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

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

Question 28644: Find all the negative odd intergers that satisfy the following inequality
-3x+1 _<_ 17
Click here to see answer by sdmmadam@yahoo.com(530)

Question 28444: suppose y varies inversely as x and y=5 when x=20. find x wehn y=2
Click here to see answer by emmychan(11)

Question 28808: find the sum 3m-4n-7,and 7n+2
find the sum -7xy+15xy+(-11xy)+(-xy)+2xy
Click here to see answer by sdmmadam@yahoo.com(530)

Question 27904: Simplify
2- 1/3
--------
4 + 11/3
Click here to see answer by sdmmadam@yahoo.com(530)

Question 28814: WHICH OF THE FOLLOWING EXPRESSIONS REPRESENTS THE PRODUCT OF 3 LESS THAN TWICE X AND 2 MORE THAN THE QUANTITY 3 TIMES X ?
a. -6x2 + 25x +6
b. 6x2 + 5x + 6
c. 6x2 - 5x + 6
d. 6x2 - 5x - 6
e. 6x2 - 13x - 6
(don't know how to make the power 2 on the keyboard)
Basically I'm studying for a placement test...been yrs I can do the problems but don't understand the question ANY HELP WOULD BE GREAT thanks
Click here to see answer by josmiceli(19441)

Question 28800: I've tried to work this out, I have one answer to the solution set, and I thought I had the others, but according to the answers in the back of the book, I don't! I was wondering if you can help.
(Solve each polynomial equation by factoring and then using the zero-product principle) 2x-3=8x(cubed)-12x(squared)
I set it to zero--- 8x(cubed)-12x(squared)-2x+3=0 I then factored by grouping.
(8x(cubed)-12x(squared)) (-2x+3) In the first set, I factored out a -4x(squared) leaving the equation like so.... -4x(squared)(-2x+3) and then the other set, I just set to zero like so....-2x+3=0.
The first equation I set -4x(squared) to zero....-4x(squared)=0, divided by -4 leaving x(squared)=-4 the other set I did the following.... I subtracted 3 from both sides, leaving -2x=-3. I then divided by -2 on bothe sides leaving x=-3/-2, giving me the set of 3/2. According to the book, this is coorect, the other set is where I'm confused. -4x(squared)=0, I divided -4 on both sides leaving x(squared)=0, then I'm not sure what to do! The answers in the back of the book, says the solution set is (-1/2, 1/2, and 3/2)

Click here to see answer by stanbon(75887)

Question 28754: Please help me with this problem.
Use a graph, synthetic division, and factoring to find all of the roots of x^3-5x^2+3x=0.
Could you show the steps?
Thank you so much
Click here to see answer by stanbon(75887)

Question 28868: How do you figure out the answe to 7y=6x+9

Click here to see answer by pok203(1)

Question 28889: WHAT IS THE RATIONAL EQUATION IF DAN AND LAURA TAKE 9 HOURS TOGETHER TO MAKE WEDDING INVITATIONS, BUT IT TAKES LAURA 15 HOURS ALONE. HOW LONG WILL IT TAKE DAN BY HIMSELF.
Click here to see answer by stanbon(75887)

Question 28891: what is the way and answer

(2X-5) TO THE FOURTH POWER
Click here to see answer by sdmmadam@yahoo.com(530)

Question 28854: Im sorry if this is in the wrong place, knew it went in either Polynomials or quadratic. It's factoring equations so...
Ok we just got into this stuff in Alg. II and I can't figure out for the life of me how to do these, we worked on them in groups at school so I had help on the other ones but these last ones are the ones I didn't get done, I have looked on the internet how to do them, my parents are oblivious to this stuff, etc.

So if anyone can help me with these I would really appreciate it.

Also if you know the answers could you show me how you did them in a step by step format as well as the answer, then I could write them down in my notebook to study later, I really want to understand this stuff.

Factoring:

1. 3a2-24a+48

2. 3x2+xy-6x-2y

3. 52-5st-14t2
4. 6x2+13x-5

Setting to Zero

1.y3+5y2+4y=0

2. (d-3)(d+5)=-12

Also my teacher said there is a possibility that any of these may be prime.

Thnx a bunch.
If you want what I got to the problems let me know although I didn't get past like the 2nd line on my paper for each problem.

