# 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 480379: Please help! I am trying to learn to write the partial fraction decomposition of rational expressions such as the following: (4x^2) / (x^3+5x^2+7x+3) My book is saying something about "rational zeros theorem," and I'm just not getting it. I need the "for-dummies" explanation, if you please! Thanks! Click here to see answer by Edwin McCravy(8909)

 Question 480959: is the ordered pair a solution to the equation ? 3x+5y=-22, 4x+2y+-20 (-4,-2) Click here to see answer by rfer(12670)

 Question 481581: How do i know if f(x)=2/x-2 is a linear function Click here to see answer by Alan3354(30993)

 Question 481908: Okay, this problem is algebra 2 but, I attempted to do some work on it but.... im stuck. It reads: the height of a diver jumping from a diving platform is about h= -16.1t^2 +11t+34.3 Where h is the height of the diver in feet above the water and t is the time measured in seconds, when diving from a platform about 34.3 feet above the water with an upward initial velocity of 11 ft/sec. question: After how many seconds is the diver's height above the water 7 feet? After how many seconds is the diver's height above water 36 feet? *I set the whole thing up as an equation as I was taught in algebra 2 however, when I referred to my notes... we did not have 3 numbers on the right side of the equation... so, I attempted to solve it and I stopped at 27.3= -16.1t^2 +11t Click here to see answer by stanbon(57387)
 Question 481908: Okay, this problem is algebra 2 but, I attempted to do some work on it but.... im stuck. It reads: the height of a diver jumping from a diving platform is about h= -16.1t^2 +11t+34.3 Where h is the height of the diver in feet above the water and t is the time measured in seconds, when diving from a platform about 34.3 feet above the water with an upward initial velocity of 11 ft/sec. question: After how many seconds is the diver's height above the water 7 feet? After how many seconds is the diver's height above water 36 feet? *I set the whole thing up as an equation as I was taught in algebra 2 however, when I referred to my notes... we did not have 3 numbers on the right side of the equation... so, I attempted to solve it and I stopped at 27.3= -16.1t^2 +11t Click here to see answer by solver91311(16897)
 Question 481908: Okay, this problem is algebra 2 but, I attempted to do some work on it but.... im stuck. It reads: the height of a diver jumping from a diving platform is about h= -16.1t^2 +11t+34.3 Where h is the height of the diver in feet above the water and t is the time measured in seconds, when diving from a platform about 34.3 feet above the water with an upward initial velocity of 11 ft/sec. question: After how many seconds is the diver's height above the water 7 feet? After how many seconds is the diver's height above water 36 feet? *I set the whole thing up as an equation as I was taught in algebra 2 however, when I referred to my notes... we did not have 3 numbers on the right side of the equation... so, I attempted to solve it and I stopped at 27.3= -16.1t^2 +11t Click here to see answer by josmiceli(9697)

 Question 482111: which way does the graph of x^2=8y open? Click here to see answer by mananth(12270)

 Question 482249: w=Cr^-2 Where C is a constant, and r is the distance that an object is away from the center of the Earth. Suppose an object is 100 pounds when it is at sea level. Find the value of C that makes the equation true. (sea level is 3,963 miles from the center of Earth.) Click here to see answer by MathLover1(6638)

 Question 482737: Hi, I'm trying to do my precalc honors summer work, and I'm completely stuck on how to solve G(x)=x^3-8; I know it seems simple, but its although as soon as I get out of school for the summer, I completely forget how to do anything slightly complicated. Could you please explain to me how to create a table with enough points so that I can graph it by hand? Also, is there a vertex formula? It seems like there would be a vertex with this type of graph. I think the shape of it should be similar to that of an "S" because it is x^3, am I correct? Thank you, Jess Click here to see answer by stanbon(57387)
 Question 482737: Hi, I'm trying to do my precalc honors summer work, and I'm completely stuck on how to solve G(x)=x^3-8; I know it seems simple, but its although as soon as I get out of school for the summer, I completely forget how to do anything slightly complicated. Could you please explain to me how to create a table with enough points so that I can graph it by hand? Also, is there a vertex formula? It seems like there would be a vertex with this type of graph. I think the shape of it should be similar to that of an "S" because it is x^3, am I correct? Thank you, Jess Click here to see answer by tinbar(128)

 Question 482118: write the equation of the hyperbola with center (0,0), focus (-5,0), and vertex (-2,0). Click here to see answer by lwsshak3(6522)

 Question 482115: write the equation of the ellipse with center(0,0), vertex (0,6) and co-vertex(-3,0). Click here to see answer by lwsshak3(6522)

 Question 480163: Alicia can row 5 miles downstream in the same time it takes her to row 2 miles upstream. She rows downstream 4 miles/hour faster than she rows upstream. Find Alicia's rowing rate each way(downstream/upstream). Round your answers to the nearest tenth, if necessary. Click here to see answer by lwsshak3(6522)

 Question 483445: i can't figure out the steps to find the zeros of this equation: y=125x^3-8 Click here to see answer by stanbon(57387)

 Question 483402: Find the inverse of the function g(x)= 2x-1. Click here to see answer by lwsshak3(6522)

 Question 478976: Find all numbers for which the rational expressions is undefined (n^3-2n)/n^2-4 Click here to see answer by lwsshak3(6522)

 Question 476457: Solve (x +1)(x -4) < 0 and express the solution set in set notation Click here to see answer by lwsshak3(6522)

 Question 474451: Find y if the point (4,y) is equidistant from the points (-1,-1) and (1,3) Click here to see answer by lwsshak3(6522)

 Question 484456: What does it mean when there is a dash (-) above a number? _ Click here to see answer by chessace(471)

 Question 485059: what is the slope and the y-intercept of the equation 4y=2x-10 ? Click here to see answer by rfer(12670)

 Question 485077: what are the steps to make set notations like {X|x<20} into an interval notation then number line Click here to see answer by MathLover1(6638)

 Question 484659: How do you graph x squared + 10x + y squared + 20y -19 = 0 Click here to see answer by lwsshak3(6522)

 Question 483933: Could you please help me find the inverse of the following function? f(x) = sqrt(3)(x-1) + 2 This is what I have. Is it correct? y-2 = sqrt(3)(x-1) (y-2)sqrt(3) = x-1 (y-2)(y-2)(y-2) = x-1 (y^2-2y-2y+4)(y-2) = x-1 y^3-2y^2+4y^2-8y+4y-8 = x-1 y^3+2y^2-6y-8 = x-1 y^3+2y^2-6y-7 = x Click here to see answer by lwsshak3(6522)

 Question 485437: {(-3, 2), (-1, 3), (-1, 2), (0, 4), (1, 1)} {-(3, 2), (-2, 3), (-1, 1), (0, 4), (0, 1)} {(- 3, 3), (-2, 3), (-1, 1), (0, 4), (0, 1) }{-(3, 2), (-2, 3) , -(1, 2), (0, 4), (1, 1)} Determine which relation is a function. I am so confused! Click here to see answer by chessace(471)

 Question 485854: how do you make a table and graph the function f(x)=1/2 of x squared Click here to see answer by Theo(3464)

 Question 485907: what values of x are not permissible inthe following expressions: 1. 8/x 2. 5/x-9 3. x^2-x-12/x^2-5x 4. x-6/x(x+6) 5. x^2-3/(x+2)(x=8) Click here to see answer by MathLover1(6638)