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

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Question 1163193: 1/2x+y=15;-x-1/3y=-6
Click here to see answer by Alan3354(69443)

Question 1163202: simplify the given equation
suppose that sec(a)=5/4 and tab(b)=-1, where 0
Click here to see answer by greenestamps(13200)

Question 1163291: Find the measure of the third angle of each triangle in which the measures of two angles of the triangle are given. y,x
Click here to see answer by Alan3354(69443)

Question 1163295: The amount of gas in a gas tank is a linear function based on the number of miles driven on the open highway. Use the data in the following table to answer the questions:
Amount of gas (gallons)
18
12
8
Number of miles driven
90
360
540
a) What is the slope of the function?
b) What is the y-intercept of the function?
c) Write an equation that could be used to model this linear function expressing miles driven, M(x), in terms of amount of gas, x, in the tank:
d) How many gallons of gas does the gas tank hold?

What does this represent in the function?
e) How many miles per gallon does this particular vehicle get on the open highway?

What does this represent in the function?
f) If you can drive 75 mph on the open highway, how long will it take before you run out of gas?
Click here to see answer by josgarithmetic(39617)

Question 1163299: y=1/2x-4
Click here to see answer by Alan3354(69443)

Question 1163306: Find two numbers whose sum is 72 and whose difference is 10. The two numbers are?
Click here to see answer by ikleyn(52781)

Question 1163306: Find two numbers whose sum is 72 and whose difference is 10. The two numbers are?
Click here to see answer by MathTherapy(10552)

Question 1163365: a flagpole 6.3m is driven 1.4m into the ground.wnat fraction of the pole is above the ground?
Click here to see answer by ikleyn(52781)

Question 1163365: a flagpole 6.3m is driven 1.4m into the ground.wnat fraction of the pole is above the ground?
Click here to see answer by Alan3354(69443)

Question 1163584: If x = 3 and y = -2
Find the value of 6x/y
Click here to see answer by ikleyn(52781)

Question 1163698: Y^i = 125.1 + 4.03Xi calculate Yi - hat for Xi =18.27
Click here to see answer by ikleyn(52781)

Question 1163709: graph line with slope -1/3 passing through 2, 3
Click here to see answer by josgarithmetic(39617)

Question 1163709: graph line with slope -1/3 passing through 2, 3
Click here to see answer by ikleyn(52781)

Question 1163709: graph line with slope -1/3 passing through 2, 3
Click here to see answer by Alan3354(69443)

Question 1163765: What is an equation of the line which is parallel to 3x+7y=4 and passes
through (5,-2) ?
Click here to see answer by Boreal(15235)

Question 1163765: What is an equation of the line which is parallel to 3x+7y=4 and passes
through (5,-2) ?
Click here to see answer by Edwin McCravy(20055)

Question 1163765: What is an equation of the line which is parallel to 3x+7y=4 and passes
through (5,-2) ?
Click here to see answer by MathTherapy(10552)

Question 1163774: Use slope-intercept form to write the equation of the line with the given properties.
m = 2, passing through (−2, −1)
Click here to see answer by Boreal(15235)

Question 1163774: Use slope-intercept form to write the equation of the line with the given properties.
m = 2, passing through (−2, −1)
Click here to see answer by ikleyn(52781)

Question 1163775: Write the equation of the line that passes through the given point and is parallel to the given line. Write the answer in slope-intercept form.
(−8, 6),parallel to y + 3x = −12
Click here to see answer by ikleyn(52781)

Question 1163769: A hunter shoots an arrow straight up using a bow.The arrow rises, stops high up in the air, then falls back down. The arrow lands 10 seconds after it was laucnhed. Assuming that the arrow spends an equal amount of time falling as it does rising, what was the initial velocity of the arrow?
Click here to see answer by ikleyn(52781)

Question 1163772: x-3y=4 and 3x+y=1
Click here to see answer by Alan3354(69443)

Question 1163818: Through the point (2,4) and perpendicular to the line whose equation is y-5y+10=0.
Click here to see answer by josgarithmetic(39617)

