# 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 515130: Hi! My question: find the domain for f(x) = 6th root of 1-4x^2. There is nothing this complex in my entire book!! Where do I start? Do I make a chart and start plugging numbers? I was praying for an odd root!! ha-ha Can you please tell me step by step what to do? You are all life savers! Thanks, Tracy Click here to see answer by josmiceli(9645)

 Question 515145: Find the vertex, line of symmetry, and maximum or minimum value of f(x)1/5(x+1)^2+1 Click here to see answer by lwsshak3(6456)

 Question 514992: Write the equation of the line containing the given point and perpendicular to given line. (0,6) 3x+2y=7 Click here to see answer by lwsshak3(6456)

 Question 514557: I always end up with the slope upside down because I get confused which one equals x or y. g(x), or x. Like if the problem is f(6)=7 and f(3)= 2 I get confused on which one is x and y. Is the slope 3/5? Or 5/3? How can I remeber which one it is? Click here to see answer by lwsshak3(6456)

 Question 514722: x^2 + x - 2 ____________ x^2 + 3x - 4 Click here to see answer by lwsshak3(6456)

 Question 515574: I need assistance with a problem that I am having trouble with. Determine the nature of the solutions of the equation. y^2 = 4/5y + 4/7 y^2 - 4/5y -4/7 = 0 a = 1 b = -4/5y c = -4/7 I am completely lost as to how to work this problem. Thank you. Sincerely, Christine Fitzgerald Click here to see answer by Alan3354(30935)

 Question 515573: I am having trouble trying to solve this problem. Would someobdy be able to assist me? Solve - 3x^2 - 7x - 5 = 0 a. The solutions(s) is/are x=? b. Find the x-intercepts of f(x) = 3x^2 -7x - 5. 1/3 x 3x^2 - 7/3x - 5/3 = 0 x^2 - 7/3x - 5/3 = 0 x^2 - 7/3x - 5/3 this is where I get lost. Thank you. Sincerely, Christine Fitzgerald Click here to see answer by drcole(72)
 Question 515573: I am having trouble trying to solve this problem. Would someobdy be able to assist me? Solve - 3x^2 - 7x - 5 = 0 a. The solutions(s) is/are x=? b. Find the x-intercepts of f(x) = 3x^2 -7x - 5. 1/3 x 3x^2 - 7/3x - 5/3 = 0 x^2 - 7/3x - 5/3 = 0 x^2 - 7/3x - 5/3 this is where I get lost. Thank you. Sincerely, Christine Fitzgerald Click here to see answer by Alan3354(30935)

 Question 516544: is -3x+y=4 x-1/3y=1 independent, depehndent, inconsistent or consisten Click here to see answer by stanbon(57205)

 Question 516565: is 2y=5x+6 -10+4y=8 independent, depehndent, inconsistent or consisten Click here to see answer by stanbon(57205)

 Question 516783: i would like a deeper explination of point-slope form with a question like: write and equation of th line that passes through (1,-6) amd is perpendicular to the line y=3x+7 thank you verry much this is greatly appreciated Click here to see answer by oberobic(2304)

 Question 517068: A man walking 6 miles in 5 hours has an average speed of what? Click here to see answer by solver91311(16868)
 Question 517068: A man walking 6 miles in 5 hours has an average speed of what? Click here to see answer by JBarnum(2044)

 Question 518161: PLEASE be so kind as to help with this. w + x + y + z= 7 2w -x + y -z = -10 w + x -2y + z = 16 -w + x -y + 2z = 15 Click here to see answer by richwmiller(9132)

 Question 517378: Using transformation to graph a rational function Explain how to use the graph of f(x)=1/x^2 to sketch the graph of g(x)=-1/(x-3)^2-9. Give the coordinates of the points on the graph of g that are found by transforming the points (-1,1) and (1,1) from the graph of f. Please help me understand this question. Click here to see answer by lwsshak3(6456)

 Question 516724: Find the Domain of the given functions: x/x^2+3x and √(X+9)/(x+4)(X-8) Click here to see answer by lwsshak3(6456)

 Question 516379: Determine algebraically whether the function is even, odd or neither even nor odd. f(x)=-8x^5-6x^3 Click here to see answer by lwsshak3(6456)

 Question 516458: Suppose that y varies inversely as the square of x, and that y= 6 when x=5. What is y when x=6? ( Round off answer to 2 decimal places). Click here to see answer by lwsshak3(6456)

 Question 518744: Susan had \$20,000 to invest. She decided to invest part of it in a high-risk bond that yields 8.2% annual interest, and the rest in a savings bank yielding 3.9% per year. What least amount should she invest in the high-risk bond if she wants to receive at least \$1,000 interest per year? Click here to see answer by mananth(12270)

 Question 518747: How can I solve and graph a wide parabola as Click here to see answer by syberlazer(5)

 Question 519045: We are supposed to solve for x. The problem is: 1/x(squared) - 7x + 10 = x/x-5 + 1/x - 2 (the / are fractions) I have already multiplied the denominators and simplified it and got 6=-3x(squiared), but I think that its wrong! Click here to see answer by scott8148(6628)

 Question 519951: i need help solving this problem 3x+1/3x-15 - x^2-9/x^2-25 Click here to see answer by mananth(12270)

 Question 520159: Create a graph relating two variables in which time is NOT one of the variables. Write a story to accompany your graph. Thanks for the help! Click here to see answer by solver91311(16868)

 Question 520871: Please help!!! I keep getting 0.2123 seconds but not positive that this is correct...could someone show me the steps? Thank you!!! The period of time the pirate ship ride at a carnival takes to complete one cycle swinging to and fro is represented by the formula below for L feet long and T seconds. Find to the nearest hundredth of a second the period of time it takes the ride to swing one cycle if the ride hangs 200 feet. T=3π √(L/940) Click here to see answer by josmiceli(9645)

 Question 520895: Could someone please help. I don't understand. "which of the following points are on the graph of f(x) = 3x^2 -5x -2" a. (1,-4) b.(2,0) c. (0,2) d. (-3,40) Click here to see answer by solver91311(16868)

 Question 520899: Thank you for helping me. How do I solve this using the FOIL method? 3x (2x-1)(2x + 1) Click here to see answer by deborabr(181)

 Question 522226: I would really appreciate you help. I have to write the equation in vertex form and tell whether it opens up or down. 1. The vertex of the parabola is the (3,-2). Point F (-2,-8) lies on the graph of the parabola. Thank you so much Click here to see answer by solver91311(16868)

 Question 522222: Please help! I would really appreciate it. I have to write these equations in vertex form and tell whether they open up or down. 1.The vertex of the parabola is the (2,5)Point T (3,0) lies on the graph of the parabola. 2.The vertex of the parabola is the (-3,-5. Point G (1,6) lies on the graph of the parabola) Click here to see answer by Edwin McCravy(8879)

 Question 522402: Please help me with this! I don't know how to do this. I have to write this equation in vertex form. The vertex of the parabola is the origin. Point P (1,7) lies on the graph of the parabola. Thank you so much. Click here to see answer by stanbon(57205)

 Question 522403: Please help! I have to write this equation in vertex form. The vertex of the parabola is the origin. Point W (4,-5) lies on the graph of the parabola. Click here to see answer by stanbon(57205)

 Question 522562: What are 3 unequal positive rational numbers a, b, & c for which a+b+c=1/(a+b+c) Click here to see answer by Edwin McCravy(8879)