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

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Question 124889: Could you please help me with the steps,in this kind of problem? I know that I have to solve each system graphically,but I have been sick and don't remember how to work them.Thank you in advance.LH
1) x-y=3
x+y=5
2)3x+y=5
x-2y=4
3)4y=x+8
3x-2y=6
4)x=y-1
2x=3y

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Question 124967: Find the horizontal and vertical asymptotes



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Question 124983: Consider the function f(x) = x^2 + 4x +1
Find h, the x-coordinate of the vertex of this parabola.

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Question 125031: Could you please help me with some problems on solving system graphically? I don't understand the steps,also could you show me how it suppose to look on paper.If you show me the steps right under each other,it doesn't help me to know how to do it on a test.The last step in which you are suppose to graph the two answers,I don't know how to tell where the two intersect.As you can see I need some major help.Thanks for your help in advance LH.
Here are a few practice problems my teacher gave us:
1)x-y=3,
x+y=5
2)3x+y=5,
x-2y=4
3)4y=x+8,
3x-2y=6
4)x=y-1,
2x=3y

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Question 125369: Sketch the polynomial and identify all intercepts, zeros, and asymptotes:
P(x)=(x^2+x+2)/2x-1
Thanks in advance!

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Question 125560: square root of 7 over the 5 square root of 7
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Question 125691: Hi again.
I have another question with my homework. This lesson is on solving square root and other radical equations. here's the question..
Solve each equation. Check for extraneous solutions.
(sqrt of 7x+2)-2=7x
Thanks so much!

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Question 125693: Hey The chapter im woring on is rational exponents. Could you help me simplify this expression with rational exponents in simplest form?
(-64a^9)^4/3
thank you

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Question 125693: Hey The chapter im woring on is rational exponents. Could you help me simplify this expression with rational exponents in simplest form?
(-64a^9)^4/3
thank you

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Question 125697: Hello
The chapter i am on is called solving square root and other radical equations. I have a question on my homework.
Here it is..
Solve each equation. Check for extraneous solutions.
(-2-x)^(0.5)-x=2
Thanks!

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Question 125715: Please help with this question, using mathcad I can plot it but I can't explain how which is the most important in the question:The question wants me to sketch a graph using this function.
f(x)=(x+1)/(x^2-3x)

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Question 125728: hi....so i really need help i just cant understan direct joint and inverse variations....so ok here is the problem.
Q: if y varies directly as x and y=9 when x=6, find y when x=8

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Question 125800: The probability is 1 in 4,000,000 that a single auto trip in the United States will result in a fatality. Over a lifetime , an average U.S. driver takes 50,000 trips. (a) What is the probability of a fatal accident over a lifetime? Explain your reasoning carefully. Hint: Assume independent events. why might the assumption of independence be violated? (b) why might a driver be tempted not to use a seatbelt "just on this trip"?
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Question 125833: Solve


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Question 125836: Simplify


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Question 125837: Simplify


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Question 125840: Simplify


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Question 125853: Hello,
Please find the x and y intercepts for the quadratic function f(x) =x^2 + x
Thanking you

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Question 125854: Please solve. given the function f(x)= 5x + 17 and f(x) =6x^2-7x-3 find the following (f/g)(x) and the domain of f/g

Thanking you

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Question 125852: Please help. Find the vertex and graph the quadratic function y =f(x)=6x^2-x-2
Thank you

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Question 125866: Hello
Please solve . Given the functions f(x) =5x + 17 and g(x)= 6x^2 -7x-3 find (f/g)(x) and the domain of f/g.
Sorry about the mixup.
Thanking you

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Question 125918This question is from textbook Elementary Functions
: If find
I know you need to solve for x but I can't remember how.



but I still have an x with the y??
Please help. I know the solution should be x = some equation where the equation cannot also have an x in it.
thank you
This question is from textbook Elementary Functions

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Question 126072: Hello,
Please graph the function y= f(x)= x+3
Thank you

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Question 126072: Hello,
Please graph the function y= f(x)= x+3
Thank you

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Question 126138: Help I do not understand this at all! Thanks so much for any help given.
It says find the function value f(x)=x3
f(-2)= ?

