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

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Question 41624: Given that one zero of P(x) = x3 + 3x2 + 7x + 85 is 1 + 4i, which of the following is also a zero of P(x)?
(1) -1 + 4i (3) 4 + i
(2) 1 - 4i (4) -4 + i
Click here to see answer by venugopalramana(3286)

Question 41620: Determine the maximum number of zeros of the polynomial function:
f(x) = 3x2 – 2x - 2x3 – 3
Click here to see answer by venugopalramana(3286)

Question 41619: Use the Intermediate Value Theorem to show that the graph of the function has a zero in the given interval. Round the zero to two decimal places.
f(x) = 2x3 + x2 – x – 5; [1, 2] Please help
Click here to see answer by venugopalramana(3286)

Question 41745: Use synthetic division to divide: (4x4 - 4x3 – 8x – 13) ÷ (x – 2)
I really need some help thank you for your time
Click here to see answer by fractalier(2101)

Question 41843: Express the rational expression in lowest terms
/
Click here to see answer by fractalier(2101)

Question 41749: The data shows the number of times a cricket chirped in 1 minute and the temperature at the time of the chirps:
Temp (ºC): 18 8 15 14 10 7 14 6 14 9 14 13 15
# Chirps: 20 17 18 18 16 16 17 15 16 15 17 16 17
A linear model that approximates this data is N = 0.281t + 13.4 where N represents the number of chirps and t represents the temperature. Plot the actual data and the model on the same graph. How closely does the model represent the data?
I really need some help
Click here to see answer by tutorcecilia(2152)

Question 41950: find any rational roots for the equation x^3+x^2-4x+4=o
Click here to see answer by mbarugel(146)

Question 41964: Assume that y varies directly as x. If y =4 when x = 1/2, find y when x =2
Click here to see answer by mbarugel(146)

Question 41956: find any rational roots for the equation: 2x^3 - 5x^2 - 11x - 4 =0
Click here to see answer by psbhowmick(529)

Question 41966: Assume that y varies inversely as x. If y = 3.2 when x =0.2, find y when x =1.6
Click here to see answer by fractalier(2101)

Question 41965: Assume that y varies inversely as x. If y =4 when x = 1/2, find y when x =2
Click here to see answer by fractalier(2101)

Question 41963: Assume that y varies directly as x. If y =3.2 when x=0.2, find y when x =1.6
Click here to see answer by fractalier(2101)

Question 41960: find any rational roots for the equation: 1/3x^3 - 1/2x^2 + 1/3x + 1/3 =0
Click here to see answer by fractalier(2101)

Question 41962: Assume that y varies directly as x. If y =4 when x =1/2, find y when x =2
Click here to see answer by fractalier(2101)

Question 41955: find any rational roots for the equation: x^4 + 3x^2 - 8x + 10 =0
Click here to see answer by fractalier(2101)

Question 41954: find any rational roots for the equation: x^4 + 3x^3 - x^2 - 9x - 6 = 0
Click here to see answer by fractalier(2101)

Question 41957: find any rational roots for the equation: 4x^4 + 4x^3 + 17x^2 + 16x + 4 =0
Click here to see answer by fractalier(2101)

Question 41959: find any rational roots for the equation: 6x^4 - 7x^3 + 8x^2 - 7x + 2 = 0
Click here to see answer by fractalier(2101)

Question 42359: I=E over R plus r,R
I need to know what the R is.
Thanks
Click here to see answer by wuwei96815(245)

Question 41607: A nurse preparing a saline solution mixes 150 ml of a 20% solution with x ml of an 80% solution. The concentration of the final solution is given by: C = (4x + 150) / 5(x + 150). Find the concentration after 170 ml of the 80% solution are added.
Thanks everyone
Click here to see answer by Nate(3500)

Question 43021: The last three problems of my HW are stumping me and I've been working on them for 2 hours.
Can you solve them but show me the steps you took to get there?
Thanks
(1)Solve for x, y, and z
8x-y+z=41
4x+2y-3z=42
x-3y+2z=-11
(2)Solve for x, y, and z
x+y+z=0
2x+4y+2z=-4
-x+8y-3z=-16
(3)Solve for x, y, and z
x+y+z=-4
2x+5y+2z=4
-x+8y-3z=50
Thank you
Click here to see answer by mszlmb(115)

Question 43118: how do i do this problem......how do i find the partial fraction decomposition for the rational expression.
-2x^2+4x-7
__________
(x^2+4)^2
Click here to see answer by fractalier(2101)

Question 43140: x+y+z=-3
2x+5y+2z=-12
-x+9y-3z=-11
Click here to see answer by psbhowmick(529)

Question 43227: Divide and Simplify: 5x - 7 ----------- 25x² - 49 ---------------- 5x² + 27x + 28

Click here to see answer by AnlytcPhil(1276)

Question 43226: Multiply and Simplify:
x^2-7x+12 * x^2+6x+8
_________ __________
x^2-6x+8 x^2-x-6

Click here to see answer by tutorcecilia(2152)

