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

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Question 188982: Find [g*h](x) and [h*g](x)
12. g(x)=-2x
H(x)= x^2+3x+2
So this is what I've done so far but I need help solving for the other.
(G*h)=-2(x^2+3x+2)
-2x^2-6x-4
(H*g)

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Question 188981: What is the remainder when P(x)=3x^3-x^2+4x-9 is divided by x-1?
Working with the Remainder Theorm, couldn't find proper place to file; hope this is close enough!

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Question 188986: I have done understand exponents could you. 1.A launched rocket has an altitude, in meters, given by the polynomial h = vt -4.9t 2nd power, where h is the height, in meters, from which the launch occurs, at velocity v in meters per second, and t is the number of seconds for which the rocket is airborne. If a rocket is launched from the top of the tower 60 meters high with an initial upward speed of 30 meters per second, what its height be after 2 seconds?
Its height will be__ meters
(Round to the nearest tenth)
2. Add
(r-5s=2)+ (3r=4s) +(s=4)
3. Multipy
(3z-u)(7z + 5u)
4. Express using a positive exponent
1/ c-s
5. Convert to scientific notation
0.0000335
6. Convert to decimal notation
5.761 x 10 minus 8th power
7. The mass of Pluto is about 1.31 x 10 19th powers metric. The mass of the sun is about 1.988 x 10 27th power metric tons. About how many times the mass of Pluto is the mass of the sun? give your answer in scientific notation.
The mass of the sun is about ___times the mass of Pluto.
(Round to the nearest thousandth as needed. Use scientific notation. Use the multiplication system in the math palette as needed.)
8. Total revenue is the total amount of money taken in by business. An appliance firm determines that when it sells x washing machines, the total revenue, R, in dollars, is given by the polynomial R= 159.5x – 0.1x 2nd power. What is the total revenue from the sales of 112 washing machines?
The total revenue is $___
(Simplify your answer. Type an integer or a decimal.)
9. (3x +2)(3x +2)=
10. (-2x +3) (x +7)
help, been working on this all day.

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Question 188989: Find (f+g)(x), (f-g)(x), (f*g)(x)and (f/g)(x) for each f(x) and g(x)
2.f(x)=8x^2
G(x)=1/x^2

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Question 189110: I have a problem where I have to write an equation in function notation using this slope -5/8 (3,2)
I know I need to use the y-y=m(x-x) and I get F(x)=-5/8x +17/8, but teh book has -5/8x+31/8. Where is teh 31 coming from?

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Question 188930: Find (f+g)(x), (f-g)(x), (f*g)(x) snd (f/g)(x) for each f(x) and g(x)

3. f(x)= x^2+7x+12
g(x)= x^2-9

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Question 189136: This one is bogging me down. I need help.
Driving marathon. Felix drove 800 miles in x hours on Monday.
a) write a rational expression for his average speed.
b)On Tuesday, he drove for six hours at the same average speed. Write a rational expression for his distance on Tuesday.

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Question 189137: Please help!
Barn painting. Jasmine can paint a certain barn by herself in x days. Her helper Mindy can paint the same barn by herself in 2x days. Write a rational expression for the fraction of the barn that they complete in one day by working together. Evaluate the expression for x=5

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Question 189163: If 3(x-6)=24,what is the value of (x-6)to the 2nd power?
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Question 189166: I need to describe 2 places where rational expressions are used in the work place and describe in detail how they are used. I'm totally confused on these. Any help would be appreciated
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Question 189172: Please help! I just started this class and it has been over thirty years. Could you check them over please!
1. (y-2)(y2^+2y+4) ___
Type the terms in descending order
(My Answer) y2-8
2. (x^6-11x 3^ +30) divide (x 3^-5)
3. (x 8^-3) + (x 8^ + 3)
Simplify your answer
( My answer) x16^

4. (x5^+4)(x+6)
Type the term in descending order)
( My answer)x6^ +6x5+4x+24

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Question 189226: Please help..
Solve the inequality for x. Simplify your answer as much as possible.
-5x+14 is less than equal to -16
Thanks.

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Question 189254: Perform the indicated operation. Simplify the result.

x%5E2-4+over+x%2B3 multiplied by x%5E2+%2B+4x+%2B+3+over+2x+-+4
**Work I Tried do**
%28x%2B2%29%28x-2%29over+x%2B3 multipled by %28x%2B1%29%28x%2B3%29+over+2x-4
Thank You...

