Questions on Algebra: Polynomials, rational expressions and equations answered by real tutors!

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Question 120929: How do you simplify a^3-2a^2+2a-4/a^3-2a^2-3a+6? Could you please help me?
Click here to see answer by ankor@dixie-net.com(15645)

Question 121064: Simplify

m^6/7 divided by m^10/14

Click here to see answer by checkley71(8403)

Question 121111:
15/x-15/(x-2)=-2
Click here to see answer by checkley71(8403)

Question 121027: Smith bicycled 45 miles going east from Durango, and Jones bicycled 70 miles. Jones averaged 5 miles per hour more than Smit, and his trip took one-half hour longer than Smith's. How fast was each one treveling?
Click here to see answer by ankor@dixie-net.com(15645)

Question 121024: The acient Greeks thought that the most pleasing shape for a rectangle was one for which the ratio of the length to the width was 8 to 5, the golden ratio. If the length of the painting is 2 ft longer than its width, then for what dimensions would the length and width have the golden ratio?
Click here to see answer by checkley71(8403)

Question 121188: Solve the equation. 25y^2+20y+4=0
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Question 121190: factor completely. 10a^2+ab-2b^2
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Question 121189: Factor the polynomial. a^2-2a-35
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Question 121161: To estimate the size of the bear population on the Keweenaw Peninsula, conservasionists captured, tagged, and released 50 bears. One year later, a random sample of 100 bears included only 2 tagged bears. What is the conservasionist's estimate of the size of the bear population?
Click here to see answer by checkley71(8403)

Question 121192: A guy wire of length 50 feet is attached to the ground and to the top of an antenna. The height of the antenna is 10 feet larger than the distance from the base of the antenna to the point where the guy wire is attached to the ground. What is the height of the antenna?
Click here to see answer by checkley71(8403)

Question 121208: Solve the equation. w^3+5w^2-w=5
Click here to see answer by Earlsdon(6287)

Question 121206: Facor the polynomial. v^2-22v-75
Click here to see answer by jim_thompson5910(28536)

Question 121299: Factor polynomial by factoring out GCF. 2a^2-4ab^2-ab
Click here to see answer by stanbon(57282)

Question 121301: Solve equation. w^3+5w-w=5
Click here to see answer by stanbon(57282)

Question 121300: Factor polynomial. v^2-22v-75
Click here to see answer by stanbon(57282)

Question 121305: Solve the equation. w^3+5w^2-w=5
Click here to see answer by Nate(3500)

Question 121203: factor the polynomial by factoring out the GCF.
2a^2-4ab^2-ab
Click here to see answer by jim_thompson5910(28536)

Question 121160: Use the fomula 1/f=1/a+1/i to find the image distance i for an object that is 2,000,000 mm from a 250mm telephoto lens.
Click here to see answer by MathLover1(6625)

Question 121399: 2x3-3x2-5x
Click here to see answer by checkley71(8403)

Question 121403: 18+7y-y2
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Question 121402: 5y2+6y+1
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Question 121423: Classify the given numbers as real and rational, real and irrational, or complex.
a.) (2)1/2+2
b.) i
c.) 0
d.) 3-(-5)1/2i
e.) (100)1/5
f.) 30007
g.) (8)1/3
h.) 4+0i
Click here to see answer by stanbon(57282)

Question 121548: Can you please help me with this application problem?
The equation V= -3000t + 22,000 describes the value in dollars of a certain model of car after it is t years old. If a car is worth $13,000 substitute 13,000 into the equation to find the age of the car. Show equation and solve.
Click here to see answer by algebrapro18(206)

Question 121553: can you please help me solve this one.
One number exceeds another by 10. The sum of the numbers is 8. What are the numbers? What I had for the equation was x+x+10=8
Click here to see answer by algebrapro18(206)

