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

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Question 1188588: What is the standard equation if the line whose x-intercept is -3 and y-intercept is -4.
Ty

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

Question 1188587: What is the standard equation if the line passes through (-2,-5) and (3,-3)
Ty

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Question 1188616: passing through (-3, 6) and (3, -2). answer needs to be in slope intercept form.
Click here to see answer by MathLover1(20849) About Me 

Question 1188586: What is the standard equation if the line passes through (1,-2) and (-2,-2)
Ty😊

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

Question 1188629: Write two equations in standard form that are
equivalent to the given equation.
x+y= -10
-x+2y= 9

Click here to see answer by ikleyn(52781) About Me 

Question 1188643: If A(3,6) and C(-1,2) are two vertices of a rhombus ABCD, then find the equation of straight line that lies along the diagonal BD.
Click here to see answer by ikleyn(52781) About Me 

Question 1188642: A line passes through A(2,-2) and B(-4,3). Find the coordinates of the point on the line twice as far from A as from B (show two cases).
Click here to see answer by Alan3354(69443) About Me 

Question 1188706: Prove by induction and through divisibility algorithm that 11^n - 6 is divisible by 5 for every positive integer n.
Click here to see answer by ikleyn(52781) About Me 

Question 1188707: Prove by induction that 2^n>2n gor every positive integer n>2.

Click here to see answer by ikleyn(52781) About Me 

Question 1188705: Prove by induction that 2^n>2n cross%28gor%29 for every positive integer n>2.
Click here to see answer by ikleyn(52781) About Me 

Question 1188752: write an equation in the form of y=. I graphed this on Desmos to figure out the slope but the rate of change of y changes through out the graph.
(9,3) (4,2) (16,4) (1,1) (25,5)

Click here to see answer by ikleyn(52781) About Me 

Question 1188754: A company set aside a certain amount of money in the year 2000. The company spent exactly the same amount from that fund each year on perks for its employees. In 2002, there was still $819,000 left in the fund. In 2006, there was $739,000 left. What is the rate (in dollars per year) at which this company is spending from this fund?
Click here to see answer by ikleyn(52781) About Me 

Question 1188753: By your cell phone contract, you pay a monthly fee plus some money for each minute you use the phone during the month. In one month, you spent 280 minutes on the phone, and paid $29.40. In another month, you spent 400 minutes on the phone, and paid $36.00. What is the rate (in dollars per minute) that the phone company is charging you?
Click here to see answer by ikleyn(52781) About Me 

Question 1188757: Solve and determined the graph of linear equation of lines -2x+y= 2 and x+5= 1, and find the intersection point
Click here to see answer by Theo(13342) About Me 

Question 1188863: Graph y= -2x+7
Click here to see answer by Alan3354(69443) About Me 

Question 1188871: 1−2n/6 = 4n−2/5
Write your answer in whole number or reduced fraction.

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

Question 1188869: 7−3n/2 + n=5
Write your answer in whole number or reduced fraction.

Click here to see answer by MathLover1(20849) About Me 

Question 1188870: 5−3n/3 − 2−n/2 = n/4
Write your answer in whole number or reduced fraction.

Click here to see answer by Solver92311(821) About Me 

Question 1188874: (5−3n / 3) − (2−n/2) = n/4
Click here to see answer by Boreal(15235) About Me 

Question 1188920: (4y/9) - (2y/3) = 10
Click here to see answer by Alan3354(69443) About Me 

Question 1188923: 9/10(y) = 3/5(y) + 3/2
Click here to see answer by ikleyn(52781) About Me 

Question 1188922: (x/5) - (11/3) = (4/3) - (3x/5)
Click here to see answer by ikleyn(52781) About Me 

Question 1188921: (x/4) - 4 = -3 + (x/2)
Click here to see answer by ikleyn(52781) About Me 
Question 1188921: (x/4) - 4 = -3 + (x/2)
Click here to see answer by Alan3354(69443) About Me 

Question 1188907: Please help me solve this.
A city council voted to conduct a study on inner-city community problems. A nearby university was contacted to provide a maximum of 40 sociologists and research assistants. Each sociologist will spend 10 hours per week collecting data in the field and 30 hours per week analyzing data in the research center. Each research assistant will spend 30 hours per week in the field and 10 hours per week in the research center. The minimum weekly labor-hour requirements are 280 hours in the field and 360 hours in the research center. The cost per week for each sociologist and research assistant are Php 5000 and Php 3000 respectively.
A. How many sociologists and research assistants should be hired to meet the weekly laborhour requirements and minimize the weekly cost? What is the weekly cost?
B. Repeat part A if the council decides that they should not hire more sociologists than research assistants.

