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

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

Question 161459: CAN SOMEONE PLEASE HELP MW WITH THIS QUESTION:
Evaluate or simplify the expression without using a calculator.
log 0.0001
Click here to see answer by Alan3354(31538)

Question 161457: CAN SOMEONE PLEASE HELP ME WITH THIS QUESTION:
Determine whether the equation defines y as a function of x.
xy + 5y = 1
yes or no
Click here to see answer by Alan3354(31538)

Question 161420: SOMEONE HELP PLEASE:
Evaluate or simplify the expression without using a calculator.
log 0.0001
Click here to see answer by KnightOwlTutor(293)

Question 160406: how do i do polynomials? i dont understand how! thanks
Click here to see answer by Alan3354(31538)

Question 161253: Can someone please help me with this problem:
Perform the indicated operations. Give the answer in lowest terms.
9/z^2 - 6/z
Click here to see answer by ankor@dixie-net.com(15747)

Question 161515: Can someone please help me with this problem:
A ball is thrown downward from a window in a tall building. Its position at time t in seconds is s = 16t^2 + 32t, where s is in feet. How long (to the nearest tenth) will it take the ball to fall 175 feet?
Click here to see answer by checkley77(12569)

Question 161514: CAN SOMEONE PLEASE HELP ME WITH THIS PROBLEM;
Kafka Inc. imports hard drives and sells them on the internet. The profit is given by the equation P = 137n - 5000, where n is the number of hard drives sold. How many hard drives must be sold for the company to break even? Round your answer to the units place, in other words, to the nearest number of hard drives.
Click here to see answer by gonzo(654)

Question 161525: Factoring with two variables, h^2-9hs+9s^2
Thanks.
Click here to see answer by scott8148(6628)

Question 161482: CAN SOMEONE PLEASE HELP ME WITH THIS PROBLEM PLEASE:
Find the domain of the composite function f o g.
f(x) = 2 / x + 10 , g(x) = 60 / x
Click here to see answer by gonzo(654)

Question 161523: Factoring trinomials, 2/x^2+2x-3
Thanks for the help.
Click here to see answer by gonzo(654)

Question 161419: CAN SOMEONE PLEASE HELP ME WITH THIS PROBLEM:
Determine whether the graph of the polynomial has y-axis symmetry, origin symmetry, or neither.
f(x) = 7 - x^4
Click here to see answer by gonzo(654)

Question 161480: CAN SOMEONE PLEASE HELP ME WITH THIS PROBLEM PLEASE:
Determine whether the graph of the polynomial has y-axis symmetry, origin symmetry, or neither.
f(x) = 7 - x^4
Click here to see answer by ankor@dixie-net.com(15747)

Question 161522: I cant get this one. 2/x^2+2x-3
Click here to see answer by Alan3354(31538)

Question 161511: CAN SOMEONE PLEASE HELP ME WITH THIS PROBLEM:
Total profit is defined as total revenue minus total cost. R(x) and C(x) are the revenue and cost from the sale of x televisions. If R(x) = 240x - 0.9x^2 and C(x) = 4000 + 0.6x^2, find the profit from the sale of 100 televisions.
Click here to see answer by Alan3354(31538)

Question 161581: Can someone help me with this problem please
Back Packs, Inc., finds that the cost to make x back packs is C = 129x + 6687, while the revenue produced from them is R = 171x (C and R are in dollars). What is the smallest whole number of backpacks, x, that must be sold for the company to show a profit?
160
23
280,854 or
2,006,100
Click here to see answer by josmiceli(9819)

Question 161580: Can someone help me with this problem please
If a rocket is propelled upward from ground level, its height in meters after seconds is given by h = -9.8t^2 + 88.2. During what interval of time will the rocket be higher than 176.4 m?
a. 3 < t < 6
b. 6 < t < 6
c. 0 < t < 3
d. 6 < t < 9
Click here to see answer by oscargut(900)

Question 161378: CAN SOMEONE PLEASE HELP ME WITH THIS PROBLEM:
Perform the indicated operations. Write the resulting polynomial in standard form.
(-5x^6 - 13x^5 - 19) + (3x^6 + 9x^5 + 3)
Click here to see answer by KnightOwlTutor(293)

Question 161377: CAN SOMEONE PLEASE HELP ME WITH THIS PROBLEM:
Perform the indicated operations.
(9x^4 + 3xy - y^3) - (x^4 + 7xy + 3y^3)
Click here to see answer by KnightOwlTutor(293)

Question 161382: CAN SOMEONE PLEASE HELP ME WITH THIS PROBLEM:
The equation V = -2000t + 20,000 describes the value in dollars of a certain model of car after it is t years old. If a car is worth $12,000, substitute 12,000 into the equation to find the age of the car.
Click here to see answer by checkley77(12569)