Question 121546: I can't figure this one out, and you please help me?
A train ticket in a certain city is $1.50. People who use the train also have the option of purchasing a frequent rider pass for $18.75 each month. With the pass, each ticket costs only $.75. Determine the number of times in a month the train must be used so that the total monthly cost without the pass is the same as the total monthly cost with the pass. Show the equation and solve.
Click here to see answer by checkley71(8403)

Question 121543: I have tried to figure this one out and can't seem to do it. Can you please help me?
The height of the bookcase is 2ft longer than the length of a shelf. If 22ft. of lumber is available for the entire unit(including the shelves, but not the back of the bookcase), find the length and height of the unit. Show your equation and solve.
Click here to see answer by solver91311(16872)

Question 121615: how do i divide these two problems:

y^2-12y+20 /y-2

and 2x^2+7x+3 / 2x+1

i need the steps for these two problems by today january 21,2008 at 8:00pm

please its urgent
Click here to see answer by stanbon(57282)

Question 121678: i pretty much understand how to muliply rational expressions but im having trouble factoring this problem out. its been a while since ive done this
4x^2/9x^2 * 12/21x^3
Click here to see answer by checkley71(8403)

Question 121663: 2x/3=x/2+6
Click here to see answer by jainenderkapoor(61)

Question 121727: Can you please help me with this problem?
y1= 1/x+2, y2= 1/x-2, y3= 1/x^2-4, and the difference between 4 times y1 and 7 times y2 is the product of 11 and y3. Show equation and solve
Click here to see answer by stanbon(57282)

Question 121723:
(4x^2*y^3*z/yz)*x^2
Click here to see answer by checkley71(8403)

Question 121724: Can you please help me figure this one out? I have tried doing it but doesn't come out right.
y1=x, y2=6+x, y3= 3(x-4)/10x, and the sum of 8 times y1 and 4 times y2 equals y3. Show equation and solve.
Click here to see answer by stanbon(57282)

Question 121733: f(x) = 3x-5 / x+2 f ^ -1 (x) =

a) 2x+5 / x-3
b) -2x-5 / x-3
c) -2x-5 / x+5
d) 2x+3 / x-5
e) None of these
Click here to see answer by jim_thompson5910(28536)

Question 121737: 2) e^x + 2x = 7

a) 1.424
b) 7
c) -1.621
d) 3.814
e) None of these
Click here to see answer by jim_thompson5910(28536)

Question 121738: 3) In decomposing 8x-1 / (x+1)(x-2) one of the fractions obtained is:

a) 1 / x+1
b) 1 / x-2
c) 5 / x+1
d) 3 / x+1
e) 3 / x-2
Click here to see answer by jim_thompson5910(28536)

Question 121739: 4) How long will it take a sum of money to double at 5% per annum compounded continuously?

a) 5 years
b) 13.9 years
c) 16.4 years
d) 19.1 years
e) 12.5 years
Click here to see answer by jim_thompson5910(28536)

Question 121794: (1000/1000)*^0
I am unsure if the answer would be 1 or 0
Click here to see answer by checkley71(8403)

Question 121794: (1000/1000)*^0
I am unsure if the answer would be 1 or 0
Click here to see answer by solver91311(16872)

Question 121835: I need help with solving this inequality, please understand the question due to the symbols.
-5 (5x+5)<-30x-5
Click here to see answer by checkley71(8403)

Question 121841: I need help with solving this inequality

2(x+2)<3/4x-1
Click here to see answer by checkley71(8403)

Question 121941: I am really confused with negative exponents. I tried to work the problem. Please check and correct if needed. Thanks in advance!
64 1/2/16^-2
=16384.
I made 64 1/2 into a whole number and then divided by 16^-2.
Click here to see answer by Earlsdon(6287)

Question 121920: Solve for a.
6a(a+3) = 2a(3a+5)+16
Click here to see answer by jim_thompson5910(28536)

Question 121918: I have been working to solve the question:
Factor the following:
I have come up with . Is that answer right?
Click here to see answer by stanbon(57282)

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