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

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

Question 82704: write in scientific notation
(6x10^12)(3.2x10^8)
___________________
(1.6x10^7)(3x10^2)
Click here to see answer by terbear1963(43)

Question 82695: using the 5 properties of exponents simplify the following
(y5)3is aboove(y3)2 is above
____________________________
(y4)4 is above
I am very confused how to do this.
Click here to see answer by rapaljer(4667)

Question 82733: how do I factor 81x^2-16w^2
Click here to see answer by rapaljer(4667)

Question 82697: find the values of each of these polynomials for the given values
-x2-5x-6
x=-3
x=-2
Click here to see answer by checkley75(3666)

Question 82209: can you assist me with the following
1.simplify ( 5+2a+3a2)-(a2+a-6)
2. simplify x(4x2+3x-5)-2(4-x2)
3.find the product : (b+2)(b+6)
4. find the product: (7x+1)(x2+1)
Click here to see answer by vertciel(183)

Question 82774: i need help figuring out and making sense of this problem. i have to facter it completely it says.
x^4-(3/2)x^3-(91/16)x^2+(51/16)x+(9/8)
i have enough problems factoring polynimials to the fourth degree but i just cant get this one!!
Click here to see answer by stanbon(57247)

Question 82793: could someone please at least tell me the steps to solve to this problem. my math book read like high level instructions.
find a rational function that has x=-3 and x=5 as vertical asymptotes, y=2 as a horzontal asymptote and (3,0) as an x intercept
that is the problem but i can not make sense of the math book if someone could help i would greatly appreciate it!!
Click here to see answer by stanbon(57247)

Question 82810: c/d + 3
________
4 + c/d
Please help i'm stuck on this one
Click here to see answer by stanbon(57247)

Question 82792: I am supposed to multiply n^10 n^8...Is the answer n^18???
Click here to see answer by scott8148(6628)

Question 82814: Please help me with this problem, it said to factor the polynomial:
2xy - 4x + 3y - 6
Click here to see answer by rapaljer(4667)

Question 82839: it asked to factor by grouping and i dont understand how to do it
8x^3+6x^2-12x-9
Click here to see answer by tutorcecilia(2152)

Question 82842: how do you factor 5x^5-6x^3+4x^2 by grouping?
Click here to see answer by funmath(2925)

Question 82811: 2/y + 1/2y
_____________
y + y/2
please help
Click here to see answer by funmath(2925)

Question 82755: Three consecutive evenintegers are such that the square of the third is 76 more than the square of the seconf. Find the three integers.

Evaluate this function for x=32(32-bit true color)

Click here to see answer by ankor@dixie-net.com(15639)

Question 82809: 3/a
_______
1/a - 1/3a

please help me with this one
Click here to see answer by ankor@dixie-net.com(15639)

Question 82912: 1. Evaluate (-x) ^ 2 which means (-x) to the power of 2 or square and compare this to - (x^2). Use x=5.
Thanks!!
Click here to see answer by sofiyacherni(99)

Question 82913: 1. Evaluate (-x) ^ 2 which means (-x) to the power of 2 or square and compare this to - (x^2). Use x=5.
Thanks!!
Click here to see answer by checkley75(3666)

Question 82898: please help me with this problem its a story problem and I apoligize if its under the wrong heading:
If a certain number, two thirds of it, half of it, and a seventh of it are added together, the result is 97. What is the number?
Click here to see answer by sofiyacherni(99)

Question 82891: can you please help me with this proof:
x/7 -7/x =0
Click here to see answer by sofiyacherni(99)

Question 82920: the area of a rectangle of length x is given by 3x^2+5x. find the width of the rectangle.
Click here to see answer by stanbon(57247)

Question 82919: find the gcf of each product
(6y^2-3y)(y+7)
Click here to see answer by stanbon(57247)

Question 82897: Please help me with this question it is a story problem and I apoligize if its under the wrong heading:

You have two pails, one that will hold 4qt and one that will hold 9qt. There are no markings on either pail to indicate smaller quatities. How can you measure out 6qt of wtaer using two pails? ( assume there is an unlimited supply of water)
Click here to see answer by scott8148(6628)

Question 82918: the us population in 1990 was approx. 250 million and the average growth rate for the past 30 years gives a doubling time of 66 years. The abouve formula for the united states becomes
p(in millions)=250x2^(y-1990)/66
what will the population of the us be in 2025 if this growth rate continues?
Click here to see answer by stanbon(57247)