Question 161364: CAN SOMEONE PLEASE HELP ME WITH THIS PROBLEM:
Determine the constant that should be added to the binomial so that it becomes a perfect square trinomial. Then write and factor the trinomial.
x^2 - 4x
Click here to see answer by checkley77(12569)

Question 161458: CAN SOMEONE PLEASE HELP ME WITH THIS QUESTION:
Determine whether the graph of the polynomial has y-axis symmetry, origin symmetry, or neither.
f(x) = 7 - x^4
Click here to see answer by checkley77(12569)

Question 161613: What does it mean when a number is a "zero" of a polynomial, and what the zeros have to do with the graph.
Thanks!
Click here to see answer by jim_thompson5910(28717)

Question 161636: CAN SOMEONE HELP ME WITH THIS PROBLEM:
A rectangular enclosure must have an area of at least 1800 yd^2. If 180 yd of fencing is to be used, and the width cannot exceed the length, within what limits must the width of the enclosure lie?
a. 45 b. 30 c. 0 d. 30
Click here to see answer by gonzo(654)

Question 161634: CAN SOMEONE HELP ME WITH THIS PROBLEM:
Find an equation of the line satifying the given conditions.
Through(7,-8); parallel to -8.8x + 0.1y = -62
Click here to see answer by gonzo(654)

Question 161385: CAN SOMEONE PLEASE HELP ME WITH THIS PROBLEM:
Use the graph of the given function to find any relative maxima and relative minima.
f(x) = x^3 - 3x^2 + 1
Click here to see answer by checkley77(12569)

Question 161632: CAN SOMEONE HELP ME WITH THIS PROBLEM:
Use technology to compute r, the correlation coefficient.
The following are costs of advertising ( in thousands of dollars) and the number of products sold (in thousands):
Costs 9, 2, 3, 4, 2, 5, 9, 10
Number 85, 52, 55, 68, 67, 86, 83, 73

Click here to see answer by gonzo(654)

Question 161643: Can someone help please.
Assume that the sales of a certain appliance dealer are approximated by a linear function. Suppose that sales were $6500 in 1982 and $64,500 in 1987. Let x = 0 represent 1982. Find the equation giving yearly sales S(x).
a. S(x) = 11,600x + 6,500
b. S(x) = 58,000x + 64,500
c. S(x) = 58,000x + 6,500
d. S(x) = 11,600x + 64,500

Click here to see answer by gonzo(654)

Question 161384: CAN SOMEONE PLEASE HELP ME WITH THIS PROBLEM:
Use synthetic division to show that the number given to the right of the equation is a solution of the equation, then solve the polynomial equation.
x^3 + 2x^2 - 11x - 12 = 0;-4
Click here to see answer by ilana(307)

Question 161722: give the sum of the two expressions,then subtract the second from the first 4x; -7x
Click here to see answer by jojo14344(1512)

Question 161704: CAN SOMEONE PLEASE HELP ME WITH THIS PROBLEM:
Write an equation in slope-intercept form of a line satisfying the given conditions.
m = -3/2; b = 8
a. y = (3/2)x + 8
b. y = -(3/2)x + 8
c. y = -(3/2)x - 8
d. y = (3/2)x - 8
Click here to see answer by nerdybill(7012)

Question 161711: can someone help me with this problem please"
Find the indicated term of the geometric sequence.
a = 1/3, r = 1/2; Find the 6th term.
a. 1/36
b. 1/48
c. 1/96
d. 1/32
Click here to see answer by mathispowerful(115)

Question 161761: 64.
Factor each polynomial.
h^2-9hs+9s^2
26.
Factor using AC method
21x^2+2x-3
72.Factor
3x^2-18x-48
18. Factor
2h^2-h-3

Click here to see answer by MathLover1(6815)

Question 161844: Add or subtract this polynomial:
(2p^3+6p^2+10p)+(9p^3+11p^2+3p)
1. Since there is no negative sign in front of the parenthesis you can get rid of the parenthesis (if there was a negative sign in front, you would have to change the signs of the terms inside of the parenthesis as you can get rid of parenthesis)
2p^3 + 6p^2 +10p +9p^3 +11p^2 +3p
Now you can combine like terms (when adding or subtracting like terms, they must have the same variable raised to the same exponent.
(I will reorganize them so you can see my thought process better)
2p^3 + 9p^3 +6p^2 + 11p^2 + 10p +3p
11p^3 + 17p^2 + 13p
Click here to see answer by eperette(173)

