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

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Algebra: Rational Functions, analyzing and graphing

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Question 145590: solve this proportion for the variable: x+2/x+6 = x-4/x-2
A) 7
B) -7
C) -10
D) 10
Click here to see answer by stanbon(26297)

Question 145591: Perform the indicated operations and simplify the following expression:
x+6/x^2-16 * 3x-12/3x+18
A) 0
B) 3 / 3(x+4)
C) 1/x+4
D) -1/x+4
Click here to see answer by jim_thompson5910(13794)

Question 145589: Simplify the expression
12a^2+26a+12 / 6-5a-6a^2
A) 2(6a^2+13a+6) / -(6a^2+5a-5)
B)-2
C)-2(3a+2) / (3a-2)
D) 2(3a+2) / (3a-2)
Click here to see answer by jim_thompson5910(13794)

Question 145600: divide the following expression:
(x^2+10x+21) / (x+7)
A) x^2+3
B) x-2
C) x+5
D) x+3
Click here to see answer by jim_thompson5910(13794)

Question 145601: perform the indicated operations and simplify the following expression:
9/y+3 + 2y/y+6
A) 2y^2-15y+54 /(y+3)(y+6)
B) 2y^2+15y+54 / (y+3)(y+6)
C)(2y+6)(y+9)/(y+3)(y+6)
D) -1
Click here to see answer by edjones(3298)

Question 145599: solve the following equation
3/z-3 + 5/z-1 = 8/z-2
A) z=-4
B) z=-6
C) z=4
D) z=6
Click here to see answer by edjones(3298)

Question 145697: Intermediate Algebra: Rational Expressions
For all r≠ ± 2, r^2 - 5r + 6 / r^2 - 4 = ?
Can you give me a really detailed explanation of how you get the answer? Thanks!
Click here to see answer by jim_thompson5910(13794)

Question 145693: Divide the following expression:
27z+23z^2+6z^3 / 2z+3
A) 3z^2+7z+3 and a remainder of -9
B) 3z^2+16z+3 and a remainder of 6
C) 5z^2+7z
D) 3z+7
Click here to see answer by stanbon(26297)

Question 145907: Simplify by removing factors of 1
48u^6z^9/18u^4z^4
Click here to see answer by jim_thompson5910(13794)

Question 146272: how do i do this? Simplify the following fraction by putting it in lowest terms or by performing the indicated operation.

Click here to see answer by Edwin McCravy(2922)

Question 146494: (3 - 7i)(2 + 4i),firstly,you expand it.(this is complex number),
(6 +12i - 14i +28 ) = 34 - 2i.ans(note: i^2 = -1.so -7i x +14i =28)
SOLVED BY JAMES(A.K.A, BOMBARD)
Click here to see answer by bombard_advmath(1)

Question 146497: 7z^6/10z^5
Click here to see answer by jim_thompson5910(13794)

Question 146499: 7-1/t=6/t^2
Click here to see answer by jim_thompson5910(13794)

Question 146498: z^2-7z+10/z^2+4z-45
Click here to see answer by jim_thompson5910(13794)

Question 146426: I am confused on how to solve this, can you please help? Thanks!

Click here to see answer by Edwin McCravy(2922)

Question 146533: If anyone could help me out with these graphing questions, I would REALLY appreciate it! I'm completely lost! Thank you so much!
Graph the equation:
a) y= 3x + 2
b) y= -x
c) y= 1/2x + 2
d) y= x+2
e) y= -1/4x - 1
f) y= 3x+3
g) -3y= 6x
h) -5x + 3y -15 = 0
i) 2x + y = 3
j) x-2y+2=0
If you could just show me how to do a few of these (like how to start them out) I think I'd be able to figure it out. I just wanted to give some examples of what I'm doing.
Click here to see answer by jim_thompson5910(13794)

Question 146549: Use product rule to multiply.
sqrt (72) * sqrt (2)
My solution was to multiply sqrt (72) *sqrt (2) = sqrt 144 which is simplified to 12. Not sure if it should be simplified to 144 or 12.
Thanks!
Click here to see answer by jim_thompson5910(13794)

Question 146548: Divide.
Sqrt (50) / Sqrt (-5)
sqrt of 50 divided by sqrt of -5.
I did the sqrt of 50 = 5 sqrt(2)
Sqrt (-5) = -5
Multiplied 5 and 2 to get 10. I came up with the solution of -Sqrt (10). Not sure if it is sqrt (10) or - Sqrt (10).
Hope I did not confuse you with my jibberish. Thanks!
Click here to see answer by jim_thompson5910(13794)

Question 146547: Use properties of exponents to simplify. Write with positive exponents.
x^3/7 * x^1/5 / x^-1/3
I am thinking we multiply the num/ dem. But I am not sure where to start honestly. Thanks!
Click here to see answer by oscargut(682)

Question 146661: w=Cr^-2
solve for r
Click here to see answer by Fombitz(2113)

Question 146500: c+3/2(k-77)
Click here to see answer by Alan3354(6097)

Question 146768: Re function f(x)=3x(squared)-x-2
If f(x)=-2, what is x?
Click here to see answer by jim_thompson5910(13794)

Question 146821: 10^1-x=10^4
Click here to see answer by Alan3354(6097)

Question 146789: If x=0.4 when y=840 and y varies inversely as x find y when x=2.4
Click here to see answer by edjones(3298)

Question 146791: 1/4 = 3 - 2x -1/x + 2
Click here to see answer by edjones(3298)

