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

Tutors Answer Your Questions about Rational-functions (FREE)

Question 571401: i still have problems with this...
6b-3/b+4
Click here to see answer by stanbon(48510)

Question 570933: how do i answer the question: list all possible rational zeros of each equation, with equations like x^3-7x+6=0? i have worked out the equation using synthetic division, but that takes too long, is there a faster way?
Click here to see answer by Edwin McCravy(6931)

Question 570598: I do not really understand how to do this...
sqrt(3x+17) - 5 = x

Click here to see answer by mananth(10539)

Question 570575: Solve the following equations.
Square root 2x+3-7=0
Click here to see answer by Alan3354(21550)

Question 570425: It takes 16 minutes to fill a tub with a stopper. It takes 20 minutes to empty a tub without a stopper. How long does it take to fill a tub without a stopper?
Click here to see answer by scott8148(5879)

Question 569433: i need help evaluating this expression. 1/81 to the -3/4
Click here to see answer by josmiceli(6772)

Question 569246: when you have a number in front of x and y... how do you find the slope?? how do you find the x and y intercept in an easy way?? how do you graph an equation that is in standard form?? EXAMPLE: 3x+2y=6 how do you graph it??
Click here to see answer by scott8148(5879)

Question 568941: (-2-x)^ 0.5 -x= 2
Click here to see answer by lwsshak3(2915)

Question 568687: Please Help. I'm horrible with radicals!
Simplify each radical expression. Use absolute value symbols when needed.
1.) ∛-27x^6
2.) √a^4b^2
3.) 5th root√-32s^15t^10
4.) ∜256y^8
5.) (2-√5)(2+√5)
6.) √48a^5b / √12ab
7.) √5(2√45-√5)
8.) 7/1-√3
9.) 5√32-7√8
10.) 2√15xy^3 x 3√30x^3y^2
Click here to see answer by KMST(578)

Question 568455: 2. Biologists want to set up a station to test alligators in the lake for West Nile Virus. Suppose that the costs for such a station are $2,750 for setup costs and $4.50 to administer each test.
a. Write an expression that gives the total cost to test x animals.
So far I have C(x)/x = 2750(4.5)/x...but I am not confident that is the right expression.
b. You can find the average cost per animal by dividing total costs by number of animals. Write the expression that gives the average cost per animal. x should be the only variable.
Wouldn't that be the answer I just stated above??
c. Find the average cost per animal for 10 animals, 100 animals, and 1,000 animals.
d. As the number of animals tested increases, what happens to the average cost to test the animals? Would the average cost ever fall below $4.50? If so, identify a value that supports your answer. If not, explain how you know.
e. How many animals should be tested for the average cost to be $9.50 per animal?
If I could understand the concept behind this rational expression exercise I can probably answer the last two (d and e) by myself. Am I right with my initial attempt at the expression? If not, can you please show me where I am wrong and explain it? Thanks in advance!
Click here to see answer by KMST(578)

Question 568293: 4/x^2+3x-10 how do you find the holes and graph this equation? What is the method to solving this step by step?
Click here to see answer by lwsshak3(2915)

Question 568277: Find the variation constant and an equations and variables where y varies inversely as x and y=9 when x=13
Click here to see answer by stanbon(48510)

Question 568222: Please help! Having so much trouble with these last 3 problems!
Divide and simplify.
4.) ∛270x / ∛10xy^2

Rationalize the denominator of each expression.
5.) √7x / √3

6.) ∛x^2 / ∛4''.

Click here to see answer by Alan3354(21550)

Question 568035: There are 1000 questions. What is the probablity of two people picking three questions and two of the questions being the same.
Click here to see answer by stanbon(48510)

Question 567927: x-1 over x squired +7x+6 + 4 over x squire-3x-4 + 14 over x squire+ 2x-24
Click here to see answer by mananth(10539)

Question 567808: factor 3x^3 +33x^2 +90x
Click here to see answer by Earlsdon(6098)

Question 567728: I have been working on this problem -4(8+5)-10 8/5 for awhile and I can not seem to understand it.
Click here to see answer by stanbon(48510)

