

Click here to see answer by xcentaur(357)

Question 32330: I need help with this problem
The inverse of y=6x^2-13x
I got Y=13+or-square root 145 all over 2
Click here to see answer by stanbon(26297)

Question 33114: Simplify the rational expression

(x-5/x^2+2x-3)-(x-1/x^2+6x+9
Click here to see answer by sarah_adam(201)

Question 33114: Simplify the rational expression

(x-5/x^2+2x-3)-(x-1/x^2+6x+9
Click here to see answer by longjonsilver(2297)

Question 33155: please help: I am trying to solve rational expressions.
a)x/2 + 2x/5 = 9

Click here to see answer by sarah_adam(201)

Question 33145: Hi, please help. I tried doing this myself and ended up with x/x-1 as th e answer. Please show me the correct working.
1+1/x / 1-1/x^2
That is 1 plus 1 over x over(divided by) 1 minus 1 over x squared.
Click here to see answer by mukhopadhyay(490)

Question 33318: please help.
solve the following equation.
1/8 - 1/12 = 1/t That is 1 over 8 minus 1 over 12 equals 1 over t
Click here to see answer by priya(51)

Question 33331: please help.
Solve the following equation.
2/x + 3 = 5/x
Click here to see answer by sarah_adam(201)

Question 33317: Please solve the following equation
(4x + 1)/3 - (3x -1)/ 2 =1
Over : means divided by, and the equation is equal to 1.
Click here to see answer by sarah_adam(201)

Question 33317: Please solve the following equation
(4x + 1)/3 - (3x -1)/ 2 =1
Over : means divided by, and the equation is equal to 1.
Click here to see answer by stanbon(26297)

Question 33315: Find each functional value if h(x)= 2x+1.
h(-5)
Click here to see answer by sarah_adam(201)

Question 33339: let y vary directly as x. If y-10 when x=4, what is x when y =7?
Click here to see answer by stanbon(26297)

Question 33400: s² 1 ———————— — —————— 13s²-13s 13s-13

Click here to see answer by AnlytcPhil(958)

Question 33493: Solve the rational equation:
1/(5x+5)= 3/(x+1) - 7/5
that is 1 over 5x+5 equals 3 over x+1 minus 7 over 5...
I have tried this problem several different ways and i can't seem to find the right least common denominator. Please Help!!
Click here to see answer by stanbon(26297)

Question 31213: I really could use your help on this problem please!
(Radical Functions)
-2^3sqrt(216)-3
Click here to see answer by mszlmb(115)

Question 33518This question is from textbook
: I am trying to simplify the sum of 5x/(x^2-x-6) and 4/(x^2+4*x+4). Please help.This question is from textbook

Click here to see answer by Cintchr(475)

Question 30958: Please help me! I have to find the remaing roots (zeros) but I'm confused. The problem is f(x)=x^3+2x^2-3x+20. One root is there and it is -4. I have to find two more roots (zeros). I tried to work it out using synthetic division:
4/ 1 , 2 , -3 , 20
____4 , 24 , 84
= 1 , 6 , 21 , 104
The problem is really confusing when I type it out but I hope you can help me...
Click here to see answer by venugopalramana(3286)

Question 33559: Simplify the expression...

sqrt -(x^2-10x+25)
that's the square root of x^2 minus 10x plus 25. with the a negitive symbol on the outside of the square root sign. I think i need to factor this but i dont think i did it right... please help
Click here to see answer by priya(51)

Question 33628This question is from textbook COLLEG ALGEBRA

: I need help!
This is a discussion board it needs to at least 3 paragraphs please.

