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

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Tutors Answer Your Questions about Rational-functions (FREE)


Question 204101This question is from textbook
: x^2+x+sqrt(x^2+x)-2=0
radicals really confuse me i dont know where to start.
Thank you for your help
This question is from textbook

Click here to see answer by Alan3354(6097) About Me 

Question 203916: ``F(x)=1/5(x+5)^2+8
What is the vertex
the line of symmerty
what is the maximum/miniumum value of F(x)
Is the value of f(-5)=8 maixumum/minimum
and how would it look graphed.
Please Help, this is the only problem I am stuck on thank you''.

Click here to see answer by Earlsdon(4900) About Me 

Question 204250: How do you complete this function equation f(x)=-2x^2+8x-5. I need to find the vertex h,k , compute h and k and graph the quadratic equation. Plus find the max value of f where it occurs.
I started the equation and found h.
a=-2 b=8 c=-5, so using the ormula -b/2a I got -8/2(-2) which gave me -8/-4 which gave me 2. h=2. Where do I go from here?

Click here to see answer by nerdybill(2448) About Me 

Question 204290: could anyone out there help me out here: how many positive real roots and how many negative roots does the problem have; f(a)=a^5-4a^2-7 (using Descartes rule of signs?
Click here to see answer by jim_thompson5910(13794) About Me 

Question 204265: simplify by removing factors of 1
2p^2 + 2p/14p^2+4p

Click here to see answer by RAY100(1637) About Me 

Question 204599: Solve the rational equation
x + 1 = 5
_ _
x 2
and check

Click here to see answer by checkley77(7072) About Me 

Question 204762: Solve and Check the following rational equations

4 - 1 = 1
- - -
x+2 x x

Click here to see answer by stanbon(26297) About Me 

Question 204776: please solve and check rational Equation
1) 4/x+2-1/x= 1/x

2) 15/x-4=6/x+3
3) Find the two consecutive positive even Integers whose product is 168.

Click here to see answer by lazi(15) About Me 

Question 204940: the problem is. The percentage of law degrees earned by women has steadily increased over the past decade. The percentage for both women and men for various years are listed below.(these are the years the problem has listed) 1986, 1988, 1990, 1992, 1994, 1996. ( this is the percentage of women with law degrees for these years) 39, 41, 42, 43, 43, 44. ( this is the percentage of men with law degrees for these years) 61, 59, 58, 57, 57, 56.If you line the years up starting with 1986 verticaly and do the same with the percentage of women line up verticaly starting with 39 and do the same for the men line them up verticaly starting with 61. You should have three vertical rows. The first question ask? find f(t), the equation for the percentage of women with law degrees at t years since 1980. The second question? Find m(t), the equation for the percentage of men with law degrees at t years since 1980. The third question is? When will there be an equal percentage of men and women with law degrees? And the last question for this problem is? When will more women than men have earned law degrees? Pleas help me with this problem it is going to be on my final for monday. Thank you.
Click here to see answer by stanbon(26297) About Me 

Question 205055: Am I right with this answer to the following question-- What is the solution to the system of two equations, if the lines are parallel?
I say no solution. Is that correct?

Click here to see answer by stanbon(26297) About Me 

Question 205054: Can someone help me with the following problem: Solve the following systems of equatons algebraically. Be certain you have solved both variables in teh frist sytem of equations and all 3 variables in teh second system. 1, 5x+y = 5
3x-5y = -63
2. a+b+3c= - 8
2b-c=15
3a+2c=7.
This is the answer I got am I on the right track? 1. x= 4 and y = -1 2. a=77, b -8 and c= - 30. If I am wrong can you show me how you solved it? Thank you!!!!

Click here to see answer by stanbon(26297) About Me 

Question 205005: I am getting stumped on thi sproblem.
solve the system of equation by graphing, then classify the system.
4x+y=21
5x+6y=12

Click here to see answer by rfer(2688) About Me 

Question 205052: I really don't understand graphing can someone help me with this questions? Thank you
When graphing systems of inequalities, if the inequality, solved for y, is less than (<) or less than or equal (<=), the graph will be shaded?

