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

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Question 860054: Find an equation of the line having the given slope and containing the given point m=2/3,(2,-7)
Click here to see answer by mananth(16946)

Question 860052: Find an equation of the line having the given slope and containing the given point m=2/3,(2,-7)
Click here to see answer by josgarithmetic(39617)

Question 860080: Find an equation of the line given slope and containing the given point. M=2/3,(7,-4). The equation of the line is y=?
Click here to see answer by josgarithmetic(39617)

Question 860539: A system of inequalities is defined by the following formula. 10x+6y<30 and 6x-10y>30 What part of the graph do I shade?
Click here to see answer by josgarithmetic(39617)

Question 860609: What is the line containing the points (-5,-1) and (-4,0)
Click here to see answer by ewatrrr(24785)

Question 860627: 2x + -3y = 18 graph?
Click here to see answer by ewatrrr(24785)

Question 860653: Y=x
3x+2y=20
Click here to see answer by ewatrrr(24785)

Question 860712: Which of the following graphs shows the solution of y + 2x + 2 = 0 and y = ?
Could please help solve and graph?
Thank you,
Click here to see answer by ben720(159)

Question 860769: How do you graph the following linear equation: 21x - 28y +7 =0?
Click here to see answer by ewatrrr(24785)

Question 860862: Ok i have this problem its 3x+4y=8
X-3y=-6
How do i solve it
Click here to see answer by mananth(16946)

Question 861018: Find the asymptotes, maxima and the minima of the following functions
f(x)= 1/( x^3 + x^2 - x - 1)
Click here to see answer by ewatrrr(24785)

Question 861022: Which choice is the graph of a line parallel to the line represented by this equation?
y=2/3x+2

Click here to see answer by ewatrrr(24785)

Question 861143: 2x-5y=4 write each equation in slope-intercept form, then identify the slpoe and y intercept if they exist.

Click here to see answer by ewatrrr(24785)

Question 861333: need to find the equation in standard form for the following points, i have to show all the work
(37142986532477987839, 24673218654327873897)
(13247142386233548621, - 477139508416805349681)
i have to do the problem by hand since the amount of digits is too long for a calculator
so far i got -452466289762477475784
-36104155853755560782
i got that by subtracting y2-y1 and x2-x1
can't quite get the division part down
need help !!!
thanks

Click here to see answer by Fombitz(32388)

Question 861439: Find the slope of the line containing each pair of points:
1. (1,3) and (4,9)
2. (5, -2) and (1,6)
3. (-1, 4) and (3,4)
4. (6, 3) and (2,4)
5. (-3,-2) and (2,1)
Click here to see answer by solver91311(24713)

Question 861761: Graph the following systems on the grid provided ? and find the slope (m) and y - intercept (b)
x-y=6
Click here to see answer by Fombitz(32388)

Question 861904: 4x + 4y = 24 solve for y
Click here to see answer by Fombitz(32388)

Question 861943: having trouble solving these equations:
3x-y=3 when x=o
5x-y=7 when x=2
y=-3x-5 when x=1

Click here to see answer by ewatrrr(24785)

Question 862003: solve
-7x+y=-19
-2x+3y=-19
solve for x and y
Click here to see answer by Alan3354(69443)

Question 862014: How do I put -3x+3y=4 into slope intercept form?
Click here to see answer by richwmiller(17219)

Question 861993: solve
8x+y=-16
-3x+y=-5
what is x and y
Click here to see answer by Alan3354(69443)

Question 862167: solve by cross multiplication method
QUS: x is divided by a + y is divided by b is equal to a+b,this is first equation
& x is divided by square of a + y is divided by square of b is equal to two,
this is equation two
Click here to see answer by josgarithmetic(39617)

Question 862163: solve by method of elimation
QUS:ax+by=0,x+y-c=0
Click here to see answer by Fombitz(32388)

Question 862213: 3x + 2y = 16 graph
Click here to see answer by metodi022(3)

Question 862379: Question 3

Maxwell Manufacturing makes two models of felt tip marking pens. Requirements for each lot of pens are given below. The profit for either model is $1000 per lot.

Fliptop Model
Tiptop Model
Available

Plastic
3
4
36

Ink Assembly
5
4
40

Molding Time
5
2
30

1.Formulate a LP Model for this problem. .
2.Scan your solution and save it in a pdf file. Submit the file by attaching..
Answer

Attach File

Attach Local File
.

.
10 points

Question 4

Muir Manufacturing produces two popular grades of commercial carpeting among its many other products. In the coming production period, Muir needs to decide how many rolls of each grade should be produced in order to maximize profit. Each roll of Grade X carpet uses 50 units of synthetic fiber, requires 25 hours of production time, and needs 20 units of foam backing. Each roll of Grade Y carpet uses 40 units of synthetic fiber, requires 28 hours of production time, and needs 15 units of foam backing.