Question 43426: whats the simplest form for this?
r^2-5r+6/r^2-4=
Click here to see answer by jmg(22)

Question 43514: Simplify the rational expression:
x2 + 3x – 10
_____________
x2 + x – 20

Click here to see answer by Nate(3500)

Question 43513: Simplify each radical expression by rationalizing the denominator. All variables represent positive real numbers.
√8
____
√xy

Click here to see answer by Nate(3500)

Question 43512: Simplify and combine like radicals. All variables represent positive numbers.
√2 - √8

Click here to see answer by Nate(3500)

Question 43508: Simplify each rational expression when possible.
(a-b)(d-c)
__________
(c-d)(a-b)

Click here to see answer by Nate(3500)

Question 43516: Simplify:
√[121x12y16z6]

Click here to see answer by jake_6233(74)

Question 43556: Hi
I would appreciate help on this problem that has me against a wall.

The annual incomes of 5 vice presidents of TMV industries are $125,000 ; $128,000; $133,000 and $140,000. Consider this a population
what is the range
what is the arithmetic mean income?
what is the population variance? the standard deviation?
Thank you a million times over for your help
Click here to see answer by stanbon(57205)

Question 43589: I am having trouble when I get to near the bottom of the answer. I will show what I have.
y/ y+7 + 7/y+7 =8 LCD: y+7
y+7 (y/y+7) + y+7 (7/y+7) = y+7 (8)
I cross out the y+7 on the first set which makes it (y)
I cross out the y+7 on the second set which makes it (7)
for the = part, I see that it should be y+56
am I doing it right so far? If so, can you please help me with the rest because I am totaly lost.
Click here to see answer by Nate(3500)

Question 43590: At the end of my equation of: 4y/y-10 +1 = 3y/y-10 LCD: y-10
After all my multiplications I got 4y + y - 10 = 3y
Does it end up the 4y + y =5y then - 10 = 3y
5y - 10 = 3y
After adding the 10 to the right side we have 5y = 3y + 10
How am I going to get my Y's on one side? What one of them do I subtract?
Maybe 5y - 3y = 10 ?
then have 2y = 10 ?
If so, do I divide the 10 by 2, to get y = 5 ?
Click here to see answer by Nate(3500)

Question 43591: Could you please help me with this equation because the numbers seem out ragous and the end does not make much sense to me, therefor I don't think I did it right.
x/15 + 17x/9 =x/12 I found the LCD to be 180
so we have 180(x/15) + 180(17x/9) 180(x/12)
1. 180 and 15 cancel out to be 12
2. 180 and 9 cancel out to be 20
3. = 180 cancels out to be 15
I then have 12x + 20(17x) = 15x
12x + 340x = 15x
352x = 15x
I don't know if I am suppose to divide the 15 and 352, or something totaly different. Could you please show me how the ending is supose to work.
Thanks!
Click here to see answer by Nate(3500)

Question 43592: I am very confussed on a problem, I barel even know where to start.
A/BH = 1/2 I am solving for H. I am very confussed, I know the LCD must be 2BH. I am just wondering how I am going about this.
Click here to see answer by aaaaaaaa(138)

Question 43637: In my denominator, for a LCD I don't know if I am suppose to combine the LCD to be (a-9)(a+6) since their is a negative AND positive. Could you please help me.
equation: -2/a-9 = 3/a+8
Click here to see answer by Nate(3500)

Question 43632: I am trying to solve for (p)
I have no clue what to do, seeing as their is a LCD of 28, so far I have:
my equation is m^/7 - n/2 = p/4
So far this is how far I have got before I got confussed.
28(m^/7) - 28(n/2) = 28(p/4)
4(m^) - 12(n) = 7(p)
So my question would be, how do i get the (p) alone?
Click here to see answer by Nate(3500)

Question 43690: Perform the indicated operations:
4√[50] + √[32] – √[18]

Click here to see answer by stanbon(57205)

Question 43691: rationalize the denominator: 7 --------- √3 – √2

Click here to see answer by stanbon(57205)

Question 43691: rationalize the denominator: 7 --------- √3 – √2

Click here to see answer by AnlytcPhil(1276)

Question 43703: I am having trouble with a new set of problems. The equation is:
x+1/2x+3 = 2/3
I was having help but I can't remeber it all right now. So far I went to
(2x+3)(x+1/2x+3 = 2/3 (2x+3)
x+1 = 2/3 (2x/1) + 2/3 (3)
4x/3 + 6/9- 1
What do I need to do to finish this equation?
Click here to see answer by jake_6233(74)

Question 43704: I am looking at examples in my book for this equation, but since the (x) is on the top instead of the bottom, I am confussed. here is the equation:
x/16 = 18/8
I think the LCD would be 8, considering 8 goes into both denominators.
(8)(x/16) = (8) (18/8)
x/2 = 18/1
Where am I going from here?
Click here to see answer by jake_6233(74)

Question 43768: Solve the system:
5x - 3y + z = -6
x + 3y - z = 0
4x + y + z = 7
Click here to see answer by checkley71(8403)

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