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

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 Question 119878: I need your help. I am not the greatest when it comes to solving functions. x^2=1+y^2....is this a function or not is this correct? y=square root x-1 x-1>0 or x>1 domain [1,infin) range [0,infin) no function Is this correct? y=2x-3 2(1)-3=-1 2(2)-3=1 domain (2,1) range (1,-1) Please help. Click here to see answer by stanbon(60778)

 Question 119978: which set of ordered pairs represents a function? a.(3,4),(4,5),(5,6),(3,7) b.(3,6),(3,9),(3,12),(3,15) c.(3,4),(3,5),(3,6),(3,7) d.(3,4),(5,6),(7,8),(9,10) Click here to see answer by HyperBrain(694)

 Question 120155: How do i graph the function y=(1/2)to the x Click here to see answer by stanbon(60778)

 Question 120782: Pleas help me find the domain of the rational functions f(x)=3x-2/x-3. Thankyou. Click here to see answer by rapaljer(4670)

 Question 120911: the table shows the average fuel consumption ( in gallons) of a passenger car between 1970 and 1996 ------------------------------------------------- year,t(x)**0**5**10**15**20**25**26 ------------------------------------------------- average fuel consumption, **760**695**576**559**520**530**531 F(y) -------------------------------------------------- sorry for the above it is meaning to be a table telling the X and Y points and the stars are seperating the numbers so the question is 1) Write quadratic model for the average fuel consumption F, as a function of time T, where T is the number of years since 1970. i greatly appreciate the help Click here to see answer by scott8148(6628)

 Question 120979: the process is elimination by substitution. Equation(1) x+y over 2 minus x-y over 3 equals 8. Equation(2) x+y over 3 plus x-y over 4 equals 11 Click here to see answer by edjones(7794)

 Question 121441: y=3x-3 i don't understand how to work this problem out. Click here to see answer by checkley71(8403)
 Question 121441: y=3x-3 i don't understand how to work this problem out. Click here to see answer by stanbon(60778)

 Question 122093: ``Write a polynomial function with the given zeros. 1. -1,1,-6 2. 2,-2,-3 3. 2,1,3 4. 2,3,-3,-1 5. 0,-8,2 6. -10,0,2 Please help me. I really do not get this at all. Click here to see answer by Earlsdon(6294)
 Question 122093: ``Write a polynomial function with the given zeros. 1. -1,1,-6 2. 2,-2,-3 3. 2,1,3 4. 2,3,-3,-1 5. 0,-8,2 6. -10,0,2 Please help me. I really do not get this at all. Click here to see answer by solver91311(18785)

 Question 122288: I have three math problems I don't even know where to start. If you could help please. 1) sec x (csc x - cot x * cos x) = tan x 2) cos^2 x + tan^2 x cos^2 x = 1 For problems 1&2 x is theta 3) (cscx-sinx)^2= cot^2 x - cos^2 x Click here to see answer by algebrapro18(206)

 Question 122394: a child at a swimming pool jumps off a 12 foot platform into the pool. the child's height in the feet above the water is modeled by h(t)=-16t to the power of 2 +12, where t is the time in seconds after the child jumps. how long will it take the child to reach the water? if you can show me the work please thank you for your help Click here to see answer by stanbon(60778)

 Question 122391: a worker drops a hammer from the second-story roof that is 10 meters from the ground. if the hammer's height in meters above the ground is modeled by h(t)=-4.9t to the power of 2 +10, where t represents time in seconds after the hammer is dropped, about how long will it take the hammer to reach the ground/ if you can show me the work please thank you for your help Click here to see answer by scott8148(6628)

 Question 122933: (rad)1/6 im not sure if I can go any farther simplifying this, can i? Click here to see answer by jim_thompson5910(29613)

 Question 123073: Find the least common denominator for these two rational expressions. x/x^2-4 and 5x/x^2+3x+2 Click here to see answer by checkley71(8403)

