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

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Question 81393: I submitted these questions a few days ago and got no response. This is due no later than tonite please help....
1. Simplify the rational expression:
x2 – 6x + 5
x2 – 25


2. Divide:
x2 – 9x + 8 ÷ x2 – 1
2x – 4 2x + 2


3. Simplify:
√[64x10y2z46]


4. Perform the indicated operations:
4√[18] + 2√[32] –√[8]


Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 81412: a passenger train can travel 325 mi in the same time a freight train takes to travel 200 mi. If the speed of the passanger train is 25 mi/phr faster than the speed fo the freight train, find the speed of each.
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Question 81442: CARPENTRY
When building a stairway, a carpenter considers the ratio of risers to tread. If each stair being built is to have a width of 1 foot and a height of 8 inches, what will the slope of the stairway?

.... _________
. l (- riser
______
tread

I would be very much appreicated if you could tell me how to do this and the answer!thanx

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Question 81516: Hi, can someone please help me solve the following? Thanks in advance!
The length of a rectangular swimming pool is 2x-1 meters, and the width is x+2 meters. Write a polynomial that represents the area. Find the area if x is 5 meters.

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Question 81515: I would appreciate any assistance with the following. Thank you
The width of a rectangular playground is 2x-5 feet, and the length is 3x+9 feet. Write a polynomial P(x) that represents the perimeter and then evaluate this perimeter polynomial if x is 4 feet.

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Question 81518: Hi, can someone help with the following?
P dollars is invested at annual interest rate R for 1 year. If the interest is compounded semiannually, then the polynomial P (1+ r/2)squared represents the value of the investment after 1 year. Rewrite this expression without parentheses. Evaluate the polynomial if P=$200 and r=10%

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Question 81534: Can someone guide me through solving the following problem? John invested P dollars in a 2yr CD with an annual rate of return of R. After the CD rolled over three times, its value was P((1+r)^2)^3. Which law of exponents can be used to simplify the expression? Simplify it
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Question 81533: Hi, I need help with the following: The perimeter of a rectangular backyard is 6x+6 yards. If the width is x yards, find a binomial that represents the length.
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Question 81546: please help me to multiply these two problems i have been working on them four three days and i am mentally drained now i am really messing them up help please?
1. (-2x+3)^2
2. (x-4y)(x^2+4xy+16y^2)

Click here to see answer by tutorcecilia(2152) About Me 

Question 81556: I have the following: %282x%5E2-18x%2B8%29%2F%282x-4%29. The instructions are to divide. I believe the answer to be x-7 with a remainder of 10/x-2. However, I am not sure how to check if this answer is correct. Would you please help me solve?
Thank you.

Click here to see answer by doctor_who(15) About Me 
Question 81556: I have the following: %282x%5E2-18x%2B8%29%2F%282x-4%29. The instructions are to divide. I believe the answer to be x-7 with a remainder of 10/x-2. However, I am not sure how to check if this answer is correct. Would you please help me solve?
Thank you.

Click here to see answer by Edwin McCravy(20054) About Me 

Question 81445: can someone please check this for me?
x%5E2-11x%2B24+=+0
x=%28%28-%28-11%29%29%2B-sqrt%2811%5E2-4%2A1%2A24%29%29%2F%282%2A1%29
x=%2811%2B5%29%2F%282%2A1%29
x=16%2F2=8
x=6%2F2=3
x=8,3

Click here to see answer by Edwin McCravy(20054) About Me 

Question 81570: how can i rewrite the middle term as the sum of two terms and then factor completely?
x^2-11x+24

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Question 81600: How do you factor a polynomial with x^3?
One x cannot be factored out.
The equation to be factored is x^3 + 2x^2 - 16x - 32
Please help!

Click here to see answer by Earlsdon(6294) About Me 

Question 81622: How do you solve for x when it is in the denominator of a rational expression such as in the following:
1/8 - 3/5 = 1/x What are the restrictions? What is the solution?