Click here to see answer by stanbon(75887)

Question 28900: how do you solve this: p(x)=4x^3+3x^2-x+5
Click here to see answer by stanbon(75887)

Question 28908: In monomials, when you have negative exponents, do you still distribute to all numbers and mulitply negitively? such as...... 4 over 5 to the -2 power
Click here to see answer by stanbon(75887)

Question 28985: Science and technology. Fungicides account for 1/10 of the pesticides used in the United States. Insecticides account for 1/4 of all the pesticides used in the United States. The ratio of funigicides to insecticides used in the United States can be written 1/10 divided by 1/4. Write this ratio in simplest form.
Please help me.
Thank you.
Click here to see answer by stanbon(75887)

Question 28988: Add or substract as indicated. Express your result in simplest form.
3/x^2+4x+3 - 1/x^2-9
Thank you.
Click here to see answer by sdmmadam@yahoo.com(530)

Question 28987: Add or substract as indicated. Express your result in simplest form.
2/5w + 10 - 3/2w - 4
Thank You.
Click here to see answer by sdmmadam@yahoo.com(530)

Question 29072: Please help me on the equation:
Click here to see answer by sdmmadam@yahoo.com(530)

Question 29080: (3p)^4(3p)^-7 I'm supposed to simplify and can't seem to figure this out. I distributed the exponent 4 on the first term and got 3^4 p^4, don't know what to do from here. thank you!
Click here to see answer by sdmmadam@yahoo.com(530)

Question 29084: i need help on the approach to solve the problem: the number eggs N in a female moth is a function of her abdominal width W, in millimeters, modeled by
N=14W^3 - 17W^2 - 16W + 34 , for 1.5 < W < 3.5
what is the abdominal width when there are 211 eggs?
Click here to see answer by longjonsilver(2297)

Question 29164: Hi,i'm using factoring to solve problems,and I can't figure this out. Here's the question: A rectangular garden 30 meters by 40 meters has two paths of equal width crossing through it.Find the width of each path if the total area covered by the paths is 325m^2.Thanks a lot!

Click here to see answer by Nate(3500)

Question 29167: given a polynomial and one of its factors, find the remaining factors of the polynomial. Some factors may not be binomials.
6x^3-25x^2+2x+8;3x-2
Click here to see answer by Nate(3500)

Question 29162: Hi,i'm using factoring to solve problems,and I can't figure this out. Here's the question: A rectangular garden 30 meters by 40 meters has two paths of equal width crossing through it.Find the width of each path if the total area covered by the paths is 325m^2.Thanks a lot!

Click here to see answer by Earlsdon(6294)

Question 29071: Please help me solve this equation:
Click here to see answer by Earlsdon(6294)

Question 28228: Find a value for k so that 9m^2-kn^2 will have the factors 3m+7n and 3m-7n.
Thanks for your help.
Click here to see answer by venugopalramana(3286)

Question 28229: Factor each polynomial by grouping the first two terms and the last two terms.
x^3-4x^2+2x-8
Thank you.
Click here to see answer by venugopalramana(3286)

Question 28226: Factor each expression.
a^2(b-c)-16b^2(b-c)
Thank you so much.
Click here to see answer by venugopalramana(3286)

Question 28230: Factor each polynomial completely by factoring out any common factors and then factor by grouping. Do not combine like terms.
3a^3+3ab^2+2a^2b+2b^3
Please help me.
Thank you.
Click here to see answer by venugopalramana(3286)

Question 29197: How to find all possible values of b such that x^2+bx+12 can be factored.
Click here to see answer by longjonsilver(2297)

Question 29262: 24v+16
Click here to see answer by elima(1433)

Question 29288: Solve the equation 5 to the 2x over 5 to the 2x+2
Click here to see answer by bmauger(101)

Question 29337: How do I solve the problem (4-i)^2+2(3-2i)-4. I need to perform the indicated operations and write the answer in standard form. HELP!
Click here to see answer by ikdeep(226)

Question 28981: Geometry. The volume of the box is represented by (x^2+5x+6)(x+5). Find the polynomial that respresents the area of the bottom of the box.
Click here to see answer by Nate(3500)

Question 29397: Please show me how to answer this problem.
3x(2x-1)=0
Click here to see answer by askmemath(368)

Question 29434: Science and medicine. A plane flies 720 m aginst a steady 30-mi/h headwind and then returns to the same point with the wind. If the entire trip takes
10 h, what is the plane's speed in still air?
Thank you for your help.
Click here to see answer by Paul(988)

Question 29432: Science and Medicine. Ariana took 2 h longer to drive 360 mi on the first day of a trip than shee took to drive 270 mi on the second day. If her speed was the same on both days, what was the driving time each day?
Please help.
Thank you very much.
Click here to see answer by Paul(988)

Question 29429: Number problem. If one-half of one integer is subtracted from three-fifths of the next consecutive integer, the difference is 3. what are the two integers?
Please help me.
Thank you.
Click here to see answer by josmiceli(19441)