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Question 126314: Hi I am working on this problem. The section is on solving square root and other radical equations.
How do you do this?
(16x^8)^-0.75
thank you

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Question 126353: Please help!!!!!!
92) Sharing Cost. The members of a flying club plan to share equally the cost of a $ 2000,000 airplane. The members want to find five more people to join the club so that the cost per person will decrease by 2000. How many people are in the original group?

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Question 126459This question is from textbook
: The Speed of a B&M freight train is 14 mph slower than the speed of an Amtrak passenger train. The freight train travels 330 mi in the same time it takes the passenger train to travel 400 mi. Find the speed of each train. This question is from textbook

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Question 126685: A beeswax candle is made by repeatedly dipping the wick into the molten wax. Paraffin candles are usually made by pouring the molten wax into forms with wick shafts, and the wick is added as the last step. One type of beeswax candle burns up in 6 hours. Another paraffin candle of the same length burns up in 9 hours. If both candles are lit at the same time, how much time will pass before one is twice as long as the other?
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Question 126803: Could you please help me with this problem? Thank you in advance.
P(x) = -0.01x^3 + 52.92x + 4500
Find the optimal value of x=
Find the optimal value of P=

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Question 126813: y = x^3 – 3x^2
The critical value I got is: 2
The inflection value I got is: 1
Could you tell me if I figured these answers out correctly?
Thank you so much!

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Question 126835: I am trying to figure out the indefinite integral for: (the symbol of a long slim S comes first)
 (4x^2 + 3x – 5) dx
Also,
What is C(x) if C’(x) = 3x^2 – 4x + 7 and fixed costs are $500?
Thank you for your assistance with these questions.

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Question 126974: I got 3 for the absolute minimum for f(x) = x^4 – 4x^3 – 5. Is that correct?
Also, if you don’t mind, could you check this one to see if I got the right answer?
The area below y = 4 – x^2 over the interval [0, 2] is 8/3. Is this correct or not?
Thank you so much!

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Question 127038: Over which intervals are decreasing?
f(x) = x^3 – 12 x^2 + 36x + 1
I came up with (-6, -2), is this correct?

Also, I am trying to find the locations of the relative extrema for:
y = (x^2 + 5x + 3)/(x – 1)
I have been working on this one for some time and came up with
(4, 1), (-2, 13). Does this look correct?
Thank you so much for your guidance.

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Question 127174: I’m not sure if I have determined the correct value. Could you please check my answer?
(The symbol of a long slim S comes first) (4/x) dx over intervals (1, 3) = 4 Is that correct or did I miss something? Thank you
Also, would this formula (the symbol of a long slim S) e^x dx be completed at e^x or do I need to go farther?
Thank you so much for your help again. You folks are awesome!

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Question 127226: Write the following rule as a formula using function notation: Tuition cost in dollars is sixty-five times the number of credit hours.
Write the following rule as a formula using function notation: Tuition cost in dollars is sixty-five times the number of credit hours.
Thank you all, for your God given talent that helps us less fortunate.

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Question 127249: The answer that I have come up with is: (e -1).2:
The problem is what are the exact evaluation of, (integral sign), 2xe^(x^2) dx over the intervals (0, 1). I feel this is not correct, can you verify that for me please?
Also please, I have determined that In x is not the correct completion of the formula, (integral sign), (1/x). Is that correct, or should I do more research on this subject?
Thank you all, for your God given talent that helps us less fortunate.

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Question 127261: How do I complete the power rule for the integrals (inter sign) u^n du ?
Thank you all for your support!

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Question 127314: If I was to increase and concave the upward behavior of g(x) then this would be my results:
g”(x) <0 & g’(x)>0 Could you tell me if I got the answer correct? Thank you!

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Question 127345: I need help with this problem. I have answered it but I think I am wrong. Would someone please explain it to me. Thank you soooo much!
Suppose that an object is 100 pounds when it is at sea level. Find the value of C that makes the equation true. (Sea level is 3,963 miles from the center of the earth.)
r = 3963 and w = 100.

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Question 127403: I need some help. Can someone help me, please?
f+8/f-1 divided by 6f+48/f-2

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Question 127490: {5/x+2}-3/-x-2}
Simplify

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Question 127488: {x^-8x/x-2} + {12/x-2}
Simplify

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Question 127487: {x/x^+2x-15}-{3/x^+2x-15}
Simplify

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Question 127485:
x+3 + 8
----- ----
15 15
Simplify

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