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Question 81646: How do you solve for x when it is in both the numerator and denominator on both sides of a rational equation? And what are the restrictions for x? This is the nasty problem:
x-7/x-9 = 2/x-9

Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 81645: How do you solve for a when it is in both the numerator and denominator on the same side of a rational equation? And what are the restrictions for a? This is the problem:
a-2/a+3 = 3/8

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Question 81653: can someone please help me multiply?
4x-40
over
x^2+10x
multiplied by
3x
over
10-x

Click here to see answer by rapaljer(4671) About Me 
Question 81653: can someone please help me multiply?
4x-40
over
x^2+10x
multiplied by
3x
over
10-x

Click here to see answer by tutorcecilia(2152) About Me 

Question 81654:
Click here to see answer by rapaljer(4671) About Me 

Question 81644: How do you solve for x when it is in the denominator on both sides of a rational equation? And what are the restrictions for X? This is the problem:
4/x = 5/x - 1/2

Click here to see answer by tutorcecilia(2152) About Me 

Question 81667: multiply the fractions:
%282x%5E2-x-3%29%2F%283x%5E2%2B7x%2B4%29.%283x%5E2-11x-20%29%2F%284x%5E2-9%29

Click here to see answer by Edwin McCravy(20054) About Me 

Question 81677: Add and write in simplest form: 4y/y^2+6y+5 added to 2y/y^2-1
All of this math is new to me, I need some serious help in explaining the steps that lead to the solution. Thanks

Click here to see answer by Edwin McCravy(20054) About Me 

Question 81671: Add and write in simplest form: 5/4cd+11/4cd= my answer is 16/8cd am I right?
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Question 81666: I have to write this in silmplest expression form:
4r^2-25s^2/2r^2+3rs-20s^2 Please Help

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Question 81676: Subtract and write in simplest form: 3/x^2+4x+3 subtracted by 1/x^2-9
Click here to see answer by rapaljer(4671) About Me 

Question 81829: Solve:
4/x+1=3/x-2
I know when you divide you multiply by each others denominators. Then flip and multiply, then cancel out. But How does it work with an equal sign?

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Question 81815: What is the degree of this?
2x^3-3x^2+x+5

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Question 81815: What is the degree of this?
2x^3-3x^2+x+5

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Question 81832: i need help on this equation: (5x^4-2x^2+1)(x^2-5x+3)


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Question 81782: How do you divide monomials?
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Question 81884: How would you simplify 6x+9 over 3x?
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Question 81900: 2h-6
_____= 2/3
6

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Question 81914: x2-3x+2=0
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Question 81916: solve by graphing: x2-3x+1=0
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Question 81917: solve by using quadratic formula: 2x2+x-1=0
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Question 81909: Can you walk me through equations like this?
(X-5 over 5)+ (x over 4)=8
(5-2X over 2) -(4x+3 over 6) = (7x+2 over 6)

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Question 81930: FIND THE X AND Y INTERCEPTS FOR EQUATION
-6x - 12y = 12

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Question 82007: 4+8x=5x^2
The problem gives 2 answers for x

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Question 82035: how do I simplify this and give restrictions?
2x^2 + 7x -15
-------------
x^2 + x - 20

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Question 82044: (3x-2)-(4x+3)
Click here to see answer by checkley75(3666) About Me 

Question 82062: (X-6) X (X-6)
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Question 82069: If 300 jellybeans cost x dollars, how many jellybeans can you purchase at the smae rate for 50 cents?
A. 150/x
B. 150x
C.6x
D. x/6
E. 1500x
How would you solve this problem?

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Question 82068: I need help on this problem. You need to purchase a textbook for nursing school that costs $80.00. The sales tax on the book is 8.25%. You have $100. How much change will you receive back. I don't understand percentages that well and need help. Can you give for a step by step explanation for the solution?
Click here to see answer by stanbon(75887) About Me 

Question 82067: I need help solving the solution for A. The problem is A: 2a/3=8+4a. Can you show me step by step how to get A?
Click here to see answer by stanbon(75887) 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, 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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