# 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 107353: determine iof fractions are proportional 5/8 and 75/120 Click here to see answer by Fombitz(13828)

 Question 107482: The figure shows the graphs of f(x) = x3 and g(x) = ax3. What can you conclude about the value of a? a. a < –1 b. –1 < a < 0 c. 0 < a < 1 d. 1 < a Click here to see answer by MathLover1(6613)

 Question 107485: Find the distance between the points A(4, –3) and B(–4, 3). a. 5 b. 7 c. 10 d. 14 Click here to see answer by Fombitz(13828)

 Question 107479: Solve loga (7x +1) = loga (4x +16) a. 4 b. 5 c. 6 d. 8 Click here to see answer by Fombitz(13828)

 Question 107480: If a piece of real estate purchased for \$50,000 in 1998 appreciates at the rate of 5% per year, then its value t years after the purchase will be f (t) = 50,000(1.05t ) . According to this model, by how much will the value of this piece of property increase between the years 2007 and 2008? a. \$2500 b. \$3140 c. \$3880 d. \$31,400 Click here to see answer by Fombitz(13828)

 Question 107484: Solve the inequality 21/15-3x<0 and express the solution as an interval. a. (5, ∞) b. (7, ∞) c. (–∞,5) d. (–∞, 7) Click here to see answer by Fombitz(13828)

 Question 107670: Find the solutions to the equation: x2 + 2x – 8 = 0. a. x = –4, 2 b. x = –3, 5 c. x = –2, 4 d. x = 4, 4 Click here to see answer by jim_thompson5910(28476)
 Question 107670: Find the solutions to the equation: x2 + 2x – 8 = 0. a. x = –4, 2 b. x = –3, 5 c. x = –2, 4 d. x = 4, 4 Click here to see answer by MathLover1(6613)

 Question 107668: Find the solution to the equation: 6x – 3 = –2x + 21 a. 2.25 b. 3 c. 4.5 d. 6 Click here to see answer by jim_thompson5910(28476)

 Question 107669: A pair of jeans is on sale for \$39.20, which is 30% off the original price. Find the original price of the jeans. a. \$42.20 b. \$50.96 c. \$56.00 d. \$69.20 Click here to see answer by solver91311(16868)

 Question 107665: The volume of a cylindrical tank is given by the formula V =πh r2 where h is the height of the cylinder and r is its radius. Find the volume to the nearest tenth of a cubic foot of a cylindrical tank that has a radius of 3 feet and a height of 5 feet. a. 47.1 cu. ft. b. 94.2 cu. ft. c. 135.0 cu. ft. d. 141.4 cu. ft. Click here to see answer by solver91311(16868)

 Question 107666: Express as a polynomial: (x+a)(X2-ax/x) a. x 2 − a 2 b. x 2 − 2ax − a2 c. x 2 − 2ax + a2 d. x 2 + ax + a2 Click here to see answer by MathLover1(6613)

 Question 107683: State the domain of the following: g(x)=2x+1/x-3 Click here to see answer by MathLover1(6613)

 Question 107726: x^4-y^4 x^2-y^2 x^6-y^6 ------- x -------- x -------- x^3-y^3 x^3+y^3 x^2+y^2 those are fractions multiplied by eachother "carry out the indicated operations and simplify" the answer in the back of the book is x^4-2x^2y^2+y^4 i'm just confused as to how to get to that answer. i've tried some things, but they aren't working. Click here to see answer by edjones(7569)

 Question 107758: /------- Find the domain of f (x) = 7 + /3x + 21 , and express it using interval notation. a. [–7, ∞) b. [0, ∞) c. [7, ∞) d. [21, ∞) Click here to see answer by Nate(3500)

 Question 107667: If points A, B, and C lie on a coordinate line and points A and B have coordinates 15 and 7 respectively, then which of the possible coordinates for point C satisfy(ies) d(A, C) < d(B, C)? a. 12 b. 17 c. both (a) and (b) d. neither (a) nor (b) Click here to see answer by scott8148(6628)

 Question 107787: I have a questions about a graph, but cannot post the graph here. Is there a way to attach a document that shows the graph? Click here to see answer by MathLover1(6613)
 Question 107787: I have a questions about a graph, but cannot post the graph here. Is there a way to attach a document that shows the graph? Click here to see answer by jim_thompson5910(28476)

 Question 107803: Refer to the PhotoBucket Graph (link below)and identify the graph that represents the corresponding function below. Justify the answer. http://i243.photobucket.com/albums/ff78/pstonephoto/Graph.gif Click here to see answer by jim_thompson5910(28476)

