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

Algebra ->  Algebra  -> Polynomials-and-rational-expressions -> Questions on Algebra: Polynomials, rational expressions and equations answered by real tutors!      Log On

Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!
Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!

   


Tutors Answer Your Questions about Polynomials-and-rational-expressions (FREE)


Question 32050This question is from textbook
: Can you help me factor this polynomial 225 x 2 k - 196 y 2 k PLEASEThis question is from textbook

Click here to see answer by Earlsdon(4898) About Me 

Question 32096: I need help figuring this one out
2x + 12 over 7y multiplied by x squared + 9 over x squared + 12x + 36

Click here to see answer by mukhopadhyay(490) About Me 

Question 31711: Please Help Me Solve:
An investment has been growing at a rate of 8% per year and now has a value of $ 8500. What was the value of the investment, to the nearest dollar, 4 years ago.
Using A=P(1+t)r

Click here to see answer by checkley71(8405) About Me 

Question 32137This question is from textbook INTERMEDIATE ALGERBRA
: THE BOOK ASKS TO FACTOR THIS PROBLEM OUT AND I GET AN ANSWER THAT DOES NOT CHECK OUT WHEN I TRY TO GO BACK AND CHECK IT.
THANKS FOR YOUR HELP
LATANYA
This question is from textbook INTERMEDIATE ALGERBRA

Click here to see answer by stanbon(26259) About Me 

Question 30089: Use the factor thoerem to determine whether t+4 is a factor of f(t)= 5t^4 + 16t^3 - 15t^2 + 8t + 16.
What i did was subsituted -4 for t and put it in the equation and get zero which means t+4 is a factor of f(t)

Click here to see answer by mukhopadhyay(490) About Me 

Question 32095: Solve h=3a-c over m for the letter a
Simplify [5+ 3/(x-8)]/[2-1/(x-8)]
Factor k^3-21k^2 +90k
Factor 48ax + 72x + 14a +21
Help! Thank you.

Click here to see answer by stanbon(26259) About Me 

Question 29990: Hello,
Is this correct?
50a^14b^-3/10a^7b^-9c^7=5a^7b^6/c^7

Click here to see answer by checkley71(8405) About Me 

Question 32221: Write a polynomial to represent the value of t ten-dollar bills, f fifty-dollar bills, and h one-hundred-dollar bills. Please help, I have no idea what they're asking.
Click here to see answer by checkley71(8405) About Me 

Question 32232: The height above the ground of a ball thrown up with a velocity of 96 feet per second from a height of 6 feet is 6+96t-16t square feet, where t is the time in seconds. According to the model, how high is the ball after 7 seconds. I tried puttung 7 in the place of t and came up with a negative number.
Click here to see answer by stanbon(26259) About Me 

Question 31730This question is from textbook College Algebra
: I tried all day to figure the solving process out but got so frustrated and brain dead, that I knew I better punt this one to a person who really knows his stuff t+o help me.
I hope someone can reply back to me before Thursday morning(3-30) as this take homne quiz has to be turned back in then.
Please help me solve this equation:
(4ax-2by=2cx+5)
Thnk You very Much.
Robert Svetman
This question is from textbook College Algebra

Click here to see answer by stanbon(26259) About Me 

Question 32238This question is from textbook Introductory Algebra
: Factor 48ax + 72x + 14a + 21
write 0.0000000000675 in scientific notation
Simplify (2x-5)2
Factor 18x squared + 50
A few problems I am stomped on Thank you!
This question is from textbook Introductory Algebra

Click here to see answer by stanbon(26259) About Me 

Question 32275: A small airplane travels between two cities A and B, 600 miles apart. When going from city A to city B, the plane encounters headwind and reaches city B four hours after leaving. With the wind the return trip takes three hours.
What is the airspeed of the plane? What is the speed of the wind?

Click here to see answer by Paul(988) About Me 

Question 32277: Two kilograms of Columbian coffee are mixed with 1 kilogram of Brazilian coffee to produce a mixture selling for $7.00 a kilogram. If 3 kilograms of Columbian coffee were mixed with 2 kilograms of Brazilian coffee, the mixture would sell for $6.90 a kilogram. What is the value of a kilogram of each type of cofee?

