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

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Question 1013287: The graph of an inequality in two variables involves a boundary that is the graph of the equation that would result from changing the inequality sign to an equals sign.
True or false

Click here to see answer by ikleyn(52780) About Me 

Question 1013274: The graph of an inequality in two variables involves a boundary that is the graph of the equation
that would result from changing the inequality sign to an equals sign.
True or false

Click here to see answer by ikleyn(52780) About Me 

Question 1013267: If the left side of an inequality is an absolute value and the right side is not and the sides are separated by a sign indicating "less than" or "less than or equal to", then any solution that is a compound inequality involves two single inequalities separated by "or".
True or false

Click here to see answer by fractalier(6550) About Me 

Question 1013286: If the left side of an inequality is an absolute value and the right side is not and the sides are separated by a sign indicating "less than" or "less than or equal to", then any solution that is a compound inequality involves two single inequalities separated by "or".
True or false

Click here to see answer by fractalier(6550) About Me 
Question 1013286: If the left side of an inequality is an absolute value and the right side is not and the sides are separated by a sign indicating "less than" or "less than or equal to", then any solution that is a compound inequality involves two single inequalities separated by "or".
True or false

Click here to see answer by ikleyn(52780) About Me 

Question 1013350: How I Translate, solve, and graph the following equation?
-3 times a number more than 2 is greater than 32

Click here to see answer by josgarithmetic(39617) About Me 

Question 1013387: Find the product of a and a + b.
Click here to see answer by macston(5194) About Me 

Question 1013386: What is the product of -12x and 5x - 7?

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Question 1013384: If b is unequal to 0, then (a/b)³ = a³/b³.
True or false

Click here to see answer by ikleyn(52780) About Me 
Question 1013384: If b is unequal to 0, then (a/b)³ = a³/b³.
True or false

Click here to see answer by macston(5194) About Me 

Question 1013402: Newport and Vernonville are 112 miles apart. A car leaves Newport traveling towards Vernonville, and another car leaves Vernonville at the same time, traveling towards Newport. The car leaving Newport averages 10 miles per hour more than the other, and they meet after 1 hour and 36 minutes. What are the average speeds of the car?
The car leaving Newport averages ___ mph
The car leaving Vernonville averages ___ mph

Click here to see answer by josgarithmetic(39617) About Me 

Question 1013409: I think this is a linear equation, but anyways, here's the problem:
The length of a room is four times its width. If the perimeter is 250 feet, what are the dimensions of the room? I set up two equations:
1) 4l +w=250
2) l -w =0
I used the method of elimination and ended up with:
5l = 250 and then I divided by 5.
The result was l = 50. I divided that by 4 and got 12.5 inches which I presumed was the measurement of the width. My final answer was:
l=50 in and w=12.5 in (there is no dimension specified, but I used inches)

Am I correct, or was I supposed to plug 50 back in to the original equation?
Thanks for helping, and please show your work!

Click here to see answer by josgarithmetic(39617) About Me 

Question 1013406: Determine the product of the following. (5j - 9k)²
Click here to see answer by MathLover1(20849) About Me 

Question 1013388: Determine the product of the following. (5j - 9k)²
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Question 1013404: Find the following difference. (-28x³y³z + 34x³y³ - 4z) - (52x³y³z + 22x³y³ - 41z)
Click here to see answer by Edwin McCravy(20054) About Me 

Question 1013382: Find the following difference. (-28x³y³z + 34x³y³ - 4z) - (52x³y³z + 22x³y³ - 41z)
Click here to see answer by fractalier(6550) About Me 

Question 1013476: Please help me!
The length of a rectangle is y + 5, and the width of the rectangle is y - 3. What is the area of the rectangle? Formula: A = lw

Click here to see answer by fractalier(6550) About Me 

Question 1013448: (10,1);=1/5

Click here to see answer by macston(5194) About Me 

Question 1013481: The table shows values of y as a function of x.
Which linear equation best describes the relationship between x and y?
X Y
2. 10
6 25
14 55
26 100
33 130

Click here to see answer by stanbon(75887) About Me 

Question 1013522: Which equation represents a line with a slope of -2

Click here to see answer by fractalier(6550) About Me 

Question 1013528: (2,-1); y=2x+1
Click here to see answer by Alan3354(69443) About Me 
Question 1013528: (2,-1); y=2x+1
Click here to see answer by fractalier(6550) About Me 

Question 1013561: Help me please!
4p² + 28p + 49 = (2p + 7)²
True or false?

