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

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 Algebra: Rational Functions, analyzing and graphing Solvers Lessons Answers archive Quiz In Depth

 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(57332)

 Question 32885: What if 0 and 3-2i are roots of a polynomial equation. What are the other roots of the equation? Click here to see answer by stanbon(57332)

 Question 32594: Can someone please show me how to simplify this rational expression? 3x^2  3y^2 / x^2 + 2y + 2x +yx Click here to see answer by sarah_adam(201)

 Question 32948: 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. Click here to see answer by sarah_adam(201)

 Question 32956: 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: 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(8403)

 Question 32996: sketch the graph of each rational function. y=4x^2-100 ________ 2x^2+x-15 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(57332)

 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 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(57332)

 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(57332)

 Question 33400: ``` s2 1    13s2-13s 13s-13``` Click here to see answer by AnlytcPhil(1276)

 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(57332)

 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 33628: 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. Click here to see answer by Nate(3500)

 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(197)

 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 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√-8mΉ² 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 34140: 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? 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(6287)
 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 priya(51)