The profit per roll of Grade X carpet is $200 and the profit per roll of Grade Y carpet is $160. In the coming production period, Muir has 3000 units of synthetic fiber available for use. Workers have been scheduled to provide at least 1800 hours of production time (overtime is a possibility). The company has 1500 units of foam backing available for use. 1.Formulate a LP Model for this problem .
2.Scan your solution and save it in a pdf file. Submit the file by attaching..
Answer

Attach File

Attach Local File
.

.
10 points

Question 5

The Sanders Garden Shop mixes two types of grass seed into a blend. Each type of grass has been rated (per pound) according to its shade tolerance, ability to stand up to traffic, and drought resistance, as shown in the table. Type A seed costs $1 and Type B seed costs $2. If the blend needs to score at least 300 points for shade tolerance, 400 points for traffic resistance, and 750 points for drought resistance, how many pounds of each seed should be in the blend?

Type A
Type B

Shade Tolerance
1
1

Traffic Resistance
2
1

Drought Resistance
2
5

1. Formulate a LP Model for this problem. Formulate a LP Model for this problem.
2. Scan your solution and save it in a pdf file. Submit the file by attaching.Answer

Attach File

Attach Local File
.

Click here to see answer by solver91311(24713)

Question 862377: Question 1

Given is a LP model.

Max
Z = 4x + 5y

s.t.
x + 3y ≤ 22

−x + y ≤ 4

y ≤ 6

2x − 5y ≤ 0

x≥ 0, y ≥ 0
1.Plot all constraint equations on the same graph. .
2.Shade the Feasible region. .
3.Label the corner points of the Feasible region. .
4.Solve for decision variables x and y. .
5.Solve for Z. .
6.Scan your solution and save it in a pdf file. Submit the file by attaching..
Answer

Attach File

Attach Local File
.

.
20 points

Question 2

Given is a LP model.

Min
Z = 150x + 210y

s.t.
3.8x + 1.2y ≥ 22.8

y ≥ 6

y ≤ 15

45x + 30y = 630

x≥0, y ≥ 0
1.Plot all constraint equations on the same graph. .
2.Shade the Feasible region. .
3.Label the corner points of the Feasible region. .
4.Solve for decision variables x and y. .
5.Solve for Z .
6.Scan your solution and save it in a pdf file. Submit the file by attaching..
Answer

Attach File

Attach Local File
.

Click here to see answer by solver91311(24713)

Question 862458: find a slope of the line that is perpendicular to the line containing the points (3,-7)and (-9,-5)m
Click here to see answer by rfer(16322)

Question 862472: sketch the graph of a function that is not a polynomial?
Click here to see answer by Fombitz(32388)

Question 862468: sketch the graph of a function that is not a polynomial
Click here to see answer by Fombitz(32388)

Question 862467: -5u+2x=22
-u-6x=34
Click here to see answer by Fombitz(32388)

Question 861912: 3x + 2y > 16 graph
Click here to see answer by Fombitz(32388)

Question 862662: A company is about to go bankrupt. The function for its revenues R (in thousands) is modelled by R(t) = -5t + 80, where t represents time, measured in hours. Answer the following:

1) At what rate is the company sinking?

2) How many assets did it have before it started its decline?

3) How many days will it take for the comapny to go completely bankrupt?

Click here to see answer by ewatrrr(24785)

Question 862673: the left and right page numbers of an open book are two consecutive integers whose sum is 267. find these page numbers.
Click here to see answer by ewatrrr(24785)

Question 862957: Calculate the value of -3(x-y),if: x=-2 and y=4

Click here to see answer by Alan3354(69443)

Question 863085: solve
8(-8x-6)=-6x-22
Click here to see answer by jim_thompson5910(35256)

Question 863083: 5p-6+p=14-2p
Click here to see answer by jim_thompson5910(35256)

Question 863084: cost for bowling at blue oaks bowling alley are $2.50 for shoes and $4.25 for each game bowled. Austin bowled 5 times. what was the total cost to bowl
write an equation and solve
Click here to see answer by ewatrrr(24785)

Question 863150: Write point slope form of an equation of a line for
(2,-6) (2,5) should be x=2 ? but how to get there from point slope form ?
Click here to see answer by Alan3354(69443)

Question 863147: Write point slope form of an equation of a line for
(2,-6) (2,5)
Click here to see answer by lwsshak3(11628)

Question 863287: Can you help me to write this number in scientific notation.
3,486,000
Click here to see answer by ewatrrr(24785)

Question 863242: Solve the linear equation : 2x+3y=3, x-2y=5 and 3x+2y=7.

Click here to see answer by ben720(159)

Question 863370: Can you help me to write this in scientific notation.
0.00075
Click here to see answer by Fombitz(32388)

Question 863517: the graph of a line contains the points (3,8) and (-3,8). which of the following is true about the graph of this line?
Click here to see answer by Alan3354(69443)

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