# 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 145600: divide the following expression: (x^2+10x+21) / (x+7) A) x^2+3 B) x-2 C) x+5 D) x+3 Click here to see answer by jim_thompson5910(28476)

 Question 145601: perform the indicated operations and simplify the following expression: 9/y+3 + 2y/y+6 A) 2y^2-15y+54 /(y+3)(y+6) B) 2y^2+15y+54 / (y+3)(y+6) C)(2y+6)(y+9)/(y+3)(y+6) D) -1 Click here to see answer by edjones(7569)

 Question 145599: solve the following equation 3/z-3 + 5/z-1 = 8/z-2 A) z=-4 B) z=-6 C) z=4 D) z=6 Click here to see answer by edjones(7569)

 Question 145697: Intermediate Algebra: Rational Expressions For all r≠ ± 2, r^2 - 5r + 6 / r^2 - 4 = ? Can you give me a really detailed explanation of how you get the answer? Thanks! Click here to see answer by jim_thompson5910(28476)

 Question 145693: Divide the following expression: 27z+23z^2+6z^3 / 2z+3 A) 3z^2+7z+3 and a remainder of -9 B) 3z^2+16z+3 and a remainder of 6 C) 5z^2+7z D) 3z+7 Click here to see answer by stanbon(57223)

 Question 146272: how do i do this? Simplify the following fraction by putting it in lowest terms or by performing the indicated operation. Click here to see answer by Edwin McCravy(8880)

 Question 146494: (3 - 7i)(2 + 4i),firstly,you expand it.(this is complex number), (6 +12i - 14i +28 ) = 34 - 2i.ans(note: i^2 = -1.so -7i x +14i =28) SOLVED BY JAMES(A.K.A, BOMBARD) Click here to see answer by bombard_advmath(1)

 Question 146533: If anyone could help me out with these graphing questions, I would REALLY appreciate it! I'm completely lost! Thank you so much! Graph the equation: a) y= 3x + 2 b) y= -x c) y= 1/2x + 2 d) y= x+2 e) y= -1/4x - 1 f) y= 3x+3 g) -3y= 6x h) -5x + 3y -15 = 0 i) 2x + y = 3 j) x-2y+2=0 If you could just show me how to do a few of these (like how to start them out) I think I'd be able to figure it out. I just wanted to give some examples of what I'm doing. Click here to see answer by jim_thompson5910(28476)

 Question 146549: Use product rule to multiply. sqrt (72) * sqrt (2) My solution was to multiply sqrt (72) *sqrt (2) = sqrt 144 which is simplified to 12. Not sure if it should be simplified to 144 or 12. Thanks! Click here to see answer by jim_thompson5910(28476)

 Question 146548: Divide. Sqrt (50) / Sqrt (-5) sqrt of 50 divided by sqrt of -5. I did the sqrt of 50 = 5 sqrt(2) Sqrt (-5) = -5 Multiplied 5 and 2 to get 10. I came up with the solution of -Sqrt (10). Not sure if it is sqrt (10) or - Sqrt (10). Hope I did not confuse you with my jibberish. Thanks! Click here to see answer by jim_thompson5910(28476)

 Question 146547: Use properties of exponents to simplify. Write with positive exponents. x^3/7 * x^1/5 / x^-1/3 I am thinking we multiply the num/ dem. But I am not sure where to start honestly. Thanks! Click here to see answer by oscargut(891)

 Question 146768: Re function f(x)=3x(squared)-x-2 If f(x)=-2, what is x? Click here to see answer by jim_thompson5910(28476)

 Question 146789: If x=0.4 when y=840 and y varies inversely as x find y when x=2.4 Click here to see answer by edjones(7569)

 Question 146791: 1/4 = 3 - 2x -1/x + 2 Click here to see answer by edjones(7569)

 Question 147096: The question is to find the vertical and horizontal asymptote(s) of f(x)= (x^3+8)/(x^2+4) Click here to see answer by Fombitz(13828)

 Question 147187: Let f (x)=|x-4| and g(x)+ 2.Find f o g and g o f Thank you for help Click here to see answer by stanbon(57223)

 Question 147221: If Marc took 3 hours (h) to mow a lawn while Angelina took 150 minutes (min) to mow the same lawn a wek earlier. What would be the ratio of Marc's time to Angelina's time as a ratio of a whole number? Click here to see answer by mangopeeler07(462)

 Question 147272: Which of the following pairs of functions are inverse functions? a. f(x)=3x-9, g(x)=-3x+9 b. f(x)=4-x, g(x)=4+x c. f(x)=x+5, g(x)=x-5 d. f(x)=x, g(x)=-x Click here to see answer by Nate(3500)

 Question 147383: Find f+g, f-g, f/g, f*g, f(g) f(x)=x squared + 4x-12 g(x)=x-2 Click here to see answer by oscargut(891)

 Question 147300: find the indicated outputs for f(x)=5x^2-3x or f(x)=5x to the second power-3x. f(0)= f(-1)= f(2)= Click here to see answer by oscargut(891)

 Question 147512: Find the equations for the horizontal and vertical asymptotes of the following. Type “none” if the function does not have an asymptote. a) f(x)= 2x-3/x^2+2 Horizontal: Vertical: b) g(x)=5x/x-1 Horizontal: Vertical: Click here to see answer by stanbon(57223)

 Question 147758: 3 5 8 --------- - --------------- = ---------------- x^2+4x-21 x^2- 8x +15 x^2+ 2x -35 Click here to see answer by jim_thompson5910(28476)

 Question 148036: Find the length of a simple iterest loan with P = \$640, r = 8.5%, and I = \$95.20. Click here to see answer by stanbon(57223)

 Question 148086: Divide using long division: 6x^3 + 19x^2 + x - 10 / 2x - 1 Click here to see answer by Edwin McCravy(8880)

 Question 148114: Simplify: ``` ((x^(3/2))y^-3)^1/3 -------------------- ((x^(1/2))y^-6)^-1 ``` Click here to see answer by jim_thompson5910(28476)

 Question 148121: Combine ``` 4 --- - x^(1/3) x^(2/3) ``` Click here to see answer by jim_thompson5910(28476)