Click here to see answer by Alan3354(69443) About Me 

Question 1013566: Please help me!
81p² + 45pq + 25q² is a perfect square trinomial.

True

False

Click here to see answer by KMST(5328) About Me 

Question 1013577: Solve by using substitution.
2x = y - 4
-3y = x - 5

Click here to see answer by stanbon(75887) About Me 

Question 1013565: Please help me out!!!

Completely factor 9x² + 10x + 1.

Click here to see answer by ikleyn(52780) About Me 

Question 1013554: Please help! It would greatly appreciated!
Determine the solution set for (x - 8)(x + 11) = 0.

Click here to see answer by josgarithmetic(39617) About Me 

Question 1013553: Please help!

A trinomial consisting of a first term that is a perfect square, a middle term that is twice the product of the square roots of the first and third terms, and a third term that is a perfect square can be factored as the square of a binomial.

True

False

Click here to see answer by MathTherapy(10552) About Me 

Question 1013738: Find an equation of the line having the given slope and containing the given point:
M=9 (-5,-3)

Click here to see answer by Alan3354(69443) About Me 

Question 1013290: As with equations, some variable inequalities have equivalent inequalities that have no variable and are false. Such equations have no solution, and such inequalities also have no solution.
True or false

Click here to see answer by richard1234(7193) About Me 

Question 1013794: A heartbeats about 68 beats per minute. Write an equation for the relationship between the number of heartbeats and the number of minutes that pass.
Click here to see answer by ikleyn(52780) About Me 

Question 1013850: Which of the following equations is the equation 2 - 3y + 6x = 0 written in slope-intercept form?

Click here to see answer by Alan3354(69443) About Me 
Question 1013850: Which of the following equations is the equation 2 - 3y + 6x = 0 written in slope-intercept form?

Click here to see answer by macston(5194) About Me 

Question 1013877: how do you graph y > |x– 3|?
Click here to see answer by Edwin McCravy(20054) About Me 

Question 1013896: how do you solve x-1/2+x-4/3=5/6

Click here to see answer by fractalier(6550) About Me 

Question 1013954: Solve this system by using by using graphing method and elimination method
x-y=1
3x-y=3

Click here to see answer by Alan3354(69443) About Me 

Question 1013958: The sum of two consecutive integers is at most three. What is the greatest possible value for the greater integer?
Click here to see answer by MathLover1(20849) About Me 

Question 1014031: How do you put 4y-2x=4 into y=mxtb?
Click here to see answer by crabbyoldgamer(13) About Me 

Question 47904: In a town election with two candidates, the winning candidate had 220 more votes than the loser. If 810 votes were case in all, how many votes did each candidate receive?
Click here to see answer by Bucket(1) About Me 

Question 1014141: I am trying to determine the diameter of a cylinder with the requirement that the diameter at one end is 10% larger than the smaller end. How do I calculate it if the length of the cylinder is equal to larger diameter or if the length of the cylinder varies from half to triple the diameter?
for example R1 = 10 R2 = x h = 10
R1 = 10 R2 = X h = 5
R1 = 10 R2 = x h = 18

Click here to see answer by ikleyn(52780) About Me 

Question 1014194: Four steps to derive the quadratic formula are shown below.
I x^2+(-b)/a x=(-c)/a
II (x+b/2a)^2=(b^2-4ac)/(4a^2 )
III x=±√((b^2-4ac)/(4a^2 ))-b/2a
IV x^2+bx/a+(b/2a)^2=(-c)/a+(b/2a)^2
what is the correct order?!

Click here to see answer by ikleyn(52780) About Me 

Question 1014246: find out the greater integer which is greater than three times of integer by adding 5 into its two times ( the answer is 6 but how??? please help in solving this question)
Click here to see answer by Theo(13342) About Me 

Question 1014252: determine slope and y intercept of th equation x=3
Click here to see answer by KMST(5328) About Me 

Question 1014258: Jason's age is 3 times Shauna's present age. In 4 years' time, the sum of their ages will be 56. Find their present ages.

Click here to see answer by FrankM(1040) About Me 

Question 1014232: A number consists of two digits whose sum is 9. If 27 is subtracted from the number,it's digits are reversed.Find the number
Click here to see answer by ikleyn(52780) 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, 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