Questions on Algebra: Linear Equations, Graphs, Slope answered by real tutors!

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Question 1122066: I understand simple equations like " x + 8 = 6" and " x + 2 = 10".
x=-2 and x=8 because obviously 8+ 2 is 10. I just don't understand the steps it takes to do equations like 4 - 7x + 10 = 15 - 6x - 8
Please explain to me in detail the steps it takes to solve 4 - 7x + 10 = 15 - 6x - 8
Thank you

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Question 1122112: Good
Please assist me with this question

Use the numerical method to calculate the BEP of a wine company that sells a 1000 litres of wine per week at 12 per litre.they produce wine at R8 per litre and their total fixed cost to operate their plant and to produce their wine is R2000 per week

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Question 1122301: If Don Has 2 More Than 3 Times The Number Of Marbles Mark Has,how Many Does Each Boy Have To Sell If The Total Number Of Marbles Is 98

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Question 1122301: If Don Has 2 More Than 3 Times The Number Of Marbles Mark Has,how Many Does Each Boy Have To Sell If The Total Number Of Marbles Is 98

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Question 1122301: If Don Has 2 More Than 3 Times The Number Of Marbles Mark Has,how Many Does Each Boy Have To Sell If The Total Number Of Marbles Is 98

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Question 1122312: We were given a chart that states the population in states every 2 years. The state I chose was Navada the chart says this:
Year 2000. 2002. 2004. 2008
Population 2,000,000. 2,170,000. 2,330,000. 2,660,000
(The smaller numbers are the years and the bigger numbers are the population, population increases with each year stated)
The question asks: Let x represent the number of years since 2000. Let f(x) represent the population of the state you picked in year x. Find the y-intercept for the graph of y = f (x).
I can’t figure out where to even start... any help would be greatly appreciated, thanks.

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Question 1122336: 4x + 9 = 3 - (x - 2)

How do I solve this equation?

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Question 1122335: 6q - 2 = 3q
How do I solve this equation?

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Question 1122351: determine the value of k so that the line through points (0,4) and (k-2,6) has x-intercept k
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Question 1122351: determine the value of k so that the line through points (0,4) and (k-2,6) has x-intercept k
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Question 1122437: A vertical line divides the triangle with vertices (0, 0), (9, 0) and (8, 4) into two regions of equal area. Find the equation if the line.
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Question 1122500: 7x(6x+4y)

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Question 1122519: A line with a slope 1/5 passes through (6,3) if the abssisa of the point on the line is 11. What is its ordinate?
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Question 1122558: what is the slope intercept form of the equation of the line that has a slope of -1/2 and passes through the point 3,0
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Question 1122587: How many gallons of a 90​% antifreeze solution must be mixed with 60 gallons of 20​% antifreeze to get a mixture that is 80​% ​antifreeze?
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Question 1122586: In planning her​ retirement, Liza deposits some money at 4.5​% ​interest, with twice as much deposited at 5​%. Find the amount deposited at each rate if the total annual interest income is ​$1740.
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Question 1122606: y=2x+2;(-1,3) in PS form and SI form

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Question 1122606: y=2x+2;(-1,3) in PS form and SI form

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Question 1122606: y=2x+2;(-1,3) in PS form and SI form

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Question 1122737: please help with this problem (500x+100y=325) (400x+150y=304)
Click here to see answer by ankor@dixie-net.com(22740) About Me 
Question 1122737: please help with this problem (500x+100y=325) (400x+150y=304)
Click here to see answer by MathLover1(20849) About Me 
Question 1122737: please help with this problem (500x+100y=325) (400x+150y=304)
Click here to see answer by MathTherapy(10552) About Me 
Question 1122737: please help with this problem (500x+100y=325) (400x+150y=304)
Click here to see answer by ikleyn(52781) About Me 

Question 1122745: Carl is boarding a plane. He has 222 checked bags of equal weight and a backpack that weighs 4 \text{ kg}4 kg4, space, k, g. The total weight of Carl's baggage is 35 \text{ kg}35 kg35, space, k, g.

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Question 1122750: Write an equation in​ slope-intercept form for the line described.
​x-intercept -5​, ​y-intercept 8

Find an equation for the line which passes through ​(-2​,3​) and is perpendicular to the line containing ​(0,3​) and ​(3​,6​).

Find an equation of the line having the given slope and containing the given point.
m = 4/5, ​(6​,-6​)

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Question 1122759: find the slope, y- intercept and x- intercept of the linear equation 3x-144=0
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Question 1122803: 4x-3=2y
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Question 1122803: 4x-3=2y
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Question 1122836: how do you graph x=3 using 3 points
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Question 1122838: I need to know how to solve for x+2y=10
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Question 1122837: I need help in solving this problem I need to know how to solve. Thanks

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Question 1122867: M=2/5;(5,4)
Write the equation of the line through the indicated point with the indicated slope. Write the final answer in the form y equals mx plus b


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Question 1122901: are slope lines 1@2 which are 3 and -3 are they parallel.
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Question 1122931: How do I graph Linear equations such as:
3x + y = -1

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Question 1122958: 14. You pay your secretary $7.35 per hour. A stamped envelope costs 54 cents, and paper costs 7 cents per page. How much does it cost to prepare and mail an 8-page letter if your secretary spends 1.60 hours on typing and corrections?
a. $12.38
b. $12.58
c. $17.72
d. $12.86

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Question 1123002: Question on slope.
I've taken (-4,6) & (-4,-4) to determine the slope.
m=-4-6/-4-(-4)
m=-10/0
would this mean that m=0?
This has not been covered thus far, but after research, is this an infinity slope?
What would be the correct way to write the solution? Is m=0 correct?
Thank you!

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Question 1123002: Question on slope.
I've taken (-4,6) & (-4,-4) to determine the slope.
m=-4-6/-4-(-4)
m=-10/0
would this mean that m=0?
This has not been covered thus far, but after research, is this an infinity slope?
What would be the correct way to write the solution? Is m=0 correct?
Thank you!

Click here to see answer by Boreal(15235) About Me 

Question 1123104: If y=-1, then y'=
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Question 1123138: hello pleases can you help me with this question. Let u and v be non-zero vectors in R3 in standard position. Prove that If u and v are of length r cm each, where r ∈ R and r > 0, then their tips lie on the surface of a sphere of radius r cm. thanks
I said that u=rcm and v=rcm therfore u=v
sinc R^3 has three spaces (v, u,x)
then v=r
u=r
and r=x
becuses they are all eqivulent.
is this right thanks










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Question 1123146: Find the slope and the​ y-intercept of the line whose equation is given.
15 x plus 3 y equals 6
15x+3y=6
The slope is
nothing
. ​(Type an integer or a simplified​ fraction.)

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Question 1123146: Find the slope and the​ y-intercept of the line whose equation is given.
15 x plus 3 y equals 6
15x+3y=6
The slope is
nothing
. ​(Type an integer or a simplified​ fraction.)

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Question 1123170: in 2009, the number of students in a large urban high school was 2370. in 2011, the number of students was 2340. if the number of students declines linearly, find the equation that represents this relationship. assume x is the year and y is the number of students. then use this equation to predict the number of students in 2015
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Question 1123188: y=x^3-1
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Question 1123230: How to write an equation of the line containing the specified point and parallel to the indicated line (-1,-6)2, x-5y=1

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Question 1123230: How to write an equation of the line containing the specified point and parallel to the indicated line (-1,-6)2, x-5y=1

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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, 30016..30060, 30061..30105, 30106..30150, 30151..30195, 30196..30240, 30241..30285, 30286..30330, 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