Click here to see answer by mukhopadhyay(490) About Me 
Question 32277: Two kilograms of Columbian coffee are mixed with 1 kilogram of Brazilian coffee to produce a mixture selling for $7.00 a kilogram. If 3 kilograms of Columbian coffee were mixed with 2 kilograms of Brazilian coffee, the mixture would sell for $6.90 a kilogram. What is the value of a kilogram of each type of cofee?

Click here to see answer by checkley71(8405) About Me 

Question 32279: Please help me solve this equation:
Multiply. (2x^2+4x-5)(x^2+3x+3)
Answers:
(A) 2x^4+6x^3+13x^2-3x-15
(B) 2x^4+10x^3+13x^2-3x-15
(C) 2x^4+10x^3+18x^2-3x-15
(D) 2x^4+6x^3+18x^2-3x-15
The only thing I could think of to solve is FOIL but I did not get any of the answers listed. Thanks

Click here to see answer by mukhopadhyay(490) About Me 
Question 32279: Please help me solve this equation:
Multiply. (2x^2+4x-5)(x^2+3x+3)
Answers:
(A) 2x^4+6x^3+13x^2-3x-15
(B) 2x^4+10x^3+13x^2-3x-15
(C) 2x^4+10x^3+18x^2-3x-15
(D) 2x^4+6x^3+18x^2-3x-15
The only thing I could think of to solve is FOIL but I did not get any of the answers listed. Thanks

Click here to see answer by mbarugel(146) About Me 

Question 32276: 29.50(1096-n) + 35.40n = 37
Click here to see answer by mukhopadhyay(490) About Me 
Question 32276: 29.50(1096-n) + 35.40n = 37
Click here to see answer by checkley71(8405) About Me 

Question 32282: 9y^2+18y+8
Click here to see answer by checkley71(8405) About Me 

Question 30943: PLEASE help me with these problems. Thanks.
1. The volume of the box is represented by (x^2+5x+6) (x+5). Find the polynomial that represents the area of the bottom of the box.
Add or subtract as indicated.
2. 2/5w+10 - 3/2w-4
3. 3/x^2+4x+3 - 1/x^2-9
4. 4y/y^2+6y+5 + 2y/y^2-1
Thanks again!

Click here to see answer by checkley71(8405) About Me 

Question 32293: simplify reduce
sqrt of 54x^8

Click here to see answer by mukhopadhyay(490) About Me 

Question 32292: simplify/reduce
x^2/x^2-4
all minus
x+2/x-2

Click here to see answer by mukhopadhyay(490) About Me 

Question 32311: Karen and John both inherited equal amounts of money and decided to invest them in two different banks
One investment earns 5% and the other 7%
John invested part of his money at 5% and the rest 7% After a year his investment earned him $2700
Karen invested at 5% the amount John ivested at 7% She also invested 7% of the amount that John invested at 5% Her investment earned her $3300 after one year
How much did Karen invest at
5%
7%
How much did John invest at
5%
7%

Click here to see answer by mukhopadhyay(490) About Me 
Question 32311: Karen and John both inherited equal amounts of money and decided to invest them in two different banks
One investment earns 5% and the other 7%
John invested part of his money at 5% and the rest 7% After a year his investment earned him $2700
Karen invested at 5% the amount John ivested at 7% She also invested 7% of the amount that John invested at 5% Her investment earned her $3300 after one year
How much did Karen invest at
5%
7%
How much did John invest at
5%
7%

Click here to see answer by checkley71(8405) About Me 

Question 32309: ``Mr. Rahami invested $15,000, a part at 8% and the rest at 11%. If his
yearly income from these investments is $1335, how muchdid he invest at
each rate ( assuming simple interest)?''.

Click here to see answer by mukhopadhyay(490) About Me 

Question 32339: The sum of a number and 4 times its reciprocal is 25 over 6...

equation is: X+4(1/X)+25/6... but how do I solve this?
Thank you!