Click here to see answer by ikleyn(52781) About Me 

Question 1189015: A small petroleum company owns two re neries. Re nery 1 costs $20,000 per day to operate, and it can produce
400 barrels of high-grade oil, 300 barrels of medium-grade oil, and 200 barrels of low-grade oil each day. Re nery
2 is newer and more modern. It costs $25,000 per day to operate, and it can produce 300 barrels of high-grade
oil, 400 barrels of medium-grade oil, and 500 barrels of low-grade oil each day. The company has orders totaling
25,000 barrels of high-grade oil, 27,000 barrels of medium-grade oil, and 30,000 barrels of low-grade oil. How
many days should it run each re nery to minimize its costs and still re ne enough oil to meet its orders?

Click here to see answer by Theo(13342) About Me 

Question 1189030: Identify the elements inside the set being described:
1. Set A is the set containing months starting with letter C.
2. Set B is the set containing the numbers that can divide 100.

Click here to see answer by MathLover1(20849) About Me 

Question 1189129: Prove that n2^n for all n≥4
Click here to see answer by ikleyn(52781) About Me 

Question 1189132: Use proof by contradiction to prove/disprove that no integers x and y exist such that
12y + 4x = 1

Click here to see answer by ikleyn(52781) About Me 

Question 1189131: Use direct proof to prove that the sum of two odd integers say a and b is even. Note
that we have discussed an odd number to be represented by 2n+1 and even as 2n.

Click here to see answer by ikleyn(52781) About Me 

Question 1189130: Prove using mathematical induction that for all n ≥ 1,
1 + 4 + 7 + · · · + (3n − 2) = n(3n − 1)
/2

Click here to see answer by greenestamps(13200) About Me 

Question 1189145: Show that the triangle formed is a right triangle (Hint: Apply Pythagorean theorem)
1. A(1,3), B(10,5), C(2,1)
2. A(0,1), B(1, 1/2), C(2, 5/2)

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

Question 1189163: a party of trekkers left a staging huat at an elevation of 465 feet. and arrived at their destination at an elevation of 2347 feet/ ACcording to the map the camps were 3000 feet part. What was average slope between the two camps? The answer was 0.81 but i don't understand how.
Click here to see answer by Alan3354(69443) About Me 
Question 1189163: a party of trekkers left a staging huat at an elevation of 465 feet. and arrived at their destination at an elevation of 2347 feet/ ACcording to the map the camps were 3000 feet part. What was average slope between the two camps? The answer was 0.81 but i don't understand how.
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 1189310: The original expression is 4x + y = 16
the x = -1
so the first step is to plug in the -1 which would be 4 * -1 + y = 16
Now my question is, how do you solve for y?

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

Question 1189298: . In testing an experimental diet for hens, it was determined that the average live
weight w (in grams) of a hen was statistically a linear function of the number of days d after
the diet began, where 0 ≤ d ≤ 50. Suppose the average weight of a hen beginning the diet
was 40 grams and 25 days later it was 675 grams.
(a) Determine w as a linear function of d. Clearly illustrate your steps. (20 marks)
(b) Sketch the graph of this linear function by hand. Clearly indicate the points you
used to locate this line, as well as the y-intercept of the line. (30 marks)
(c) Find the average weight of a hen when d=10. (10 marks)

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

Question 1189468: A ladder 10 feet long leans against a vertical wall, touching it 8 feet above the ground. What
is the slope of the ladder? Can a person 6-feet tall pass under the ladder 1 feet away from
the wall? Can the same person pass under the ladder 2 feet away from the wall? Use the
concept of slopes for your solution.

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

Question 1189512: the altitude, A, of an airplane follows a linear model given by A=mt+b where t is the time after takeoff. The plan is 1200ft off the ground at 5 seconds and 3400ft off the ground at 60 seconds. How high is the ground above sea level? What is the rate of increase in altitude over the period of 0 < t < 60
Click here to see answer by Alan3354(69443) About Me 

Question 1189505: Find the equation of the bisector of the acute angles and also the equation of the bisector of
the obtuse angles formed by the lines
7x − 24y = 8
and
3x + 4y = 12.

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

Question 1189526: How many different counting numbers will each leave a remainder of 5 when divided into 47?

Click here to see answer by Boreal(15235) About Me 
Question 1189526: How many different counting numbers will each leave a remainder of 5 when divided into 47?

Click here to see answer by greenestamps(13200) About Me 

Question 1189551: 3x +2y =6
2x -2y =-1
Graph method

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

Question 1189572: The perimeter of a rectangle is 68cm. The perimeter of the triangle is 60cm. Find the length of the hypotenuse of the triangle.
Click here to see answer by ikleyn(52781) About Me 
Question 1189572: The perimeter of a rectangle is 68cm. The perimeter of the triangle is 60cm. Find the length of the hypotenuse of the triangle.
Click here to see answer by Alan3354(69443) About Me 

Question 1189504: The vertices of a triangle are at A(-3, -2), B(2, 1) and C(6, 5). Find the length of the altitude
from the vertex C and the length of side AB. Then compute for the area of the triangle.

Click here to see answer by MathLover1(20849) 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