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

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Question 195151: can you help me please with these questions. on page 363
#35, 36, 37, 38, 39, 40
Click here to see answer by Alan3354(30959)

Question 195165: Properties of logoritiris
I need help
Solve this equation
7. log7(3x+5)-log7(x-5)=log78
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Question 195192: Common logartithms
Express each logarithns in terms of common logarithms
Log463
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Question 195306: The lines below are perpendicular. If the slope of the green line is -1, what is the slope of the red line?
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Question 195315: Solve the Equation
x2+9x-36=0
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Question 195362: Write each equation in logarithmic form.
18. 7^3=343
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Question 195366: Evaluate each expression.
26. Log81^3
log81^3=y
81^y=3
I need help on sloving the rest of it, thanks
Click here to see answer by Alan3354(30959)

Question 195461: Could you please help me with this problem and tell me if these others are correct.
1. Multiply.
(sqrt12+2)sqrt(11)sqrt(12)2sqrt(11)
2.sqrt(25x^2) answer 5x
3. simplify
root3sqrt(-8x^3) answer -2x
Subtract, Simplplify by collecting like radical terms if possible.
4sqrt(45)9sqrt(5) answer 3sqrt5
Click here to see answer by Alan3354(30959)

Question 195457: Rewrite each function to make it easy to graph using a translation. Describe the graph.
[] means its in square root!! please help me
y=3[-27x-27]+4
y=[16x-32]
and can you tell me how many numbers did is shift right/left?? THANKS
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Question 195581: simplified expression.
(2x+4)/(3x-3)*(12x-12)/(x+5)
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Question 195715: I hope i picked the right section to put this problem in.
alright here is the problem, i am totally lost on how to do this:
(x/x+4) - (2/x-1) = (20/x^2+3x-4)
HELP!
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Question 195825: 2x/x+2-4=6/x How do you find the LCD?
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Question 195959: Divide:
[(2x^2 + 5x -12)/(9x^2 - 16)]/[(2x^2 - 7x + 6)/3x^2 - x - 4)]
Any help will be appreciated. Thanks
Click here to see answer by jim_thompson5910(28476)

Question 196008: I am stuck can you help me. Thank-you
1. Write a quadrtic equation in the variable x having the given numbers as solutions. Type the equation in standard form, ax^2+bx+c=0
Solution:10. only solution
The equation is _=0.
2.Write a quadratic equation in the variable x having given numbers as solutions. Type the equation in standard form, ax^2+bx+c=0
-sqrt7.8sqrt7
The equation is_=0.
Click here to see answer by stanbon(57219)

Question 196191: write a function that models each variation.
x=3 and y=12 when z=2. z varies directly with y and inversely with x.
Click here to see answer by Edwin McCravy(8880)

Question 196222: y=3x(x+2)/x(x+2)
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Question 196255: 4/5x * 1/5x
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Question 196269: solve x^4-13x^2+36=0
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Question 196268: find all rational zeros of p(x)= x^3-12x-16
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Question 196266: Simplify expression. assume that all variables are positive...
(27/8)^2/3
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Question 196251: 8a/3a * a/6a^2
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Question 196257: 2x+4/x (divided by) 3x+6/2
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Question 196256: 12/(m+6) (divided by) 9m/(2m+12)
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Question 196253: 5p^2/2p * 6/10p
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Question 196424: y varies inversely as x
and y = 120 when x = 8
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Question 196249: (6b+18)/b (divided by) (b+3)/b
Click here to see answer by ankor@dixie-net.com(15624)

Question 196550: Explain how we evaluate an algebraic expression for given values of the variables. How would we evaluate the expression "3x - 4y + 9" when x = 2 and y = 5?
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Question 196678: Please help me solve this equation by finding all zeros: f(x)= x^3-6x^2+4x-24
Click here to see answer by stanbon(57219)

Question 196678: Please help me solve this equation by finding all zeros: f(x)= x^3-6x^2+4x-24
Click here to see answer by jim_thompson5910(28476)

Question 196682: please help me solve: the cubic function whose graph is shown. (-3,0)(0,-7) (1,0) (3,0)
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Question 196760: Simplify each rational expression. State any restrictions on the variable.
1. 3x^2-12/x^2-x-6
I got 3(x-2)/(x-3) x cannot be equal to 3 and -2.
I'm not sure if my restrictions are correct. Could someone please check them?
Simplify each sum or difference.
4(x+3)/(x-1)(x+2) + (x-2)(x+3)/(x-1)
I got 4(x+3)+(x-2)(x+3)/(x-1) which is equivalent to 4(x+3)+x^2+x-6/(x-1)
I'm not sure if I did this correctly...
Could someone check?
Thank you!
Click here to see answer by RAY100(1637)

Question 196761: Solve each equation. Check each solution.
1. -x/4=2x/3
I got x=-5 and it is extraneous.
2.2x-4/x-5=0
I got x=-1 and it is extraneous.
Could someone please check these?
Thank you!
Click here to see answer by RAY100(1637)

Question 196714: An individuals income varies with his or her age. The following table shows the median income I of individuals of different age groups within the United States for 1997. For each age group, the midpoint represents the independent variable, x. For the age group "65 years and older," we assume that the midpoint is 69.5.
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Question 196775: 1. State any restrictions on the variables.

4x-2x^2/x-2
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Question 196771: Domain and Range of x squared minus
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Question 196794: ·

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Question 196788: A faucet can deliver water rapidly than a drain can remove it. IF the sink is empty, the drain and the faucet is opened then the sink fills in 4 minutes. The drain is able to empty a full sink in 2 minutes longer than the faucet can fill the sink when the drain is closed. What are the tines needed far each to fill or drain if it works alone?
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Question 196791: x2-2x-3
--------- (over)
x2-1
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Question 196791: x2-2x-3
--------- (over)
x2-1
Click here to see answer by edjones(7569)

Question 196710: For each rational function, identify any holes or horizontal or vertical asymptotes of its graph.
1. y=[1/x+4]-3
I got:
Holes: none
Vertical Asymptotes: x=-4
Horizontal Asymptotes: y=-3
For the horizontal asymptotes would it be -3 or 3? Or is it something completely different?
2. y=[3/x-1] -2
I got:
Holes: none
Vertical Asymptotes: x=1
Horizontal Asymptotes: y=-2
Would the horizontal asymptote be -2 or 2? Or something else?
Are these right?
I'm not sure if I am doing these type correctly
Thanks in advance for any help!
Click here to see answer by jim_thompson5910(28476)

Question 196861: Please help me simplify this rational expression:
Click here to see answer by Alan3354(30959)

Question 196861: Please help me simplify this rational expression:
Click here to see answer by jim_thompson5910(28476)

Question 196789: Suppose that the unit of manufacturing an electrical board varies proportionally with the number of components on it and inversely with the number produced. When 100 boards were produced with 10 componenets, they cost 1.00 each. Suppose we increase the component count to 15 and the number of boards to be produced to 200, what will be the unit cost?
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Question 196960: x/x-2 - x-5/5 = x-2/5
Click here to see answer by jim_thompson5910(28476)

Question 197085: solve the equasion by cross multiplying. check each solution
37) -2/x-1 = x-8/x+1
i tried it: -2x-2=x^2-9x+8 = x^2-11x+6=0 ???????
Click here to see answer by checkley77(12569)

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