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

Tutors Answer Your Questions about Linear-equations (FREE)

Question 1071358: Copperfield Mining Company owns two mines, each of which produces three grades of ore high, medium, and low. The company has a contract to supply a smelting company with at least 12 tons of high-grade ore, 8 tons of medium-grade ore, and 24 tons of low-grade ore. Each mine produces a certain amount of each type of ore during each hour that it operates. Mine 1 produces 6 tons of high-grade ore, 2 tons of medium-grade ore, and 4 tons of low-grade ore per hour. Mine 2 produces 2, 2, and 12 tons, respectively, of high-, medium-, and low-grade ore per hour. It costs Copperfield $200 per hour to mine each ton of ore from mine 1, and it costs $160 per hour to mine each ton of ore from mine 2. The company wants to determine the number of hours it needs to operate each mine so that its contractual obligations can be met at the lowest cost.
a. Formulate a linear programming model for this problem.
b. Solve this model by using graphical analysis.

Click here to see answer by Theo(13342)

Question 1071475: Write an equation for the line through the point (10,2)with slope 4 in point-slope form y = y_0 + m(x-x_0).

Click here to see answer by josgarithmetic(39617)

Question 1071476: Write the equation for the line y - 2 = 7 (x - 5) in the form y = m x + b

Click here to see answer by josgarithmetic(39617)

Question 1071480: The equation of the line with slope -2 that goes through the point ( -7 ,-5 ) can be written in the form y = mx+b where m is________ and B is __________

Click here to see answer by josgarithmetic(39617)

Question 1071478: Write an equation for the line through the points (3,9) and (9,10) in point-slope form y = y_0 + m(x-x_0)

Click here to see answer by josgarithmetic(39617)

Question 1071666: how do you graph y=5x+1

Click here to see answer by Fombitz(32388)

Question 1071672: 7x-5y=-9 in slope intercept form

Click here to see answer by srinivas.g(540)

Question 1071677: y=f(x)=-4x
Click here to see answer by Fombitz(32388)

Question 1071691: Use the numerical method to calculate the BEP of a wine company that sells a 1000 litres of wine per week at R12 per litre.they produce the wine at R8 per litre and their total fixed cost to operate their plant and to produce their wine is R R2000 per week

Click here to see answer by Fombitz(32388)

Question 1071562: A right triangle has one vertex on the graph of y=x^3, x>0, at (x,y), another at the origin, and the third on the positive y-axis at (0,y), as shown in the figure. Express the area A of the right triangle as a function of x.
Click here to see answer by Fombitz(32388)

Question 1071734: Find an equation of the line tangent to each curve through the given point
1. y=x2-3x+7 (2,5)
Click here to see answer by Alan3354(69443)

Question 1071734: Find an equation of the line tangent to each curve through the given point
1. y=x2-3x+7 (2,5)
Click here to see answer by Edwin McCravy(20055)

Question 1071736: find the value(s) of the variable that makes the equation true. Separate multiple answers with commas.
x^(1/7)=6
Click here to see answer by math_helper(2461)

Question 1071736: find the value(s) of the variable that makes the equation true. Separate multiple answers with commas.
x^(1/7)=6
Click here to see answer by ikleyn(52781)

Question 1071786: How many solutions does the system of equations 5x - 4y = 8 and 5x - 4y = 2 have?
Click here to see answer by josgarithmetic(39617)

Question 1071786: How many solutions does the system of equations 5x - 4y = 8 and 5x - 4y = 2 have?
Click here to see answer by ikleyn(52781)

Question 1071825: What is the answer for: 5x-4y=-20

Click here to see answer by Fombitz(32388)

Question 1071820: Y<5/2x+3
Click here to see answer by Fombitz(32388)

Question 1071908: The y-intercept, to the nearest hundredth, of the line 11x + (-3)y = 3 is

Click here to see answer by Alan3354(69443)

Question 1071970: x=-8 and y=-2
work out the formula being used
Click here to see answer by ikleyn(52781)

Question 1071998: What is y=-3+6 in slope intercept form
Click here to see answer by Fombitz(32388)

Question 1072007: 1. Given m = 3 and the point (8, 0), which of these points are on the same line?
�
�
a) (11, 3)
b) (5, -3)
c) (2, 0))
d) none of the above
Click here to see answer by Fombitz(32388)

Question 1072011: Find the equation of the line with m = 3 and passing through point (3, 0).
�
�
a) y = 3x � 9
b) y = 3x � 3
c) y = 3x + 9
d) y = 3x + 3
Click here to see answer by math_helper(2461)

Question 1072016: Write the point-slope form of the line passing through (2, -12) and perpendicular to y = 3x.
Click here to see answer by math_helper(2461)

Question 1072008: These two equations are perpendicular to one another.
y = x � 1
y = -x + 1
What can you do to determine if the point (1, 0) is the point where they intersect?
�
�
a) Test (1, 0) in both equations to see if it is a solution in both.
b) Graph the two equations and see if they intersect at (1, 0).
c) Find the x-intercept for both equations and see if it is (1, 0) in both cases.
d) all of the above
Click here to see answer by Fombitz(32388)

