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 50076: an equation stating that two retios are equal is what definition
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Question 50117: I have really been struggling with this chapter especialy section 5.6 Applications of Rational Expressions. I guess the story problems are wearing me down. could you please help me to see these in a better light? I tried setting it up however I know I am going about it wrong.
Sec 5.6 N 26
Science and medicine. A plane flies 720 mi against a steady 30-mi/h head wind and then returns to the same point with the wind. If the entire trip takes 10 h, what is the plane’s speed in still air?
(720/x+30)+ (720/x-30)=10

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Question 50305: How do you solve functions: f(x), I don't understand how to set it up
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Question 50432This question is from textbook Algebra 2 and Trigonometry
: Hello, I'm Alex, and having some difficulty with "American School" Homeschool work that I need in order to graduate high school. If you could please assist me in my attempt to complete it, I would be most gracious.
Here are a few of the problems:
1.Solve: 3(x-2)^2 =48
2.If y varies directly as x and inversely as z^2, and y=3 when x=2 and z=4, what is the value of x when y=9 and z=4?
3.Solve the equation x^3 + 2x^2 + x + 2 = 0, if -2 is a root
4.Given the equation x^3 - 2x^2 + x - 3 = 0, what are the possible rational roots?
5. Find the dimensions of a rectangle "a" with the greatest area whose perimeter is 30 feet.
6. Given the equation x^3 - 4x^2 + 2x + 1 = 0, find the irrational roots? (Use the quadratic formula to solve the depressed equation.
7. Approximate to the nearest tenth, the real root of the equation f(x) = x^3 - 4 = 0
This question is from textbook Algebra 2 and Trigonometry

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Question 50527: x-1/x-5 < x+6/x+3
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Question 50526: x-1/x-5 < x+6/x+3
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Question 50536: find y=log(x) if your domain is 0,1,2,3,4,5
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Question 50574: I don't understand the instructions given to me. They read as follows: Find the product of the polynomials.
1. (4x-1)^2
What I tried is multiplying (4x-1)(4x-1); my final answer was 16x^2-8x+1
I just don't know if that's what I'm supposed to do.

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Question 50746This question is from textbook
: Determine the domain and range of each relation.
y = 2x -3
This question is from textbook

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Question 50814: if f(x)=2x^-2 and g(x)= 3+x^2, find the rule of the function-3(f*g)(x)
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Question 50893: if f(x)=3x-2 and g(x)=x^2+1. find f(g(3))
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Question 50911This question is from textbook algebra 2, equations graphs and applications
: how would i graph this funtion?
f(x)= x+6, if x< or equal to -3
-2/3x-3, if x > - 3

This question is from textbook algebra 2, equations graphs and applications

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Question 50935: Please help me graph the function F(x)=x^3.
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Question 50951This question is from textbook Algebra 2
: y=4x+1 how do I graph this question?This question is from textbook Algebra 2

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Question 50951This question is from textbook Algebra 2
: y=4x+1 how do I graph this question?This question is from textbook Algebra 2

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Question 51049: Please help me write the perimeter P of a square as a function of the area.
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Question 51067: can u help me with some problems ???
1. 10+6(2-14)- - (5)=
2. 5+(2)power of 4 + -10(2) third power -.5=
3. (x+2) (x-3)=
4 (2x-1) 2 power =

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Question 51097: I have 14, 8ft railroad ties. I cannot cut these ties. I need to know the maximum area and dimensions of a rectangle using the uncut ties. So far I have:
2L+2W=112
L+W=56
W=56-L
A=L(56-L)
A=-L^2+56L
L=-b/2a=-56/2(-1)=28
I came up with max area =784'^2 and dimensions 28' x 28'. Then I realize that can't be right because I would have to cut the rr ties. How do I figure in the uncut ties?

