Questions on Algebra: Graphs, graphing equations and inequalities answered by real tutors!

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Question 71704: Solve the equation by graphing:
3x-2y=6
3x+2y=6

Click here to see answer by funmath(2933) About Me 

Question 71656: Write an equation of a line through the given points.
(4,3) (-2,1)
In know the answer being, y=1/3x+1 2/3... It says the answer in the back of the book. Now could someone explain how to come upon this answer??

Click here to see answer by checkley75(3666) About Me 

Question 71860:
Find the horizontal asymptote of the rational 
function f%28x%29+=+%283x-12%29%2F%284x-2%29 
Possible answers: 
y+=+1%2F2
y+=+3%2F4
y+=+2
y+=+4 
Thank you. Exactly what is a asymptote? Can anyone 
explain the simplest way to solve this problem?

Click here to see answer by rcmcc(152) About Me 
Question 71860:
Find the horizontal asymptote of the rational 
function f%28x%29+=+%283x-12%29%2F%284x-2%29 
Possible answers: 
y+=+1%2F2
y+=+3%2F4
y+=+2
y+=+4 
Thank you. Exactly what is a asymptote? Can anyone 
explain the simplest way to solve this problem?

Click here to see answer by Edwin McCravy(20055) About Me 

Question 71858: Here is another one that is not explained in the 8 books that I have. At least not good enough whereas I can make sense of it.
the degree three polynomial f(x) with real coefficients and leading coefficient 1, has 4 and 3 + i among its roots. Express f(x) as a product of linear and quadratic polynomials with real coefficients.
Possible answers:
f(x) =(x+4)(x^2 + 6x +10)
f(x) =(x-4)(x^2 -6x -9)
f(x) =(x-4)(x^2 -6x +10)
f(x) = (x-4)(x^2 -6x +9)
Thanks to anyone who can possibly explain this to me.

Click here to see answer by jim_thompson5910(35256) About Me 

Question 71893: Graph f(x) = 3x + 2.
Click here to see answer by tutorcecilia(2152) About Me 

Question 71815: Given f(x) = 5x˛ - 3x + 1, find f(-2)
Click here to see answer by bucky(2189) About Me 

Question 71890: Graph the inequality.
2x + 3y > 6

Click here to see answer by elima(1433) About Me 

Question 71915: Solve the following system by graphing.
3x - 6y = 9
x - 2y = 3

Click here to see answer by checkley75(3666) About Me 

Question 71913: x-2y = 8
3x - 2y = 12

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Question 71805: WRITE Y=13.6(X-1902)+158.2 IN INTERCEPT FORM
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Question 71937: please help me.
find the slope of each line by solving for Y.
example...
3X + 2Y = 6
how do i solve for Y?
How can i find the slope?

Click here to see answer by rmromero(383) About Me 

Question 71982: Solve this equalities: -2x - 34 > -14
Click here to see answer by checkley75(3666) About Me 

Question 71983: need help could u explain each step thanks
2x-y=6
x=13-2y equations by substitution
thank you so much homework

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Question 71981: Solve this inequalities: 4/5x - 18 < 2
Click here to see answer by checkley75(3666) About Me 

Question 71857: Begging for help.
Find all roots of the polynomial x3 - x2 + 16x -16
Possible answers:
1, 4, -4
. -1, 4, -4
. -1,4i, -4i
.1, 4i, -4i
where did the i come from, what does this represent? Someone please explain how to solve this problem

Click here to see answer by stanbon(75887) About Me 

Question 71959: Solve the following system of linear inequalities by graphing.
x – y ≤ 3
x + 2y ≥ 6

Click here to see answer by elima(1433) About Me 

Question 72002: stan idon't knowwhat youmean by the answer you gave me on lenear equations
8x-4y=16
4x=5y=22
you said multiply 2nd by 2 to get 3rd 8x+5y=22 how did you get 2 and so on i need more explanation or i wont understand

Click here to see answer by checkley75(3666) About Me 

Question 71980: Solve this inequalities: -4x > 20
Click here to see answer by elima(1433) About Me 
Question 71980: Solve this inequalities: -4x > 20
Click here to see answer by checkley75(3666) About Me 

Question 71979: Solve this inequalities: -2x - 34 > - 14
Click here to see answer by elima(1433) About Me 
Question 71979: Solve this inequalities: -2x - 34 > - 14
Click here to see answer by checkley75(3666) About Me 

Question 72128: Solve the system of equations using the substitution method.
If the answer is a unique solution, present it as an ordered pair: (x, y). If not, specify whether the answer is “no solution” or “infinitely many solutions.”
-4x + y = 8
2x + 3y = -1
--------------------------------------------------------------------------------
I tried doing it but got a really long decimal.
-4x + y = 8
2x + 3y = -1
Y= 4x+8
2x + 3(4x+8) = -1
2x+ 12x +24 = -1
14x + 24 -24 = -1 – 24
14x= -25
x= 1.785714286