Question 1163817: Through the point (-2,3) and parallel to the line whose equation is 2x-y-2=0.
Click here to see answer by josgarithmetic(39617)

Question 1163819: Through the point (2,4) and perpendicular to the line whose equation is x-5y+10=0.
Click here to see answer by solver91311(24713)

Question 1163819: Through the point (2,4) and perpendicular to the line whose equation is x-5y+10=0.
Click here to see answer by josgarithmetic(39617)

Question 1163820: consider A(-4,7) and B(1,-3). Do the following:
(a) determine the coordinates of the midpoint M of the line segment from A to B;

Click here to see answer by solver91311(24713)

Question 1163825: what is the point and slope of the equation y - 15 = -2(x + 1)
Click here to see answer by Cromlix(4381)

Question 1163825: what is the point and slope of the equation y - 15 = -2(x + 1)
Click here to see answer by Alan3354(69443)

Question 1163825: what is the point and slope of the equation y - 15 = -2(x + 1)
Click here to see answer by josgarithmetic(39617)

Question 1163907: What is/are the value or values of the variable that make(s) the denominators zero?
2/x + 5 = 5/3x + 31/6
Click here to see answer by josgarithmetic(39617)

Question 1163906: Show by means of slopes that the four points (0,0), (-2,1), (3,4), and (5,3) are vertices of a parallelogram (a quadrilateral with opposite sides parallel).
Click here to see answer by greenestamps(13200)

Question 1163986: The equation of a curve is y= √(5x+4)
i. Calculate the gradient of the curve at the point where x = 1

Click here to see answer by solver91311(24713)

Question 1163986: The equation of a curve is y= √(5x+4)
i. Calculate the gradient of the curve at the point where x = 1

Click here to see answer by ikleyn(52781)

Question 1164022: 5. A company imports goods at two ports: Philadelphia and New Orleans. Shipments of one
product are made to customers in Atlanta, Dallas, Columbus, and Boston. For the next
planning period, the supplies at each port, customer demands, and shipping costs per case
from each port to each customer are as follows:

Develop a network representation of the distribution system (transportation problem).

Click here to see answer by greenestamps(13200)

Question 1164176: Graph the given equation.
y = −4/5x + 4
Click here to see answer by ikleyn(52781)

Question 1164238: solve the system by graphing. write solution set
x=8-3y
2x+6y=16

Click here to see answer by Edwin McCravy(20055)

Question 1164275: Find the value of k so that the line containing the points (6,1) And (-5,k) is parallel to the line containing the points (−4,10) and (-9,8).
Click here to see answer by josgarithmetic(39617)

Question 1164278: Find the value of k so that the line containing the points (-2,k) and (7,-3) is perpendicular to the line containing the points (0,5) and (-5,2).
Click here to see answer by josgarithmetic(39617)

Question 1164326: Find the solution of the following equation for the given variable at the right of the comma
M=((L)/(F))((25)/(f)+1) ,f
Click here to see answer by greenestamps(13200)

Question 1164326: Find the solution of the following equation for the given variable at the right of the comma
M=((L)/(F))((25)/(f)+1) ,f
Click here to see answer by solver91311(24713)

Question 1164432: what is the equation of the line
Year t 0 1 2 3 4
Connections c
(Thousands) 5 15 30 70 155

Click here to see answer by josgarithmetic(39617)

Question 1164433:
Click here to see answer by josgarithmetic(39617)

Question 1164462: The graph of the function g(x) contains the point (8,1/2) What point must be on the graph of y = 2g(x+2)
Click here to see answer by greenestamps(13200)

Question 1164467: The average rate of change of f(x) over the interval is A is less then or equal to x is greater then or equal to B is 30 , where a and b denote constants. For y = 5f(x), give the average rate of change over the interval A is less then or equal to x is greater then or equal to B.
The average rate of change of is 5f(x) is
Click here to see answer by ikleyn(52781)

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