Question 161770: 16x^2+56x+49=0
Click here to see answer by checkley77(12569)

Question 161994: Please help to show the details of arriving at the correct answer.
Make sure to superscript all exponents. All exponents in final answers should be positive. Final answers should have all single connecting signs and be arranged in descending order.
Use FOIL to multiply
(5x-1)(3x-2)
Click here to see answer by Edwin McCravy(8999)

Question 161993: Please help me solve this problem.
Make sure to superscript all exponents. All exponents in final answers should be positive. Final answers should have all single connecting signs and be arranged in descending order.
Perform the indicated operations:
(7x^2-x+1)-(2x^2-x-3)-(5x^2+3x-10)
1. If you remember order of operations say the first thing we must do is parenthesis; by looking inside parenthesis I can see we do not need to simplify anything there so my goal is to get rid of the parenthesis. Notice that we will have to distribute a negative sign to two of these parenthesis
7x^2-x+1 - 2x^2 + x +3 - 5x^2 -3x +10 Now combine like terms
7x^2 - 2x^2 - 5x^2 - x + x -3x +1 +3 +10
0x^2 - 3x +14
-3x +14
Click here to see answer by eperette(173)

Question 161992: Make sure to superscript all exponents. All exponents in final answers should be positive. Final answers should have all single connecting signs and be arranged in descending order.

For f(x)=8x-9, find f(-3).
Notice that this is telling me that I will have to substitute the variable x with the number -3;
f(x)=8x-9
f(-3)=8(-3)-9
f(-3)=-24-9
f(-3)=-33
Click here to see answer by eperette(173)

Question 161897: FACTOR BY GROUPING

FACTOR BY FINDING THE GREATEST COMMON FACTOR

Click here to see answer by Edwin McCravy(8999)

Question 162055: CAN SOMEONE HELP ME WITH THIS PROBLEM
Solve the eqation for s.
log(9s-7)=r-2
10^(r-2)=9s-7
10^(r-2)+7=9s-7+7
10^(r-2)+7=9s
(10^(r-2)+7)/9=9s/9
(10^(r-2))/9 + 7/9 =s

Click here to see answer by tutor_paul(490)

Question 162059: Classify the 15 given polynomials as monomials, binomials, trinomials, and polynomials.
Thanks for your help
a. 4x2 + 3x + 7
b. ax2 + 2abx + c2
c. 6a3 - 7b2
d. 2ab + 7cd - 5da
e. -3abc
f. 10x - 5x + 4x
g. 2a2 + 3b2 - 2c2 + 2d2
h. 7x3 + 8x2
i. 14y
j. xyz - x + 2x
k. x3 - y3 + z3 - 3xyz
l. 3xy + 3x
m. 4b3
n. 2x3 - 9y3
o. x - 8y - 9x

Click here to see answer by MathLover1(6815)

Question 162198: can you please help me solve this polynomial:
Click here to see answer by Alan3354(31538)

Question 162174: Could you solve fully the equation
5a^3+ 15a^2 + 20a

Click here to see answer by checkley77(12569)

Question 162162: I need help dividing a polynomial by a binomial. Here is the problem:

Divided by

I have tried to divide using long division and I got:
3d-7 with a remainder of 18d-32, and I'm thinking this can't be right.
Any help is greatly appreciated! :-)
Sandy
Click here to see answer by Alan3354(31538)