The loudness of sound is based on intensity level measured in decibels using a logarithmic scale and is relative to (a ratio of) the weakest sound the ear can hear.This question is from textbook COLLEG ALGEBRA

Click here to see answer by Nate(3495)

Question 33656: Sam must have an average of 70 or more in his summer course to
obtain a grade of C. His first three test grades were 75, 63, and 68. Write an inequality representing the score that Sam must get on the last test to get a C grade.
Click here to see answer by benni1013(141)

Question 33654: Translate the following statement into an inequality. Let x represent the number in each case.
2 times a number, increased by 28, is less than or equal to 6 times that number.
Click here to see answer by longjonsilver(2297)

Question 33768: I need to solve the equation square root of x+56=x and i ned to check for extraneous solutions
Click here to see answer by venugopalramana(3286)

Question 34046: 3/x+2/y / 2/x - 3/y = ?
Click here to see answer by ichudov(404)

Question 33923: Rationalize the denominator and simplify.
√5+1
------
2+√2
Click here to see answer by xcentaur(357)

Question 34124: hi, i am having a lot of difficulty with rationals and here is one question i cannot get.
³√-8m¹²
thanks!!
Click here to see answer by sarah_adam(201)

Question 34134: using the foil method find the product.(x+3)(x2-2x+6)
then i got x3+-6x2+-36x+18 as my answer but my book got x3+x2+18
can u show me how they got that answer or what i did wrong
Click here to see answer by longjonsilver(2297)

Question 34140This question is from textbook
: using the foil method (3+2s-s2)(s-1)
i got it down to (3s-3)(2s2-2s)(-s3+s2)
but i got confused and can't get the final answer.can u help me with the rest?This question is from textbook

Click here to see answer by longjonsilver(2297)

Question 34186: Consider the rational function f(x)=2x/x-1. Give:
The domain
The Vertical Asymtote
The Horizontal Azymptote
The Graph.
Please help me with this problem. I don't even know where to start. Thank you.
Click here to see answer by venugopalramana(3286)

Question 34335: rationalize the denominator, then simplify, if possible
sqrt (x)-2/sqrt (x)-5
Click here to see answer by venugopalramana(3286)

Question 34334: use rational exponents to simplify the espression below if rational exponents appear after simplifying, write the answer in radical notation.
(the 8th root of 2a)^6
sorry i cant really figure out a way to write that more clearly...
Click here to see answer by longjonsilver(2297)

Question 34333: multiply and simplify the expression below. assume all variables and radicands are possitive.
the fourth root of 4x^2y^3z^3 * the fourth root of 8x^4yz^6
I get the multiplying part but im having a hard time figuring out what the perfect fourth root is.
Click here to see answer by longjonsilver(2297)

Question 34348: I am having difficulty with inverses of functions:
What is the inverse of the following function:

Heres what I did:

When it is checked however, it does not work:

This check works, but...

This doesn't, I found the graph of the inverse of the function, but I need the equation. Please help!
Thank you,
Sally Mat
Click here to see answer by Earlsdon(4900)

Question 34332: divide, and if possible, simplify.

please help!
Click here to see answer by mbarugel(146)

Question 34471: Hi my name is Eddie and I am a 11th grade student. I am have trouble with Graphing Radical Functions. I have a online text book that shows the problems
http://www.phsuccessnet.com/altcontent/products/0-13-037881-X/Ch07/07-08/PH_Alg2_ch07-08_Ex.pdf
I need help on problems 2,6,10, and 18. Any help would be helpful. Thank you.
Click here to see answer by venugopalramana(3286)

Question 34601: Consider the rational function f (x) =2x/x-1 . Give:
(i) The domain.
(ii) The Vertical Asymptote.
(iii) The Horizontal Asymptote.
(iv) The graph.
Please help me to solve this problem. I am no good with rational functions. Thank you.
Click here to see answer by stanbon(26297)

Question 34622: x-sqrt(x)=0
Click here to see answer by checkley71(8405)

Question 34747: What does the symbol "i" represent?
Is "12.5555…" a rational or irrational number? Explain.
Is "2.1273685…" a rational or irrational number? Explain.
Is "548/799" a rational or irrational number? Explain.
Simplify "(5 + 3i)(5 - 3i)". Is the result real, complex, or both? Explain.
Click here to see answer by venugopalramana(3286)

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