Question 1071999: Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
A line passes through point (-2, 5) and has a slope of . Points A(x, 3) and B(-2, y) lie on the line.
The value of x is
, and the value of y is
Click here to see answer by Alan3354(69443)

Question 1072010: Given m = -0.75 which of these points are on the same line as the point (2.5, 1.25)?
�
�
a) (3.5, .5)
b) (1.5, 2)
c) (4.5, -.25)
d) All of the above

Click here to see answer by josgarithmetic(39617)

Question 1072009: Find the equation of the line perpendicular to the equation below. It passes through point (2, 2).
4(x + 1) - y = 8
�

Click here to see answer by josgarithmetic(39617)

Question 1072038: 2x-4y=4
x+y=5

Click here to see answer by Fombitz(32388)

Question 1072053: Find the x-, y-, and z-intercepts for the following equation.
2x � 6y � 3z = 12
Click here to see answer by Fombitz(32388)

Question 1072103: Write a linear equation for the following table (1,4) (1.5,6),(2,8)

Click here to see answer by Alan3354(69443)

Question 1072090: solve 6x^2 ≤ 6 + 5x

Click here to see answer by josgarithmetic(39617)

Question 1071904: a dry cleaning store has a weekly cost equation of C=0.25x+1500 and a weekly revenue of R=4x, where x is number of garments cleaned in a week. how many garments must be cleaned in a week for te compsny to make a profit?
I got
4x>0.25x+1500
Click here to see answer by Fombitz(32388)

Question 1072217: Hi, I am having some trounble trying to figure out this problem... Can you please help me? Here's the problem:
The Madison High School Marching Band sold gift wrap to earn money for a band trip. Solid color gift wrap sells for $4 per roll and printed gift wrap sells for $6 per roll. The band needs to earn $2340 for an upcoming competition. If the band sells 340 rolls of printed paper, write and solve a linear equation to find the number of solid paper they must sell.

Click here to see answer by josgarithmetic(39617)

Question 1072248: i need help with finding the slope of -2 and passes through (3,5)
Click here to see answer by stanbon(75887)

Question 1072248: i need help with finding the slope of -2 and passes through (3,5)
Click here to see answer by josgarithmetic(39617)

Question 1072250: i need help with this problem " shop charges $50 plus $25 per hour.
Click here to see answer by josgarithmetic(39617)

Question 1072155: A survey of height and weight is completed for a group of men. The average height is 71 inches and the SD is 5 inches and the average weight is 189 pounds and the SD is 41 pounds. A scatter diagram is plotted and the correlation coefficient is found to be 0.75.

Find the linear regression line. y=
therefore slope= 0.75*sdy/sdx=
0.75-41/5= 6.15
y=6.15x-b
41=6.15 *5= 10.25
y= 6.15x+1025 but it is incorrect
What am I doing wrong?

Click here to see answer by rosie4161026(1)

Question 1072402: RSA census bureau data indicates that the average price of color TV sets can be expressed as linear function of number of sets sold N(thousands) in addition as N increase by 1000 price dropped by R10.40 and when 6485(thousands) sets were sold the average price sets was R504.39
Write equation of line defined by this information
Click here to see answer by Theo(13342)

Question 1072417: find the domain and range of f(x)=3x^2+2X-4
Click here to see answer by KMST(5328)

Question 1072459: The owner of the Rancho Grande has 2952 yd of fencing with which to enclose a rectangular piece of grazing land situated along the straight portion of a river. If fencing is not required along the river, what are the dimensions of the largest area he can enclose?
shorter side = ?yd
Longer side = ?yd
what is the area = ?yd^2
Click here to see answer by Boreal(15235)

Question 1072468: Write a system of linear equations to represent the situation. Then, answer the question using (a) a table, (b) a graph, and (c) algebra.
1. The cost of buying pans and making pies for a bake sale is $15 plus $3.50 for each pie. The revenue is $5.00 for each pie. After how many pies x will the cost equal the revenue?
Cost: Buying pans is $15 plus $3.50 times number of pies.
Revenue: Income from selling pies is $5 times number of pies.
Click here to see answer by josgarithmetic(39617)

Question 1072479: Ace cruiser line offers an inland waterway cruise to a group of 50 people for a price of R30 per person but it reduces the price person by R0.50 for each additional person above 50
How many people will provide maximum revenue for the cruise?
What is average rate of change if a group increase from 50 to 55 people?
Click here to see answer by josgarithmetic(39617)

Question 1072492: Residential customers who heat their home with natural gas have their monthly bills calculated by adding a base service charge R5.19 per month and energy charge R51.91 cents per hundred m^3 write an equation for the monthly charge y in terms of x, the number of hundred of m^3 used

Click here to see answer by Theo(13342)

Question 1072502: The line x+(2k-1)y = 6 and 3x+ky=2 are parallel.Fink K
Click here to see answer by josgarithmetic(39617)

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