Question 147096: The question is to find the vertical and horizontal asymptote(s) of
f(x)= (x^3+8)/(x^2+4)

Click here to see answer by Fombitz(2113)

Question 147186: Please to find the inverse function of f in f(x)=3x+1
Thanks
Click here to see answer by jim_thompson5910(13794)

Question 147187: Let f (x)=|x-4| and g(x)+ 2.Find f o g and g o f
Thank you for help
Click here to see answer by stanbon(26297)

Question 147185: Please help me to find the inverse function of f in
problem f(x)=x^(2 ) ,x≥0
Thanks
Click here to see answer by nabla(412)

Question 147221: If Marc took 3 hours (h) to mow a lawn while Angelina took 150 minutes (min) to mow the same lawn a wek earlier. What would be the ratio of Marc's time to Angelina's time as a ratio of a whole number?
Click here to see answer by mangopeeler07(450)

Question 147272: Which of the following pairs of functions are inverse functions?
a. f(x)=3x-9, g(x)=-3x+9
b. f(x)=4-x, g(x)=4+x
c. f(x)=x+5, g(x)=x-5
d. f(x)=x, g(x)=-x
Click here to see answer by Nate(3495)

Question 147383: Find f+g, f-g, f/g, f*g, f(g)
f(x)=x squared + 4x-12 g(x)=x-2
Click here to see answer by oscargut(682)

Question 147300: find the indicated outputs for f(x)=5x^2-3x or f(x)=5x to the second power-3x.
f(0)=
f(-1)=
f(2)=
Click here to see answer by oscargut(682)

Question 147512: Find the equations for the horizontal and vertical asymptotes of the following. Type “none” if the function does not have an asymptote.
a) f(x)= 2x-3/x^2+2
Horizontal:
Vertical:
b) g(x)=5x/x-1
Horizontal:
Vertical:

Click here to see answer by stanbon(26297)

Question 147758: 3 5 8
--------- - --------------- = ----------------
x^2+4x-21 x^2- 8x +15 x^2+ 2x -35
Click here to see answer by jim_thompson5910(13794)

Question 148019: A. A school bus holds 57 students but is only 40% full. How many students are on the bus?
1. Explain why the answer of 22.8 students is unreasonable.
2. Give a reasonable answer in its place.
3. Explain why your answer is more reasonable.

B. The length of a rectangular field is 2 yards more than its width. Find the width if the area of the field is 120 yd2.
1. Explain why the answer of a width of –12 yards is unreasonable.
2. Give a reasonable answer in its place.
3. Explain why your answer is more reasonable.
Click here to see answer by stanbon(26297)

Question 148036: Find the length of a simple iterest loan with P = $640, r = 8.5%, and I = $95.20.
Click here to see answer by stanbon(26297)

Question 148086: Divide using long division: 6x^3 + 19x^2 + x - 10 / 2x - 1
Click here to see answer by Edwin McCravy(2922)

Question 148114: Simplify:

((x^(3/2))y^-3)^1/3 -------------------- ((x^(1/2))y^-6)^-1

Click here to see answer by jim_thompson5910(13794)

Question 148107: PLease help me with these math problem!! PLEASE, by today! PLEASEEE!!!
1. Simplify the rational expression:

4x(to the 2nd power)Y(to the 8th power)
_______________________________________
10x(to the 4th power) Y (to the 11th power)

2. Simplify the rational expression:
Y(to the 2nd power) + 8y-9
_________________________
Y(to the 2nd power) -1

3.Simplify the rational expression:
2-X
___
x-2

4. Multiply:
4x-12 x(to the 2nd power) +3X
_____ X ____________________
X 3X-9
5. Multiply:
6T(to the 2nd power) -4T-2 9T(to the 2nd power) +45T
_____________________ X ____________________ 3 3T(to the 3rd power) + T(to the 2nd power)

6. Divide:
3X(to the 2nd power) + 3X X(to the 2nd power) - 1
_____________________ / __________________
2 6X

7. Add or subtract as indicated ans simplify if possible:
29y + 12y
___ ___
14 14

8. Add or subtract as indicated ans simplify if possible:
T(to the 2nd power) -8 -4+13
__________________ - _______
T-3 T-3

9. Find the least common denominator of the rational expressions:
2 5 -2
__ __ ____
3x 14x(to the 3rd power) 7x(to the 2nd power)

10. Add:
11 x+8
_______________ + _____
2x(2nd power) +4x x+12

11. Subtract:
X 3-x(2nd power)
____ - ____________
x+10 x(2nd power) -100

12. Simplify the complex fraction using method I:
8a 6ab
____________ / ______
3b(2nd power) 5

13. Simplify the complex fraction using method II:
T-3T(-2 power)
____________
5-2T (-1 power)
14. Solve the equation:
y -1 + 1
_______ = ____

2y-4 y+2

15. Solve the equation:
t-2 t+17 1
____ = _____________ - _____
t-1 t(2nd power)-1 t+1
Click here to see answer by checkley77(7072)

Question 148115: Multiply: ((3x^(2/3)) + 2)^2
Click here to see answer by jim_thompson5910(13794)

Question 148119: Factor: (2x^(2/3)) - (5x^(1/3)) - 3
Click here to see answer by jim_thompson5910(13794)

Question 148121: Combine

4 --- - x^(1/3) x^(2/3)

Click here to see answer by jim_thompson5910(13794)

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