Question 567287: I need help writing a polynomial function with rational coefficients in standard form with the given zeros 2,3,5.
Click here to see answer by htmentor(580)

Question 566830: without a calculator, sketch the following function. Make sure to label both the x and y intercepts. (Hint: find the zeroes and y-intercept in terms of c)
Click here to see answer by Alan3354(21550)

Question 566829: simplipfy
s-r over 1/r-1/s
Click here to see answer by jim_thompson5910(21667)

Question 566741: √a + √b = √(a+b)
is this true or false
i believe i am correct saying false as the radican are different even though the index are alike
Click here to see answer by Alan3354(21550)

Question 565932: x^2/3x+15-25/3x+15
Click here to see answer by Maths68(1140)

Question 565468: expand (2a-1)^4 by using pascal's triangle
andreajuni@yahoo.com
Click here to see answer by scott8148(5879)

Question 565050: No matter how hard i try to learn this lesson, I'm stumped. Please help.
Multiply.
1.) ∛4 x ∛2000

Simplify.
2.)∛-243x^3y^10

Multiply and simplify.
3.)√18x^3 x √2x^2y^3

Divide and simplify.
4.) ∛270x / ∛10xy^2

Rationalize the denominator of each expression.
5.) √7x / √3

6.) ∛x^2 / ∛4
Click here to see answer by josmiceli(6772)

Question 565028: I need help on functions... for example like this homework question. f(x)= 3x+5 and g(x)=x^2 my problem is what is the funtion for f(x)+g(x)
Click here to see answer by ad_alta(170)

Question 564851: Let ƒ(x) = 3x2 – 2x and g(x) = x – 6. Find the value of (f/g)(-1)
Click here to see answer by ad_alta(170)

Question 564628: Find all numbers for which the rational expression is undefined.
(p^3-7p)/(p^2-9)

Click here to see answer by ad_alta(170)

Question 564236: Let ƒ(x) = 3x2 – 2x and g(x) = x – 6.
(f/g)(-1)=
solve equations:
(4x-3)^3/2=8
(-2-x)^0.5-x=2
I am a mom trying to help my daughter and I just don't get it!
Click here to see answer by stanbon(48510)

Question 561394: how would you do this if the exponent is a negative such as something that looks like this 64^-2/3?
Click here to see answer by lwsshak3(2915)

Question 561931: Graph the relation y=2x^2-2 and it's inverse.
Click here to see answer by lwsshak3(2915)

Question 562701: when I have the equation square root of(x+5)=2*square root of (x-3) + 1 how do I start that?
Click here to see answer by lwsshak3(2915)

Question 562041: Rational Zero Theorem
How do you factor
f(x)= 4x^3-8x^2-29x-12
Click here to see answer by lwsshak3(2915)

Question 562736: what are the factors of 6x cubed + 6x squared - 2x -2?
Click here to see answer by lwsshak3(2915)

Question 562855: evaluate: 16 with 3/2 as an exponent

Click here to see answer by lwsshak3(2915)

Question 563811: Graph the following function using transformation. Find the vertical and horizontal asymptotes. state the domain and range
Click here to see answer by stanbon(48510)

Question 563792: please help me solve square root equation: sqrt(-8-3x)= 4
Click here to see answer by Alan3354(21550)

Question 563518: v^2-2v-24
Click here to see answer by fcabanski(385)

Question 563052: is f(x)=x(x-1) a polynomial function explain
Click here to see answer by richard1234(4789)

Question 563213: -2x=-2
Click here to see answer by Alan3354(21550)

Question 563194: Can I get help with understanding relations and functions?
Click here to see answer by stanbon(48510)

Question 562274: how do we solve 1125= a times 15625
Click here to see answer by Maths68(1140)

Question 562274: how do we solve 1125= a times 15625
Click here to see answer by issacodegard(60)

Question 561484: x^4-5x^2+4=0
Click here to see answer by scott8148(5879)

Question 561096: y= x^2+7x+10
....._________
.....x^2+17+16
find vertical asymptotes horizontal asymptotes, roots , y-intercept and sketch the graph
Click here to see answer by stanbon(48510)

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