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

Question 72148: In the 1988 Winter Olympics, Bonnie Blair set a world record for womens speed skating by skating approximately 12.79 meters per second in the 500-meter race. Suppose she could maintain that speed. Write an equation that represents how far she could travel in t seconds. What type of function does the equation represent?
Click here to see answer by stanbon(75887) About Me 

Question 72154: Write an equation for the line that passes through (-7, 9) and is perpendicualr to the y-axis.
Click here to see answer by checkley75(3666) About Me 

Question 72150: Graph a line that passes through (4, -2) and is perpendicular to a line whose slope is -3.
Click here to see answer by checkley75(3666) About Me 

Question 72143: The length of the base of an isosceles triangle is 2 centimemters shorter than the length of either of the other sides. If the perimeter of the triangle is 16 centimeters, find the length of each side of the triangle.
Click here to see answer by checkley75(3666) About Me 

Question 72141: The sides of an angle are parts of two lines whoes equations are y = -3/2x - 6 and y = 2/3x + 7. Find the coordinates of the vertex of the angle.
Click here to see answer by checkley75(3666) About Me 

Question 72119: Find the equation, in standard form, with all integer coefficients, of the line perpendicular to x – 5y = 4 and passing through (-3, 5).
Click here to see answer by checkley75(3666) About Me 

Question 72217: Determine if the following lines are parallel, perpendicular or neither.
y-3x=5 3x+y=7

Click here to see answer by Sandacious(9) About Me 

Question 72224: Given g(x)= -x + 4, find g(2a).
Click here to see answer by rmromero(383) About Me 

Question 72222: Graph f(x)= -2x + 4.
Click here to see answer by rmromero(383) About Me 

Question 72289: Complete the ordered pairs so that each is a solution for the given equation.
y =-2x + 5 (0,5), (0,5), (3/2,2), (2,1)

Click here to see answer by checkley75(3666) About Me 

Question 72336: Solve the following 2 x 2 systems using substitutions
2x + 7y =9
9x + 4y =13

Click here to see answer by checkley75(3666) About Me 

Question 72319: Solve the following 2 x 2 systems using substitutions
3x - y = 5
6x + 5y =-18

Click here to see answer by elima(1433) About Me 

Question 72310: Solve the folling 2 x 2 systems using substitutions
y= 3x + 12
y= -x +4

Click here to see answer by elima(1433) About Me 

Question 72311: Solve the folling 2 x 2 systems using substitutions
y= 1/2x + 10
y= 5x +1

Click here to see answer by checkley75(3666) About Me 

Question 72342: there are 1000 lockers on a hall,#'d 1-1000. Student 1 opens all lockers, #2 closes 2,4,6 ... #3 changes the state of doors 3,6,9... this continues until all 1000 students have had a turn at the lockers Question is when all students are finished with their turn which locker doors are open? Don't know how to figure out equation to get answer. This is supposed to be a 9th grade algebra1 question. HELP!!!!
Click here to see answer by jim_thompson5910(35256) About Me 

Question 72449: I submitted this quite a few days ago and I thought I would resubmit it just in case I messed up or something.
Graph the solution set of the following inequality.
x > 4
How do I do this?
I am lost please help?

Click here to see answer by Edwin McCravy(20055) About Me 

Question 72335: Solve the following 2 x 2 systems using substitutions
2x - 5y= 21
7x + 3y = 53

Click here to see answer by elima(1433) About Me 

Question 72330: Solve the following 2 x 2 systems using substitutions
y= 3x - 3
3x + 5y =57

Click here to see answer by elima(1433) About Me 

Question 72329: Solve the following 2 x 2 systems using substitutions
y= 2x +2
y= 1/2x + 8

Click here to see answer by elima(1433) About Me 

Question 72380: how do i determine whether the graphs of the equation are perpendicular lines?
4y=x+5
9y+3x=2

Click here to see answer by elima(1433) About Me 

Question 72470: (1)Write the equation of the line that satisfies the given conditions. Expressthe final equation in standard form. Contains the point (-3, 7) and is parallel to the y-axis.
(2)Write the equation of the line that satisfies the given conditions. Expressthe final equation in standard form. Contains the origin and is parallel to the line 2x-9y=-1

Click here to see answer by jim_thompson5910(35256) About Me 

Question 72476: Solve the system of equations using the addition (elimination) method. If the answer is a unique solution, present it as an ordered pair: (x,y). If not, specify whether the answer is "no solution" or "infinitely many solutions."
3x - 2y = 7
-9x + 6y = -21

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, 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