 Question 123072: Find the least common denominator for these two rational expressions. x/x^2-4 and 5x/x^2+3x+2 Click here to see answer by checkley71(8403)

 Question 123107: Why is it especially important to check the possiable soutions to a rational equation? Click here to see answer by MathLover1(7480)

 Question 123248: Please help I am a little hung up on this one. Find the length of x in a triangle. Express yourself in simplified radical form. Left side of triangle: 10 Rigth side of triangle: x Bottom of triangle: 8 Click here to see answer by stanbon(60778)

 Question 123249: Please assist me with this problem. All I need is the formula I can work the problem. Thanks For the home described in excercise 15 (A homeowners would like to insulate her attic. The insulation comes in 40cm rolls that are cut to fit between the rafters. If the roof is 6m from peak to eave and the attic is 2m high at the peak. How long does each piece of insulation need to be?)if the roof is 7m from peak to eave and the attic space is 3m at the peak, how long does each piece of insulation need to be? Round to the nearest 10th. Click here to see answer by stanbon(60778)

 Question 123251: Find the distance between each pair of points. (-3,0) and (4,0)? Thanks Click here to see answer by stanbon(60778)

 Question 123259: 1. Graph the given function and show your work: f(x)=-2x-5 I'm confused on this one, because I thought I could just graph it and am wondering what work I am supposed to show. I looks to me like this is ready for graphing. 2. If f(x)=4x-3, find f(-1) Show your work 3. If f(x)=5x-1, find f(a-2) Show your work Thanks for your help! Click here to see answer by stanbon(60778)

 Question 123808: I need help on one of these questions. #'s 24-29 Click here to see answer by rapaljer(4670)

 Question 123869: Find the equations of the horizontal and vertical asymptotes for the following. Type none if the function does not have an asymptote. a) f(x)=2x+3/x+2 Answer: Horizontal: Vertical: b) g(x)=5x/x^2+1 Answer: Horizontal: Vertical: Click here to see answer by solver91311(18785)

 Question 123903: How do you factor out t to the fourth minus 16. The problem is t4 - 16 * t2 +1 over t4 - 1 t2+ 4 Click here to see answer by bucky(2189)

 Question 123838: Given f(x) = x^2 + 3x – 3, find f(0). Click here to see answer by ankor@dixie-net.com(16525)

 Question 124130: Consider the function f(x)=x^2+4x+1 Find h, the x-coordinate of the vertex of this parabola So I took -b/2a or -4/2(1)^2=-4/2 So I believe h=-2 The next part of the question is: Substitute the two integers immediately to the left and right of h into the function to find the corresponding y. Fill in the following table. Make sure your x-values are in increasing order in your table. x y _________ _________ h =__ _________ _________ Click here to see answer by bucky(2189)

 Question 124448: State the domain of the following: h(x)=3x^2+5x-3 m(x)=3/x^2+7 Any suggestions? Click here to see answer by rapaljer(4670)

 Question 124450: I know what the answer is (2252) but I do not know how to get the answer. Will someone show me the steps? To determine the number of deer in a game preserve, a conservationist catches 563 deer, tags them and lets them loose. Later, 924 deer are caught; 231 of them are tagged. How many deer are in the preserve. Thie does not come from a Algebra book. Click here to see answer by checkley71(8403)

 Question 124457: I have three more questions I cannot find the proper way of doing, though I do have the answers. These are npt from a book, it is from a study paper. 1.) Add (25d/2d-10)+(5d/10d-50) 2.)Subtract (5/(11-y^2-11y))-(2/(11y-11)) 3.)Find LCM of both (t^2-81)and(t^2+17t+72) Click here to see answer by edjones(7794)

 Question 124670: Suppose that the function P = 13+451n x represents the percentage of inbound email in the U. S. that is considered spam, where x is the number of years after 2000. Carry all calcualtions to six decimals on each intermediate step whne necessary. Click here to see answer by stanbon(60778)