Click here to see answer by stanbon(26297) About Me 

Question 205056: How many terms of the arithmetic sequence 2, 4, 6, 8, ... add up to 60,762? Can anyone help me with the answer and how you solved for it? I am confused and have gotten several different answers trying to do this problem. Thank you
Click here to see answer by scott8148(3385) About Me 
Question 205056: How many terms of the arithmetic sequence 2, 4, 6, 8, ... add up to 60,762? Can anyone help me with the answer and how you solved for it? I am confused and have gotten several different answers trying to do this problem. Thank you
Click here to see answer by MathTherapy(336) About Me 

Question 205149: Im confused on how to do rational equations and sadly its urgent this paper is due tonight so please help im desperate!!!!!!! My problem is: n^2/2 - 5n/6 - 2 = 0
Click here to see answer by Alan3354(6097) About Me 

Question 205147: z^2/8 - 7z/8 = 1 Can you please solve and show the work on how to slve this problem please
Click here to see answer by checkley77(7072) About Me 

Question 205151: i have an urgent question i dont know how to do ratioal functios that have an = sign in them!!!!! Will you please show me how to work out these two problems???? my problems are: x+1/2x = x-1/2x-1 and
2/m^2-3m-4 = 2/3m+12 - m/m-1

Click here to see answer by Alan3354(6097) About Me 

Question 205193: Given a zero x=2, of the polynomial: x^3-4x^2+21x-34=0, find the others.
Did I do this right?
x(x^2-4x+21)-34=0
x(x-7)(x+3)-34=0
x= -7 x= -3
If I am off base, can you show the correct way to do this problem? Thank you

Click here to see answer by edjones(3298) About Me 

Question 205296: Simplify this complex rational expression: 8 divided by x square minus 4x minus 21 minus 1 divided by x+3 then all of the above divided by 1 divided by x-7 plus 1 thank you :)
Click here to see answer by stanbon(26297) About Me 

Question 205315: Okay so I'm having problems solving graphs of exponential functions. I understand how to slove for my asymptotes, intercepts, and what happens with my change of base.....if i'm handed the f(x)= ect. but i don't know how to find my f(x)= etc. if im just given the graph. Can you help me??????? I'm seriously in deep trouble if I cant figure this out please hurry if you can!!!! If you have any questions just send me an e-mail. THANKS!!!!
Click here to see answer by rfer(2688) About Me 

Question 205439: one third of a store's inventory is children's clthing.two fifths of its inventory is women's clohting. what fraction of the total inventory is children's or women's clothing?
Click here to see answer by rfer(2688) About Me 

Question 203078: A farmer decides to enclose a rectrangular garden, using the side of a barn as one side of the rectangle. What is the mazimum area that the farmer can enclose with 80 ft of fence? what should the dimensions of the garden be to give this area?
the maximum area that the farmer can enclose with 80ft of fence is _sq ft.
The dimensions of the gardena to give this area is 40 ft by_ft.

Click here to see answer by rfer(2688) About Me 

Question 205630: I have a question about how to set-up a rational exponent equation. the equation is L=2.43*W^0.3326. The W is 17Lbs. I am trying to figure out how to do the problem.
Click here to see answer by checkley77(7072) About Me 

Question 205678: Which of the following are functions? The last two problems are multi part relations consider all parts when determining whether or not these relations are functions. Explain your reasoning for a,b,and c.
a. f(x)-x+5
b. f(x)-3 uf x+2 otherwise f(x)=-2
c. f(x)= 7 if x>0 or f(x)=-7 if x<0 or f(x)=7 or -7 if x=0

Click here to see answer by stanbon(26297) About Me 

Question 205748: Can you please help me with this problem. I do not know where to start. Thank you
x^3/2 =27

Click here to see answer by vleith(1977) About Me 

Question 205754: Can you please help me with this problem 3/4=1-3x-2/x+1
Click here to see answer by ankor@dixie-net.com(6693) About Me 

