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

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 Question 15861: 2x + y = 6 3x + y = 12 Click here to see answer by rahman(247)

 Question 16213: Solving Systems of Equations by Graphing: I am having alot of trouble solving this equation, I tried to look at the examples to see how it is done, but i don't understand, this is how the example was written and solved : Solve the system of equations by graphing: 2x + y = 5 x - y = 1 slope intercept form: 2x + y = 5 ---> y = -2x + 5 x - y = 1 ---> y = x - 1 {and then there is a graph drawn which intersects at (2,1) my question is: How can you draw a graph using y = -2x + 5 and y = x - 1 ? ( i 'd understand if it was y = 2 or y = 3 but this one has variable 'x' in it too) please help! Click here to see answer by pwac(253)

 Question 16392: how would you write an equation for each line example: through (-2, 1) and parellel to Y = -3x+1? Click here to see answer by venugopalramana(3286)

 Question 16521: Hi, My question is similar to 7723, but I'm not sure what to do with the square. f(x)=x(x-1)(x-4)^2 use interval notation to give all values of x where f(x)>0 I think the roots of f(x) = 0 are 1,0 and 4, but I'm not sure. Any help is much appreciated. Click here to see answer by rapaljer(4670)

 Question 16456: Can you show me step by step how when solving for t in this equation x^2 = 1/t+1 is equal to t = 1-x^2/x^2 ? Thank you. Click here to see answer by Earlsdon(6294)

 Question 16788: Hi, I think this is easy. I just got done doing one, but this one confuses me because of the x^4-2. I'm not sure how to work the x^4. Find the quotient and remainder of f(x)=x^4-2 divided by p(x)=x=-1. I know the remainder will be -1 because -2 minus 1 at the end of the equation. I think the equation should be something like 1 / 1 -2 , but I know I'm missing stuff. Like I said I'm not sure what to do with the x^4. Any help will be much appreciated. Click here to see answer by xcentaur(357)

 Question 16789: I'm problems with the following problem in understanding it. Find a polynomial with leading coefficient 1 and degree 3 that has -1, 1, and 3 as roots. It seems pretty easy and I think the answer is x^3-3x^2-x-3, but that just from looking at it. I'm not sure how to actually do the problem. Thanks for any help Click here to see answer by xcentaur(357)

 Question 16790: The polynomial f(x) divided x-3 results in a question of x^2-3x-5 with a remainder of 2. Find f(3). I basically factored (x-3)(x^2-3x-5) + 2 which I think gave me the polynomial for f(x) which is (x^3-14x+17)+ 2, since 2 was the remainder. I substituted 3 for x and came up with an answer of 5, but I don't think this is correct. I think it's suppose to be -5, but I'm not sure how that is or I could be wrong all together. Thanks for the help. Click here to see answer by rapaljer(4670)

 Question 16794: A rectangle is placed under the parabolic arch given by f(x)=27-3x^2 by using a point (x,y) on the parabola, as shown in the figure. Write a formula for the function A(x) that gives the area of the rectangle as a function of the x-coordinate of the point chosen. The figure is basically an arc with a square underneath it with the top left and right side of the square touching the arc on either side. There is a line drawn from the center of the top of the arc to the bottom. 0 is at the bottom of the center line and x is at the bottom of the right line of the square. (x,y) is at the top of the right side of the square. f(x) is on the left side of the arc and square. I know A=LxWxH. I'm not sure how to applies to A(x). Click here to see answer by rapaljer(4670)

 Question 16798: Find the polynmial f(x) of degree three that has zeroes at 1, 2 and 4 such that f(0)=-16. I think it should be f(x)=d(x-1)(x-2)(x-4) so d(0-1)(0-2)(0-4) = f(0) = -16 So -6d = -16 d = 8/3 I'm not sure if I'm right so far and not when I plugged things in to the equation above I didn't get anything remotely right. Please help. Thanks Click here to see answer by rapaljer(4670)

 Question 16800: Find the thrid degree polynomial whose graph is shown in the figure. the figure show a graph with a line coming up passing through -2 on x-axis, continuing up, then arcing down just to the left of the y-axis and then passing though 2 on y-axis then down to just touching 2 on the x-axis and then arcs back up. The bottom of the arc is right on 2. I'm not sure how to go about finding the third degree poly on this one. Thanks for any help. Click here to see answer by rapaljer(4670)

 Question 17440: y=x-x^3 graphing you utlity to verify my solution Click here to see answer by rapaljer(4670)

 Question 17689: Express the Area A of an isoceles triangle with a height of 8 inches and a base of b inches as a function of the length s of one of its two equal sides. I got this far A=1/2bh. b=A/4 P=s+s+b, 2s+A/4 now how do I find the A as a function of s? thanks Click here to see answer by venugopalramana(3286)

 Question 18615: peter wanted to draw a line parallel to the line of a window with equation y = x + 2.if the line is supposed to pass through point (2,3).what is the equation of the line desired by peter? Click here to see answer by venugopalramana(3286)

 Question 19929: please help with rationalize Rationalize the denominator. Assume that all variables represent positive real numbers and that the denominator is not zero. 2 ________ 9 - sqrt6 thanks, Click here to see answer by Earlsdon(6294)

 Question 19972: 5/C - C/C-7 = ? How do you solve this type of equation? Click here to see answer by glabow(165)

 Question 20016: -x^2-x+6/ x^2-4x+4 I do not understand how to simplify it after I get it to this... -x+6/ -5x+6 Click here to see answer by rahman(247)

 Question 20701: express the following rational expression in simplest form: 9 - x^2 _______________ 10x^2 - 28x - 6 Click here to see answer by longjonsilver(2297)

 Question 20751: need to solve and check the equation 15 / x + 9x-7 / x+2 = 9 This is 15 over x added to 9x-7 over x+2 equals 9 I know you need to find the LCD but I keep coming up with different answers Please help Click here to see answer by MORUPHOSUOLALE(24)

 Question 21277: Given the points: A(2,6) B(-4,10) C(8,15) Answer: A line perpendicular to AC, through A. Click here to see answer by Photonjohn(42)

 Question 21312: Okay i need to know how to solve this question, The U.S.S. Independence maintains a constant speed of 10 knots heading due north. At 4:00 pm the ship's radar detects a destroyer 100 nautical miles due east of the carrier. If the destroyer is heading due west at 20 knots, when will the two ships be the closet? (1 knot= 1 nautical mile) Click here to see answer by Photonjohn(42)

 Question 21892: find the value of the discriminant and describe the nature of the roots(real,imaginary,rational,irrational)of each quadratic equation.then solve the equation. x-squared+12x+32=0 Click here to see answer by Alwayscheerful(414)

 Question 22104: solve by graphing. (find the intersection point) 2x + y = 22 3x + 2y = 4 Click here to see answer by elima(1433)

 Question 22186: I am stuck on this problem. Jacob is standing at the edge of a 3000 foot deep canyon. He kicks a ball into the air with a initial upward velocity of 32 feet per second. when will the ball return to the height from which it was kicked? I can get it to , but i get stuck trying to factor that. Click here to see answer by Earlsdon(6294)

 Question 22190: How do I do this? [4(x to the 4th)over x squared -1]divided by [2(x cubed) over (x squared - 2x + 1)] Click here to see answer by Ultimatemagic(23)