Question 29418: Solve and check each of the following equations for x.
x/6-x/8=1
please help.
Thank you so much.
Click here to see answer by ikdeep(226)

Question 29448: 3x^2/x+1 * x+1/6x
Click here to see answer by sdmmadam@yahoo.com(530)

Question 29422: Solve each of the following equations for x.
2/5=x-2/20
Thank you.
Click here to see answer by longjonsilver(2297)

Question 29473: actuly i need a tuter but am unsure to how to get one im a jr. in high school and am flunking algebra1 and algebra2 please e-mail me with help any one
Click here to see answer by Nate(3500)

Question 29366: 6t^2-18t
Click here to see answer by sdmmadam@yahoo.com(530)

Question 29490: For all x (not equal to) -4, which of the following is equivalent to the expression x^2 + 12x +32 / x + 4
x + 3
x + 8
x + 11
x + 16
x + 28
The answer is x + 8 but I don't know how they got that answer! Thank you for your help!
Click here to see answer by josmiceli(19441)

Question 29531: Business and finance. Kevin earned $165 interest for 1 year on an investment of $1500. At the same rate, what amount of interest would be earned by an investment of $2500?

Help.
Thank you.
Click here to see answer by askmemath(368)

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30331..30375, 30376..30420, 30421..30465, 30466..30510, 30511..30555, 30556..30600, 30601..30645, 30646..30690, 30691..30735, 30736..30780, 30781..30825, 30826..30870, 30871..30915, 30916..30960, 30961..31005, 31006..31050, 31051..31095, 31096..31140, 31141..31185, 31186..31230, 31231..31275, 31276..31320, 31321..31365, 31366..31410, 31411..31455, 31456..31500, 31501..31545, 31546..31590, 31591..31635, 31636..31680, 31681..31725, 31726..31770, 31771..31815, 31816..31860, 31861..31905, 31906..31950, 31951..31995, 31996..32040, 32041..32085, 32086..32130, 32131..32175, 32176..32220, 32221..32265, 32266..32310, 32311..32355, 32356..32400, 32401..32445, 32446..32490, 32491..32535, 32536..32580, 32581..32625, 32626..32670, 32671..32715, 32716..32760, 32761..32805, 32806..32850, 32851..32895, 32896..32940, 32941..32985, 32986..33030, 33031..33075, 33076..33120, 33121..33165, 33166..33210, 33211..33255, 33256..33300, 33301..33345, 33346..33390, 33391..33435, 33436..33480, 33481..33525, 33526..33570, 33571..33615, 33616..33660, 33661..33705, 33706..33750, 33751..33795, 33796..33840, 33841..33885, 33886..33930, 33931..33975, 33976..34020, 34021..34065, 34066..34110, 34111..34155, 34156..34200, 34201..34245, 34246..34290, 34291..34335, 34336..34380, 34381..34425, 34426..34470, 34471..34515, 34516..34560, 34561..34605, 34606..34650, 34651..34695, 34696..34740, 34741..34785, 34786..34830, 34831..34875, 34876..34920, 34921..34965, 34966..35010, 35011..35055, 35056..35100, 35101..35145, 35146..35190, 35191..35235, 35236..35280, 35281..35325, 35326..35370, 35371..35415, 35416..35460, 35461..35505, 35506..35550, 35551..35595, 35596..35640, 35641..35685, 35686..35730, 35731..35775, 35776..35820, 35821..35865, 35866..35910, 35911..35955, 35956..36000, 36001..36045, 36046..36090, 36091..36135, 36136..36180, 36181..36225, 36226..36270, 36271..36315, 36316..36360, 36361..36405, 36406..36450, 36451..36495, 36496..36540, 36541..36585, 36586..36630, 36631..36675, 36676..36720, 36721..36765, 36766..36810, 36811..36855, 36856..36900, 36901..36945, 36946..36990, 36991..37035, 37036..37080, 37081..37125, 37126..37170, 37171..37215, 37216..37260, 37261..37305, 37306..37350, 37351..37395, 37396..37440, 37441..37485, 37486..37530, 37531..37575, 37576..37620, 37621..37665, 37666..37710, 37711..37755, 37756..37800, 37801..37845, 37846..37890, 37891..37935, 37936..37980, 37981..38025, 38026..38070, 38071..38115, 38116..38160, 38161..38205, 38206..38250, 38251..38295, 38296..38340, 38341..38385, 38386..38430, 38431..38475, 38476..38520, 38521..38565, 38566..38610, 38611..38655, 38656..38700, 38701..38745, 38746..38790, 38791..38835, 38836..38880, 38881..38925, 38926..38970, 38971..39015, 39016..39060, 39061..39105