Question 205825: r≠ ±2, r² - 5r + 6/r² - 4
Click here to see answer by stanbon(26297) About Me 

Question 205898: (-27x^9)^1/3
Click here to see answer by stanbon(26297) About Me 

Question 205896: evaluate (-16)^1/4
Click here to see answer by stanbon(26297) About Me 

Question 206421: My question is how to multiply a rational expression for example.
(3/a^2+a)(2a+2/6)

Click here to see answer by stanbon(26297) About Me 

Question 206661This question is from textbook Precalulus with limits A graphing approach
: h(2)=t^(2)-2tThis question is from textbook Precalulus with limits A graphing approach

Click here to see answer by Alan3354(6097) About Me 

Question 206883: This equation includes the rational expression y-2 in the radical form, y-2 -8 and the expression +15=0.
I know I need to square everything to remove the radical sign, when you square though is the "8" squared that is infront of the expression.

Click here to see answer by jim_thompson5910(13794) About Me 

Question 206951: Build each rational expression into an equivalent rational expression with the indicated denominator. This is -7yt over 3x = ? over 18xyt.
_-7yt_=_?___
3x 18xyt

Click here to see answer by stanbon(26297) About Me 

Question 206952: Perform the indicated operations.This is in fraction form.
W^2 – 1 . w – 1
_________ _____________
(w – 1)^2 w^2 + 2w + 1

Click here to see answer by stanbon(26297) About Me 

Question 206857: I need help solving an Algebra problem concerning Rational Equations.
Here is the equation.
P=Po/t+1= P=4000/t+1 =
If a town has a population of 4000 how many years would it take the
towns population to decrease to 600?

Click here to see answer by Alan3354(6097) About Me 

Question 207147: -2a^2/3a^2*20a/15a^3 I have to multiply this but I am not sure if I'm supposed to delete the most common denominator. So this is where I get confused. Can you please help this 40 year old that's back in school. To hurry up the process of management. LOL
Thanks

Click here to see answer by scott8148(3385) About Me 
Question 207147: -2a^2/3a^2*20a/15a^3 I have to multiply this but I am not sure if I'm supposed to delete the most common denominator. So this is where I get confused. Can you please help this 40 year old that's back in school. To hurry up the process of management. LOL
Thanks

Click here to see answer by ankor@dixie-net.com(6693) About Me 

Question 207363: Is This a rational number
Please Explain Why or why not
X
--
Y, where x=9 and y=0

Click here to see answer by jim_thompson5910(13794) About Me 

Question 207401This question is from textbook Algebra 2
: How do I graph this problem can you give me detailed steps to solve and graph this problem? y=-2[x+9]+3 and can you also give me how i do this for other similar problems and thank you tutor for your time i appreciate it. (chapter 2 section 8)This question is from textbook Algebra 2

Click here to see answer by rfer(2688) About Me 

Question 207481: 2/3x + 1/4 = 11/6x - 1/3
Click here to see answer by jim_thompson5910(13794) About Me 

Question 207627This question is from textbook
: Determine the maximum or minimum value of the function P(x)= -3x^2+6x+5
I have no idea where to even begin figuring out this problem. I know the answer is either 1 min,max or 8 min, max. Any help will be greatly appreciated.
This question is from textbook

Click here to see answer by jim_thompson5910(13794) About Me 

Question 207647This question is from textbook
: Find the vertical asymptotes of F(x)= (3x+5)/(6x^2-x-2).
Would this problem be x=1/2, x=-2/3. or x-1/2, x 2/3
I am not sure about this one. Any help would be greatly appreciated. Thank you for your time and for your help.
This question is from textbook

Click here to see answer by jim_thompson5910(13794) About Me 

Question 208687: rewrite the following expression with positive exponents
(44xy)^-7/10

Click here to see answer by stanbon(26297) About Me 

Question 208686: find all numbers for which the rational expression is undefined
p^3-5p
______
p^2-49

Click here to see answer by algebrapro18(206) About Me 

Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690