 Question 107946: Evaluate: Find f[g(x)] if: f(x)= 5x, and g(x)= -5x+6 Click here to see answer by jim_thompson5910(28476)

 Question 107956: Can you determine the complex number solution to this equation. x^2-2x+10=0 Click here to see answer by jim_thompson5910(28476)

 Question 107949: Find g[f(4)]if: f(x)=6x, and g(x)=-2x-2 Click here to see answer by edjones(7569)

 Question 107757: Find the solutions to the equation: x − 5/4 = 4 a. x = –1, 4 b. x = –1, 5 c. x = 1, 4 d. x = 1, 5 Click here to see answer by edjones(7569)

 Question 108025: x^2+7x-8/ 4x^2-8x+4 Click here to see answer by edjones(7569)

 Question 108233: Hi, I need some help solving this problem on reducing rational expressions: 6m^2/9m^4-15m^3 Thanks! Click here to see answer by stanbon(57219)

 Question 108297: Reduce to the lowest terms: 5c-10a c-2a Click here to see answer by jim_thompson5910(28476)

 Question 108149: Problem #1 For the function h(x) = x³ - x² - 17x - 15, Use long division to determine which of the following are factors of h(x). a) x + 5 b) x + 1 c) x + 3 Problem #2 Determine the oblique asymptote of the graph of the function. g(x)= (x² + 4x - 1)/(x + 3) Thanks. Click here to see answer by Edwin McCravy(8879)

 Question 108232: Hi, I need help solving this problem on reducing rational expressions: Thanks! Click here to see answer by Edwin McCravy(8879)

 Question 108231: Hi, I need help solving this problem on reducing rational expressions: x^2-2xy+y^2/x^2-y^2 Thanks! Click here to see answer by Fombitz(13828)

 Question 108376: I need to find the domain to: g(x)=log(x+3) and g(t)=ln(t-1). I am so confused Click here to see answer by Fombitz(13828)

 Question 108382: This is combining rational expressions with an unlike denominator. ((x^2+2)/(x^2+2x-15)) + ((7-4x)/(15-2x-x^2)) Click here to see answer by stanbon(57219)

 Question 108389: If a company earns a weekly profit of P dollars by selling x patterns, according to the formula P(x)=0.002x^2 +3.5x^2-800. How many patterns must it sell each month in order to have a maximum profit? What is the maximum profit? Click here to see answer by stanbon(57219)

 Question 108396: (5/x+6)-(3/x-6) The denominators are the same but how do you change their signs so you can subtract? Click here to see answer by checkley71(8403)

 Question 108395: (y^3)^1/6 Click here to see answer by checkley71(8403)

 Question 108437: Solve each system by elimination: -x+3y=-1 x-2y=2 Click here to see answer by checkley71(8403)

 Question 108441: Solve each system by elimination: -x+3y=-1 x-2y=2 Click here to see answer by checkley71(8403)

 Question 108444: Solve each system by elimination: 4x-3y=-2 4x+5y=14 Click here to see answer by checkley71(8403)

 Question 108443: Simplify into one rational expression x^-1 - y^-2 Click here to see answer by ankor@dixie-net.com(15623)
 Question 108443: Simplify into one rational expression x^-1 - y^-2 Click here to see answer by checkley71(8403)
 Question 108443: Simplify into one rational expression x^-1 - y^-2 Click here to see answer by stanbon(57219)
 Question 108443: Simplify into one rational expression x^-1 - y^-2 Click here to see answer by chitra(359)

 Question 108619: What is the relationship between the lines y=-3x+5 and y=-3x-7? Are they parallel, perpendicular, or neither? Click here to see answer by Fombitz(13828)

 Question 108621: What is the relationship between the lines y=-3x+5 and y=-3x-7? Are they parallel, perpendicular, or neither? Click here to see answer by checkley71(8403)

 Question 108831: Problem #1 Solve: (x+3)(x-5)<0 Problem #2 Weight on Mars: The weight M of an object on Mars varies directly as its weight E on Earth. A person who weighs 95 lbs on Earth weights 38 lbs on Mars. How much would a 100 lb person weigh on Mars Click here to see answer by stanbon(57219)

 Question 108981: graph including any oblique asymptotes (x^2+5)/(x+1). I know how to graph it in a calculator. this problem is one found on pg 300 matched problem 6. I am not understanding how to do this problem based of the example given to me on the previous page. I have the answer in the book. it is all done on a gragh but I don't understand how to mathmatically work this out I can do it on a calculator but I need to know how to show this with out a calculator. Click here to see answer by Fombitz(13828)

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