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Question 51159This question is from textbook algebra 1, applications, graphs, and equations
: how would i graph this linear system, step by step, i dont know how to graph or how to get the coordinates, to graph the system?
the system is 2x+y=13
5x-2y=1
how would i put 2x+y=13 on a graph and 5x-2y=1 on a graph??
please if you could explain step by step for me??!!
thanks!
This question is from textbook algebra 1, applications, graphs, and equations

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Question 51361: nancy earns $500 for babysitting 80 hours. how much does she earn in cents per minute? round to the nearest cent.
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Question 50326This question is from textbook algebra 2
: graph the inequality in a coordinate plan: -x-y>-4This question is from textbook algebra 2

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Question 51586: what is the independent variable and the dependent variable of this situation.
the number of cars on the freeway and the level of exhaust fumes in the air

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Question 51865This question is from textbook amsco's mathematics b
: 2x^2+13x+6
2k^2-7k+6
2x^2+7x-4


(i need the answers to these questions)^
This question is from textbook amsco's mathematics b

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Question 51817This question is from textbook algebra 2 equations, graohs, and applicatiopns
: i have no idea how to graph a linear inequality, could you please help me solve this problem step by step!!
x+y> or equal to -2
-4x+y< or equal to -5
i dont know how to graph shade or plot the numbers could you please help me!!
thanks!!!
This question is from textbook algebra 2 equations, graohs, and applicatiopns

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Question 52093: Suppose you travel north for 35 kilometers then travel east 65 kilometers. How far are you from your starting point? North and east can be considered the directions of the y- and x-axis respectively.
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Question 52144: write the equation is standard form for the line that contains the given point with the given slope.
(1,0); m=3

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Question 52150: Graph the line by finding the x and y intercepts
3x+4y=9

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Question 52222: Find the equation you get when you move the unit circle up 3 units and left 5 units

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Question 52222: Find the equation you get when you move the unit circle up 3 units and left 5 units

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Question 52307This question is from textbook
: i need help solving this problem, g(x)=2x-1
a. find the domain of g
b. use the formula for g(x) shown in the graph to evulate g(-1) and g(2)
c. use the graph to evaulate g(-1) and g(2)
This question is from textbook

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Question 52349: Let f(x)=x^2+4, and g(x)=x-1 Compute (g 0 f)(x), (f 0 G)(x)
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Question 52350: solve equation: using LCD. Please show every step
9
______ = -2
2a-5

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Question 52348: Find the equation of the line through the point (4,1) which is parallel to the line 8x-9y=2
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Question 52358: What is the advantage to using rational exponents over the radical sign?
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Question 52381: How do you graph the equation (x+1/2)^2+ (y-1/3)^2=1
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Question 52347: If you reflect the graph of the unit circle over the line y=x what is the equation for the resulting gragh?
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Question 52385: Find the domain of the function f(x)= (x^2+4)1/2/x^2-4
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Question 52397: (sqrt(7)+sqrt(11)i)(sqrt(7)-sqrt(11)i)=a+bi write in standard form
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Question 52395: x^2+4x+7=0 find all real solutions and express in a+bi
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Question 52346: The graph of the relation y-x^2 = 1/2x+y is stretched vertically by a factor of 4 and stretched horizontally by a factor of 7. Give the equation of the relation described by this new geaph
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Question 52416: I am having a problem with 11/14 over 4 - 6/7. I know to use the Order of Operations: Parenthesis, Exponents, Multiplication, Division, Addition and Subtraction. Sometimes, I become stymied with some of the problems. Our professor doesn't explain the actual mechanics of a problem. I haven't been in school in 42 years.
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Question 52415: I am having a problem with 11/14 over 4 - 6/7. I know to use the Order of Operations: Parenthesis, Exponents, Multiplication, Division, Addition and Subtraction. Sometimes, I become stymied with some of the problems. Our professor doesn't explain the actual mechanics of a problem. I haven't been in school in 42 years.
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Question 52424: A right triangle is a triangle with one angle measuring 90°. In a right triangle, the sides are related by Pythagorean Theorem, where c is the hypotenuse (the side opposite the 90° angle). Find the hypotenuse when the other 2 sides’ measurements are 3 feet and 4 feet.
Answer:

Show work in this space

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Question 52469: Find the domain of the function algebraically:
f(x) = (x^2+ 4)^1/2

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Question 52420: The volume of a cube is given by V = s3. Find the length of a side of a cube if the Volume is 729 cm3.
Answer:

Show work in this space.

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