Question 82916: simplify the following expression and write the answer with positive exponents only.
(x^2)raised -3(x^-2)
over
(x^2)raised -4
Click here to see answer by stanbon(57247)

Question 82915: what expression raised to the fourth power is 81x^12y^8z^16?
Click here to see answer by stanbon(57247)

Question 82921: find all positive values for k for which each of the following can be factored.
x^2+x-k
Click here to see answer by Edwin McCravy(8882)

Question 82911: 1. Evaluate (-x) ^ 2 which means (-x) to the power of 2 or square and compare this to - (x^2). Use x=5.
Thanks!!
Click here to see answer by Nate(3500)

Question 82914: Bob and Joe have 480 marbles between them. Bob arranges them in columns with 6 in each column, and Joe arranges them with 9 in each column. The total number of columns is 72. Express the above information in the form of an algebraic equation.

Click here to see answer by Nate(3500)

Question 82895: Please help me with this question I apoligize if its under the wrong heading:
Ramon was going to visit his friend in a distant city. He had to travel on four different turnpikes to get there. He had to pay 50 cents to enter each turnpike and 50 cents to exit. On each turnpike, he stopped at one store for a snack and spent 1/2 of the money he had after he entered that turnpike. After paying 50 cents to leave the last turnpike, Ramon was out of money. How much did he start with before entering the first turnpike?
Click here to see answer by josmiceli(9661)

Question 82935: Plot each pair of equations, then what is their intersection points?
y1=x^2-1
Y2=-1
I did
x^2-1=-1
= x^2-1=1=0
= x^2=0
= x=0
But I don't know how to plot them.

Click here to see answer by bucky(2189)

Question 82893: please help me with this question it is a story problem and I apologize if its under the wrong heading:

Four salespeople were sent into a particular region to find new stores to carry their product. If together, they found 50 new stores to carry their product, they would get a $500 bonus. Neil found twice as many stores a Gus. Gus found 4 fewer stores than Salvatore, and Salvatore found 4 more than Bonnie. Bonnie found 8 stores. Did each salesperson get the $500 bonus?
Click here to see answer by bucky(2189)

Question 82701: simplify by writing with only positive exponents
(x^2)^-3(x^-2)
______________
(x^2)^-4
Click here to see answer by ptaylor(2048)

Question 82945: if the sides of a square are decreased by 2 cm, the area is decreased by 36cm^2. what were the dimensions of the origional square?
Click here to see answer by stanbon(57247)

Question 82971: add or subtract and then put in simplest form subtracted from

Click here to see answer by Edwin McCravy(8882)

Question 83006: I'm not sure if this is the correct topic, but I need help with Quadratic functions and Models, which includes, Quadratic Functions, Graphing techniques, completing the square the vertex formula and Quadratic Modules and Curve fitting.
Click here to see answer by funmath(2925)

Question 82745: what expression raised to the forth power is 81x^12y^8z^16?
Click here to see answer by ankor@dixie-net.com(15639)

Question 82943: rewrite the middle term as the sum of two terms and then factor completly
4z^3-18z^2-10z
Click here to see answer by checkley75(3666)

Question 82969: add or subtract and then put in simplest form
x^2
over x-3
subtracted from
9
over
x-3
Click here to see answer by adamchapman(301)

Question 83035: Use the triangle at the right. Find the length of the missing side. If necessary, round to the nearest tenth
Click here to see answer by Nate(3500)

Question 83088: how do you solve 7x over 3y^2 plus 4y over 6x^2. i have tried multiplying 3y^2 by 2x^2 so that i get the denominator the same as the second denominator and then i multiplied 6x^2 by y^2 to get it the same as 6x^2 y^2
Click here to see answer by rapaljer(4667)

Question 83131: Ariana took 2h longer to drive 360 mi on the first day of a trio than she 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?
Click here to see answer by ankor@dixie-net.com(15639)

Question 83133: Kevin earned $165.00 interest for 1 year on an investment of $1500.00. At the same rate, what amount of interest would be earned by an investment of $2500.00?
Click here to see answer by checkley75(3666)

Question 83127: refer to a triangle. find an expression that represents the perimeter when
the triangle is sideways and pointing to the left
the top is
3
over 4x
the bottom is 5
over
x^2
and the right side is
1
over x^2
Click here to see answer by checkley75(3666)

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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, 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