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, 14851..14895, 14896..14940, 14941..14985, 14986..15030, 15031..15075, 15076..15120, 15121..15165, 15166..15210, 15211..15255, 15256..15300, 15301..15345, 15346..15390, 15391..15435, 15436..15480, 15481..15525, 15526..15570, 15571..15615, 15616..15660, 15661..15705, 15706..15750, 15751..15795, 15796..15840, 15841..15885, 15886..15930, 15931..15975, 15976..16020, 16021..16065, 16066..16110, 16111..16155, 16156..16200, 16201..16245, 16246..16290, 16291..16335, 16336..16380, 16381..16425, 16426..16470, 16471..16515, 16516..16560, 16561..16605, 16606..16650, 16651..16695, 16696..16740, 16741..16785, 16786..16830, 16831..16875, 16876..16920, 16921..16965, 16966..17010, 17011..17055, 17056..17100, 17101..17145, 17146..17190, 17191..17235, 17236..17280, 17281..17325, 17326..17370, 17371..17415, 17416..17460, 17461..17505, 17506..17550, 17551..17595, 17596..17640, 17641..17685, 17686..17730, 17731..17775, 17776..17820, 17821..17865, 17866..17910, 17911..17955, 17956..18000, 18001..18045, 18046..18090, 18091..18135, 18136..18180, 18181..18225, 18226..18270, 18271..18315, 18316..18360, 18361..18405, 18406..18450, 18451..18495, 18496..18540, 18541..18585, 18586..18630, 18631..18675, 18676..18720, 18721..18765, 18766..18810, 18811..18855, 18856..18900, 18901..18945, 18946..18990, 18991..19035, 19036..19080, 19081..19125, 19126..19170, 19171..19215, 19216..19260, 19261..19305, 19306..19350, 19351..19395, 19396..19440, 19441..19485, 19486..19530, 19531..19575, 19576..19620, 19621..19665, 19666..19710, 19711..19755, 19756..19800, 19801..19845, 19846..19890, 19891..19935, 19936..19980, 19981..20025, 20026..20070, 20071..20115, 20116..20160, 20161..20205, 20206..20250, 20251..20295, 20296..20340, 20341..20385, 20386..20430, 20431..20475, 20476..20520, 20521..20565, 20566..20610, 20611..20655, 20656..20700, 20701..20745, 20746..20790, 20791..20835, 20836..20880, 20881..20925, 20926..20970, 20971..21015, 21016..21060, 21061..21105, 21106..21150, 21151..21195, 21196..21240, 21241..21285, 21286..21330, 21331..21375, 21376..21420, 21421..21465, 21466..21510, 21511..21555, 21556..21600, 21601..21645, 21646..21690, 21691..21735, 21736..21780, 21781..21825, 21826..21870, 21871..21915, 21916..21960, 21961..22005, 22006..22050, 22051..22095, 22096..22140, 22141..22185, 22186..22230, 22231..22275, 22276..22320, 22321..22365, 22366..22410, 22411..22455, 22456..22500, 22501..22545, 22546..22590, 22591..22635, 22636..22680, 22681..22725, 22726..22770, 22771..22815, 22816..22860, 22861..22905, 22906..22950, 22951..22995, 22996..23040, 23041..23085, 23086..23130, 23131..23175, 23176..23220, 23221..23265, 23266..23310, 23311..23355, 23356..23400, 23401..23445, 23446..23490, 23491..23535, 23536..23580, 23581..23625, 23626..23670, 23671..23715, 23716..23760, 23761..23805, 23806..23850, 23851..23895, 23896..23940, 23941..23985, 23986..24030, 24031..24075, 24076..24120, 24121..24165, 24166..24210, 24211..24255, 24256..24300, 24301..24345, 24346..24390, 24391..24435, 24436..24480, 24481..24525, 24526..24570, 24571..24615, 24616..24660, 24661..24705, 24706..24750, 24751..24795, 24796..24840, 24841..24885, 24886..24930, 24931..24975, 24976..25020, 25021..25065, 25066..25110, 25111..25155, 25156..25200, 25201..25245, 25246..25290, 25291..25335, 25336..25380, 25381..25425, 25426..25470, 25471..25515, 25516..25560, 25561..25605, 25606..25650, 25651..25695, 25696..25740, 25741..25785, 25786..25830, 25831..25875, 25876..25920, 25921..25965, 25966..26010, 26011..26055, 26056..26100, 26101..26145, 26146..26190, 26191..26235, 26236..26280, 26281..26325, 26326..26370, 26371..26415, 26416..26460, 26461..26505, 26506..26550, 26551..26595, 26596..26640, 26641..26685, 26686..26730, 26731..26775, 26776..26820, 26821..26865, 26866..26910, 26911..26955, 26956..27000, 27001..27045, 27046..27090, 27091..27135, 27136..27180, 27181..27225, 27226..27270, 27271..27315, 27316..27360, 27361..27405, 27406..27450, 27451..27495, 27496..27540, 27541..27585, 27586..27630, 27631..27675, 27676..27720, 27721..27765, 27766..27810, 27811..27855, 27856..27900, 27901..27945, 27946..27990, 27991..28035, 28036..28080, 28081..28125, 28126..28170, 28171..28215, 28216..28260, 28261..28305, 28306..28350, 28351..28395, 28396..28440, 28441..28485, 28486..28530, 28531..28575, 28576..28620, 28621..28665, 28666..28710, 28711..28755, 28756..28800, 28801..28845, 28846..28890, 28891..28935, 28936..28980, 28981..29025, 29026..29070, 29071..29115, 29116..29160, 29161..29205, 29206..29250, 29251..29295, 29296..29340, 29341..29385, 29386..29430, 29431..29475, 29476..29520, 29521..29565, 29566..29610, 29611..29655, 29656..29700, 29701..29745, 29746..29790, 29791..29835, 29836..29880, 29881..29925, 29926..29970, 29971..30015