Click here to see answer by checkley71(8405) About Me 

Question 32351: Factor completely: x^2 - 6wy + 3xy - 2wx
I know I have to factor by grouping, but I can't get it. This is what I have:
x(3y - 2w) - 6(wy)

Click here to see answer by stanbon(26259) About Me 

Question 32373: Please help with this problem. x+y+z=5 Needs to be turned in tomorrow.
2x+y-2z=-5
x-2y+z=8

Click here to see answer by stanbon(26259) About Me 

Question 32385This question is from textbook
: This is one of my daughters homework problems. I can not find an example in the text that she can apply to the problem, Can someone please explain the necessary steps.
Northern maywood voted 60% to 40% in favor of a water project. Southern maywood voted 90% to 10% against the project. The project passed 55% to 45%. If 5900 people voted how many were from southern maywood.
This question is from textbook

Click here to see answer by venugopalramana(3286) About Me 

Question 32316This question is from textbook Beginning Algebra
: I am having difficulty in understanding the concept of factoring polynomials. I am having trouble with several problems, so I think the difficulty lies in the lack of understanding on my part of factoring. I have a problem from the Fourth Edition of Beginning Algebra by K. Elayn Martin-Gay by Pearson, Prentice Hall. Here is a couple of the problems that I am having difficulty with. I hope that you are able to help me understand them. Thank you!
These actual problems are from a worksheet from class. The instructions state:
Factor each trinomial. Be sure to "FOIL" your answer and check the middle term when trying number combinations.
1). 7x^2 - 18x + 8 =
(7x - 4) (x - 14) = This is where I get lost.
2). 5x^2 - 9x + 1 =
(5x - ? ) (x - ? ) = Since no two factors equal 9, I'm confused and don't
know how to even begin this one.
3). 7x^2 - 8x + 1 =
(7x - 7) (x - 1) =
I can't seem to get any further with these problems. Hope you can help me. Thank you.
This question is from textbook Beginning Algebra

Click here to see answer by venugopalramana(3286) About Me 

Question 32438: Please help answer the following problem.
(x+1)^3 - (x-1)^3
This is what we have so far: (x+1)(x+1)(x+1) = x^3+3x^2+3x+1
However, we are confused about how to handle the subtration between the two expressions in parenthesis that needs to be cubed. Please provide a detailed description, because we have several problems with this same format.
Thanks so much!!

Click here to see answer by venugopalramana(3286) About Me 

Question 32440: I have another problem that I need some help. My first response was extremely helpful.
Here's my problem:
(x^2-3x+1)^2 - (x^2+5x+1)^2
What we have so far is: (x^2-3x+1)^2 = x^4-6x^3+11x^2-6x+1.
Confused about how to handle the subtraction sign for the following expression. Should it be distributed out throughout the problem? Thanks very much for your help!

Click here to see answer by mukhopadhyay(490) About Me 

Question 32464This question is from textbook saxon algebra 1
: Please help me with the equation .The instructions say to simplify. Instead of just being over the whole numerator is.This question is from textbook saxon algebra 1

Click here to see answer by checkley71(8405) About Me 

Question 32447This question is from textbook Algebra 2
: I have to factor this polynomial, I know it has to be grouped, but I cant reach the solution provided by the text.
x^2+2xy+2x+y^2+2y-8
This question is from textbook Algebra 2

Click here to see answer by ikdeep(182) About Me 

Question 32552This question is from textbook algebra
: Solve the problem...
If three times a number added to 10 is divided by the number plus 1, the result is four thirds. Find the number
This question is from textbook algebra

Click here to see answer by mukhopadhyay(490) About Me 

Question 32558: (4-2sqrt3)^2
Click here to see answer by Nate(3495) About Me 

Question 32559This question is from textbook
: Perform the indicated operation and simplify.

2 9
-- + ----
r r-5
This question is from textbook

Click here to see answer by stanbon(26259) About Me 

Question 32554: simplify/reduce
4x-16/2x^2-5x-12
all times
4x^2-9/12

Click here to see answer by mukhopadhyay(490) About Me 

Question 32556: 6sqrt20-2sqrt45
Click here to see answer by mukhopadhyay(490) About Me 

Question 32555: 15/4sqrt5
Click here to see answer by Cintchr(475) About Me 

Question 32348This question is from textbook Algebra I
: 2x(x^2 - 8x +1)
This question is from textbook Algebra I

Click here to see answer by mukhopadhyay(490) About Me 

Question 32329: What is the LCM (lowest common multiple) of:

(3X2-27, X2-8x+15, 4x-12)
(3x squared-27. x squared-8x+15, 4x-12)
Thank You!