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Question 189272: I need help!
Directions: Perform the indicated operations to simplify each expression. If possible, final answers should be factored completely.
Problem:
3x+6 * 2x^2-18
____ _______
4x+4 x^2-x-6

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Question 189427: Create a rational function whose graph will have a horizontal asymptote at
y=-3

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Question 189444: Need some help with this problem. 159.5-0.1x^2=159.5(112)-0.1(112)(112)= I multiply 159.9(112) and got 17,864 now I need to substitute x for 112 could you please explain substitute. The second problem. The mass of Pluto is about 1.31x10^19 metric tons. The mass of the sun is about 1.998x10^27 metric tons. About how many times the mass of Pluto is the mass of the sun? Give your answer in scientific notation. The mass of the sun is about __ times the mass of Pluto. Round to the nearest thousandth as needed. Use scientific notation. Use the multiplication symbol in the math palette as needed. Could you explain scientific notation and math palette. Thank you!
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Question 189428: Write a rational expression that simplifies to 2/x-1
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Question 189482: 2x+y=-11

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Question 189430: Write two rational expressions whose sum is x+6/x-2
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Question 189429: Write two rational expressionss whose product is x-4/2x
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Question 189426: Create a rational function whose graph will have at least three verticle asymptotes and one hole.
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Question 189567: Please help me simplify this complex rational expression:
1+1/x
/
x-1/x
one plus one over x divided by x minus 1 over x

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Question 189603: A jet flew from New york to los angeles, a distance of 4200km. the speed for the return trip was 100km/hr faster than the outbound speed. if the total trip took 13 hours, what was the speed from new york to los angeles.
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Question 189655: Divide: assume all expressions are undefined
5x^6 over x^2 times y multiplied by 10x^2 over y

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Question 189652: Simplify : identify x values that make expression undefined.
5. 3x^2-9x-12 over
____________

6x^2+9x+3

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Question 189706: I have a homework question on an oblique asymptote. The question is:
f(x)=x^2+5x-4 over x+2. I got the V.A. x=-2 and the O.A. y= x+3. I got my y=1x+3. My question is the graphing part. I do not know which direction to graph and plot the points. Can you please help me?

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Question 189714: If a rock is thrown upward with an initial velocity of 40 feet per second from the top of a 30-foot building, write the height (s) equation using this information.
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Question 189724: For what positive number(s) is the sum of the number and its reciprocal the smallest?
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Question 189742: Identify any excluded values. Then simplify the expression.
9x^2-3x over 27(3x-1)^2

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Question 189865: Please help...
A swimming pool holds 540,000 liters of water. The pool has two drainage pipes. When the pool is completely full, the first pipe alone can empty in 150 minutes and the second pipe alone can empty in 225 minutes. Then both pipes are draining together, how long does it take them to empty the pool? _______minutes.

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Question 189865: Please help...
A swimming pool holds 540,000 liters of water. The pool has two drainage pipes. When the pool is completely full, the first pipe alone can empty in 150 minutes and the second pipe alone can empty in 225 minutes. Then both pipes are draining together, how long does it take them to empty the pool? _______minutes.

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Question 189866: This is a tough one. Please help.
Reduce the following expression to the lowest terms.
5w^2-25w-12 / w^2+6w+9

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Question 190055: please note that when it says D(o) it means that the o is a little number kind of like a base number.


The lens equation for a camera is 1/F=1/D(i) +1/D(o) , where f is the focal length of the lens, D(i)is the distance between the lens and d(o) the film, and is the distance between the lens and the object. For a certain camera, an object that is 18 cm from the lens is in focus when the lens is 9 cm from the film. What is the focal length of the lens?

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Question 190090: Find the equation of the quadratic function with vertex (6, -40) and passing through the point (3,50)
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Question 190265: Solve for the unknow.Which would be X.
0=2x(x²+1)ˉ½-1

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Question 190478: draw /1 through (-4,0) and (0,6) what is the slope of any line parallel to /1
draw /2 through the origin and parallel to /1

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Question 190450: Can you help me please? 3+over+x-3=+x+over+x-3+-3%2F2
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Question 190500: Could someone please tell me if these problems are correct. I am working on a test and I am unsure. Multiply and simplify. (7y)^7*(7y)^4 Answer y^11 s^3+14s^2+49s Answer s(s+7)^2 Simplify the expression (6^7)^4 Answer 10^21 Simplify: 1/3^-4 Answer 81. I am not sure about this can you explain d^3 when d=4. Please help! Thank you!
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Question 190789: 8%2F%28y%5E2-64%29-+%28y-5%29%2F%282y%5E2-15y-8%29
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Question 190789: 8%2F%28y%5E2-64%29-+%28y-5%29%2F%282y%5E2-15y-8%29
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Question 190857: What Computer Program is it talking about?
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Question 191058:
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Question 191112: The function, p(d) = 1 + d/33, gives the pressure, in atmospheres (atm), at a
depth d in the sea (d is in feet). Note that p(0) = 1 atm, p(33) = 2, and so on. Find the pressure at 120 feet. The pressure at 120 feet is ___ atm.
(type an integer or a simplified fraction)

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Question 191110: The function H described by H(x) = 2.75x + 71.48 can be used to predict the height, in centimeters, of a woman whose humerus ( the bone from the elbow to the shoulder) is x cm long.
Predict the height of a woman whose humerus is 36 cm long.
The predicted height of a woman whose humerus is 36 cm long is____cm

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Question 191335: I would really really appreciate any help I could get with the following.
R(x)=x^3-1/x^2-x-2
I know how to factor it, but need help with stating the domain and making a graph with labeled intercepts and asymtotes. Please help. Thanks.

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