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

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Question 983057: Pls help solve below two questions:
Question No. 1
x/3 - y/4 = 2x - y +12
Question No. 2
A Company manufactures two different products, A and B. Each unit of product A costs $6 to produce and each unit of product B costs $4. The Company insists that total costs for the two products be $500.
(a) Define the cost equation which states that the total cost of producing x units of product A and y units of product B equals $500
(b) Assuming the Company has agreed to fill an order for 50 units of product A, how many units of product B should be produced if total costs are to be kept at $500?

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Question 983134: What is the slope of the line that passes through (a,2b) and (1/a^2,2b)
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Question 983132: If the line whose equation is y = x + 2k passes through point (3, -5) , then k =

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Question 983130: What is the slope of the line that passes through (1, 5) and is parallel to the line that passes through (-2, 3) and (2, -3).

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Question 983129: The slope of the line passing through P(1,4) and Q(x,1) is -3/5. What is the value of x?

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Question 983133: The length of the line segment whose endpoints are (3,2) and (-2,1) is

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Question 983135: What is the slope of the line that passes through (a,2b) and (1/a^2,2b)
Click here to see answer by KMST(5328) About Me 

Question 983198: find the equation of: perpendicular to 3x−5y=5 and having an x-intercept of 3
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Question 983218: What is the linear equation that has the following solutions?
x= -9 y= 1856
x= -6 y= 1226

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Question 983223: The slope of the line passing through P(1,4) and Q(x,1) is -3/5. What is the value of x?
a. 6
b. 7
c. 9
d. 10

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Question 983233: The slope of the line passing through P(1,4) and Q(x,1) is -3/5. What is the value of x?
a. 6
b. 7
c. 9
d. 10
I have tried several times to solve this myself and cannot seem to get the correct answer. Any help solving the problem would be greatly appreciated. Thanks!

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Question 983241: What is the linear equation that has the following solutions?
x=12 y=-161/6
x=13 y=-29

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Question 983222: What is the linear equation that has the following solutions?
x= -9 y= 1856
x= -6 y= 1226

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Question 983232: What is the linear equation that has the following solutions?
x=12 y=-161/6
x=13 y=-29

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Question 983283: Consider the function Y = x2 – 2x – 15 and determine the followings:
a. Slope of the function.
b. The intercept.
c. Whether the function has a minimum or a maximum
d. Minimum or a maximum value of the graph

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Question 983288: In the diagram, is divided into eight equal parts. What are the coordinates of point A?
Click here to see answer by Alan3354(69443) About Me 

Question 983318: The slope of the line passing through P(1,4) and Q(x,1) is -3/5. What is the value of x?
a. 6
b. 7
c. 9
d. 10

Click here to see answer by Timnewman(323) About Me 

Question 983287: In the diagram, is divided into eight equal parts. What are the coordinates of point A?
Click here to see answer by Alan3354(69443) About Me 

Question 983387: I need help to find the gradient. I need the FORMULA for finding the gradient in a manner I can understand.
4x + 5y - 9 = 0
I get 5y/4x - 9 = 0
gradient 5/4?

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Question 983392: Negative 16 plus the quotient of a number and -4 is -3

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Question 983411: How can i solve this eguation y=2x-4 ?
Click here to see answer by josgarithmetic(39617) About Me 

Question 983421: If I wanted to make a graph of y=3x+1 which equation could I use

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Question 983449: Are the graphs of the lines in this pair parallel?
y=3x-1
6x-y=-6

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Question 983535: Find the value of k if the line joining (4, k) and (6, 8) and the line joining (-1, 4) and (0, 8) are a.) parallel, b.) perpendicular
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Question 983539: Three consecutive integers are n, n +1 and n+2. Four times the sum of the least and greatest integers is 12 less than three times the least integer. What is the least integer?
Click here to see answer by josgarithmetic(39617) About Me 

Question 983510: x=-1 graph
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Question 983601: I need help solving y= 5+4x
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Question 983599: Y= -3x how do I solve this
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Question 983599: Y= -3x how do I solve this
Click here to see answer by Alan3354(69443) About Me 

Question 983679: Determine the slope and the y-intercept. Then draw a graph.
g(x)= -0.25x
slope:-0.25
y-intercept: (0,0)
I plotted (0,0) on the graph. For the slope and rise and run plot, I have (1, -0.25). The book's rise and run plot is (4,-1). Please help as I'm confuse with the rise and run of -0.25.

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Question 983796: x + ay = 3
2x + 5y = b
for which values of a does each system have a unique solution, and for which pairs of values (a,b) does each system have more than one solution?

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Question 983796: x + ay = 3
2x + 5y = b
for which values of a does each system have a unique solution, and for which pairs of values (a,b) does each system have more than one solution?

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Question 983805: hey guys I am really struggling with something at the moment, ill show you.
it has to with the - + signs.
if I have 2-5x=3x+2
am I reading the equation as -5x -3x = 2-2? or am I reading it as 5x-3x= 2-2.
super confused at the moment would be great if you could help me out
Cheers jeremy

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Question 983847: x+2y+3z=1,3x-y+z=1,4x+2y+z=3
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Question 983956: Solve
2x+3y=5
xy=1

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Question 984038: 2x - y< 2; x + 3y>3
I was trying to solve this problem but I'm stuck. It's also hard to graph.
Thank you
Cindy


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Question 984079: Please solve the following for me.
Find the equation of the plane through the three points (1,-1,-1),(-3,2,-1) and (-2,3,0)

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

Question 984073: 4. The number of dollars per month it costs you to own a car is a related to the number of
kilometers per month that you drive. Based on information in an issue of Time magazine, the cost
varies linearly with relation to the distance driven. It is known to cost $365 per month if 300 km
are driven, and $515 per month 1500 km are driven. (3 points each)
a. What is the independent variable and what is the dependent variable?

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Question 984072: 3. The amount of money that it costs to ride in a taxi cab in Miami is based on the distance driven in
miles and can be represented by a linear model. You take two taxi rides. The first travels 12 miles
and costs you $24.85 and the second travels 5 miles and costs $12.25. (3 points each)
b. Write an equation expressing the miles driven (M) as it relates to the final cost (C).

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Question 984071: The value of a 2003 Toyota Corolla can be modeled by the linear equation 𝑉𝑉 = −1402𝑇𝑇 + 17600,
where V is the value in dollars and T is the time in years after 2003.
a. Use the equation to predict what the value of the Corolla would be in 2009. (3 points)
b. In what year would you predict the value of the Corolla to be $7080? (3 points)
c. Based on this model, what was the cost of a brand new Corolla?




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Question 984077: Find the equation of the line joining (1,3,-1) to (2,4,7). Show that it is parallel to the plane 2x+6y-z=5
Click here to see answer by Edwin McCravy(20055) About Me 

Question 984013: A woman died living behind 13 children if her first born is 22 and last born is 3month old find the age difference between the childrens
Click here to see answer by Boreal(15235) About Me 

Question 984122: 2. The value of a 2003 Toyota Corolla can be modeled by the linear equation V=-1402T+17600, where V is the value in dollars and T is the time in years after 2003.
a. Use the equation to predict what the value of the Corolla would be in 2009. (3 points)


b. In what year would you predict the value of the Corolla to be $7080? (3 points)


c. Based on this model, what was the cost of a brand new Corolla?

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

Question 984175: How can I solve this equation?:
Write the equation of the following lines: through (0, -1), m = -1

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Question 984198: a line passing through points A (1,-2) and B (4,-3) write the equation of a linear function in point slope form & in slope-intercept form
Click here to see answer by macston(5194) 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, 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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