Click here to see answer by mukhopadhyay(490) About Me 

Question 32574: In Solving Equations with Rational Expressions how do I answer this problem:
x/2 - 2/3 = 1/x? I figured out this: x/3-2/3 = 1/x, x-2/3 = 1/x, then I cross multiply and I would be at x^2-2x = 3 but after that I'm stuck.

Click here to see answer by Earlsdon(4898) About Me 

Question 32327: Unsure of how to type "X to the third" etc so it appears as X3
7-X..........X3+27
___....x....________
X+3.........X2-9X+14

7X3+189-X4-27X.......6X3+147
______________ = ____________ Is This Correct? Thank You Very Much!
X3+4X2-13X+42......X4+4X2+14X

(That reads as 6X to the third plus 147 over
X to the 4th + 4X squared + 14X)

Click here to see answer by mukhopadhyay(490) About Me 

Question 32328: Unsure of how to type "X to the third" etc so it appears as X3
7-X..........X3+27
___....x....________
X+3.........X2-9X+14

7X3+189-X4-27X.......6X3+147
______________ = ____________ Is This Correct? Thank You Very Much!
X3+4X2-13X+42......X4+4X2+14X

(That reads as 6X to the third plus 147 over
X to the 4th + 4X squared + 14X)

Click here to see answer by mukhopadhyay(490) About Me 

Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100, 8101..8145, 8146..8190, 8191..8235, 8236..8280, 8281..8325, 8326..8370, 8371..8415, 8416..8460, 8461..8505, 8506..8550, 8551..8595, 8596..8640, 8641..8685, 8686..8730, 8731..8775, 8776..8820, 8821..8865, 8866..8910, 8911..8955, 8956..9000, 9001..9045, 9046..9090, 9091..9135, 9136..9180, 9181..9225, 9226..9270, 9271..9315, 9316..9360, 9361..9405, 9406..9450, 9451..9495, 9496..9540, 9541..9585, 9586..9630, 9631..9675, 9676..9720, 9721..9765, 9766..9810, 9811..9855, 9856..9900, 9901..9945, 9946..9990, 9991..10035, 10036..10080, 10081..10125, 10126..10170, 10171..10215, 10216..10260, 10261..10305, 10306..10350, 10351..10395, 10396..10440, 10441..10485, 10486..10530, 10531..10575, 10576..10620, 10621..10665, 10666..10710, 10711..10755, 10756..10800, 10801..10845, 10846..10890, 10891..10935, 10936..10980, 10981..11025, 11026..11070, 11071..11115, 11116..11160, 11161..11205, 11206..11250, 11251..11295, 11296..11340, 11341..11385, 11386..11430, 11431..11475, 11476..11520, 11521..11565, 11566..11610, 11611..11655, 11656..11700, 11701..11745, 11746..11790, 11791..11835, 11836..11880, 11881..11925, 11926..11970, 11971..12015, 12016..12060, 12061..12105, 12106..12150, 12151..12195, 12196..12240, 12241..12285, 12286..12330, 12331..12375, 12376..12420, 12421..12465, 12466..12510, 12511..12555, 12556..12600, 12601..12645, 12646..12690, 12691..12735, 12736..12780, 12781..12825, 12826..12870, 12871..12915, 12916..12960, 12961..13005, 13006..13050, 13051..13095, 13096..13140, 13141..13185, 13186..13230, 13231..13275, 13276..13320, 13321..13365, 13366..13410, 13411..13455, 13456..13500, 13501..13545, 13546..13590, 13591..13635, 13636..13680, 13681..13725, 13726..13770, 13771..13815, 13816..13860, 13861..13905, 13906..13950, 13951..13995, 13996..14040, 14041..14085, 14086..14130, 14131..14175, 14176..14220, 14221..14265, 14266..14310, 14311..14355, 14356..14400, 14401..14445, 14446..14490, 14491..14535, 14536..14580, 14581..14625, 14626..14670, 14671..14715, 14716..14760, 14761..14805, 14806..14850