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

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Question 1018939: 2. Solve the following systems of equations by elimination. Verify the solutions.
a. r + 2s + 1 = 0
r + 5s + 28 = 0

b. 4m - 3n = 27
8m - 6n = 18



c. 0.6x = 1.2 + 0.3y
2.2x - 1.8y - 1.6 = 0

3. Frank has $8 000 that he plans to split into two investments. He wrote the following two equations to represent the interest he will earn from each of the two investment options.
• 2000A + 6000B = 520
• 4000A + 4000B = 480
Determine the interest rates, A and B, as percentages.

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Question 1018905: What is 16x+9y=40 if you have to change it from standard form to slope intercept form
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Question 1018917: 4(2n+4=6(8n+1)+9
8n+16=6(8n+1)+9
8n+16=48n+6+9
8n+16=48n+15
8n16-48n=48n+15+48
8n+16=15
8n+16-16=15-8
8n=7 or 7/8

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

Question 1018972: I am investigating a pattern, our topic is linear patterns. The pattern is a square like shape. But there are always 6 new blocks added to the top of the shape. My class is doing the ten step method.
Ten steps:
1. Introduction
2. Describe in words
3. Define in terms. Example: T= total number of blocks
4. Make a table
5. Find the general rule (nth term)
6. Check validity and make a prediction
7. Make a graph
8. Justify and prove the formula works
9. Make a conclusion
I am sorry there are only 9 steps because my class is doing this assignment virtually.
My question,
My question is from question 5, (find the general rule, nth term.)
If in the pattern you increase by 6, then what is the zero term?
Thank you, I know this is a lot, but please help me, if you don't understand, contact me.

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

Question 1018941: PLEASE I NEED ANSWERS
1. Solve the following system. Verify the solution.
y = 4x – 11
x = 2y – 13
2.
4. State a favourite strategy for solving a linear system of equations. Provide step-by-step instructions for the chosen strategy such that another Math 10C student could easily follow.
Answer:
5. Describe the advantages of verifying solutions to systems of equations graphically and
algebraically.


6. A system of linear equations can have zero, one, or an infinite number of solutions.
a. Describe a rule that can be used to determine the number of solutions a system of linear
equations will have.


b. Use the base example of two people walking to describe a system of two linear equations that has

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

Question 1018942: Ari has been paying attention to the number of calories she burns while exercising. One day she spent three hours hiking and four hours canoeing, and she calculated that she burned 2 338 calories. The next day, she hiked for seven hours and canoed for one hour, and she calculated that she burned 3 322 calories. How many calories per hour does Ari burn doing each exercise?
Click here to see answer by Cromlix(4381) About Me 

Question 1018963: Please help mi 2 solve dis 2x-5y=0-2
Click here to see answer by Alan3354(69443) About Me 

Question 1018933: PLEASE NEED ANSWERS: and show work
1. 4. Use technology to determine an approximate solution to the system y =- 0.44x + 12.6 and y =- 7.21x – 55.6. Explain the procedure. PLEASE PROVIDE GRAPH
2. 1. Solve and verify each of the following systems of linear equations.
a. 5x – 2y =- 6 and 2x – y = 1
Answer:
b. 2x + 3y = 432 and 5x – 2y = 16
Answer:
3. The numbers x and y have a sum of 1 and a difference of 11.
a. Write a system of equations to represent this information.
Answer:
b. Solve the system of equations to determine the numbers.
Answer:

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Question 1019076: Determine whether the system of linear equations has one and only one solution, infinitely many solutions, or no solution.
x − 3y = −11
4x + 3y = 16
Find the solution, if one exists. (If there are infinitely many solutions, express x and y in terms of the parameter t. If there is
no solution, enter NO SOLUTION.)
(x, y)=

Click here to see answer by Fombitz(32388) About Me 

Question 1019079: is (5,12)a solution to the equation: y = − 4x + 3. Prove your answer!
Click here to see answer by fractalier(6550) About Me 
Question 1019079: is (5,12)a solution to the equation: y = − 4x + 3. Prove your answer!
Click here to see answer by Theo(13342) About Me 

Question 1019137: write an equation in point-slope form for the line through the given point with the given slope.
(-10,-1); m=-1

Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 1019187: Points A (5,2)and B(-3,y) lie on a line with slope 3/2. What is the y-coordinate of B? Explain how you found your answer.
Click here to see answer by Boreal(15235) About Me 

Question 1019183: Tell whether x and y show direct variation. Explain the reasoning. If so, find k.
x 1 2 3 4
-------------
y 2 4 6 8

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Question 1019205: using the FORMAL definition of a derivative, find the derivative of 3x^3
Click here to see answer by addingup(3677) About Me 

Question 1019136: are the graphs of the lines in the pair parallel?explain.
y=3/7x+11
-3x+7y+13

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

Question 1019269: graph the linear equation. 3=2x-y
Click here to see answer by josmiceli(19441) About Me 

Question 1019265: I have a slope of 15 over 8 and a slope of 3 over 8. Can someone please help me figure out what the graph should look like and how to graph it? Thank you.
Click here to see answer by josmiceli(19441) About Me 

Question 1019306: how do i graph y=1/3x+6
Click here to see answer by Fombitz(32388) About Me 

Question 1019303: how to put y=1/3x+6 in a graph

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Question 1019304: graph the equation and identify the y intercept y=1/3x+6

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Question 1019293: how to create a table for the function y=3x-7




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Question 1019381: Write an equation of the line that passes through points 1,5 and 2,3
My work:
M=-2 (was hard to show how I got the answer so I'm just gonna put what I got)
Y=MX+b
5=-2+b
5-2=b
3=b
M=-2
B=3
Y=-2x+3
The teacher told me that the correct answer was y=-2x+7
How did she get that?

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

Question 1019379: M=3
Passes through (1,4)
My work:
Y=MX+b
4=3(1)+b
4=3+b
4-3=b
1=b
My answer: y=-3x+b
I realized what I did wrong but I just want to know what the correct answer is.?

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

Question 1019382: Hannah and Jacob decided to invest the same amount of money in a different savings account. Hannahs saving account grows at $10 per week and Jacobs grows half as fast.
X= # of weeks
Y= total money in savings account
Hannah: m= 1 b= 10 equation: y=1x+10
Jacob: m= 1 b=20 equation: y=1x+20x
What did I do wrong?

Click here to see answer by Screamgirl(4) About Me 

Question 1019301: In a quadratic variation graph what does it look like when y equals 18 when x equals 6 what does the rest of the graph look like.
Click here to see answer by Theo(13342) About Me 

Question 1019398: Through (-3,11) m=-2

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

Question 1019266: Find an equation for the line parallel to 4y+12x=12 and goes through the point (9,-10). Write your answer in the form y=mx+b
Click here to see answer by Cromlix(4381) About Me 

Question 1019264: Write an equation for a line perpendicular to-4x=-2 2y and passing through the point (-4,-3)
Click here to see answer by Cromlix(4381) About Me 

Question 1019426: what is the x-intercept for 2y-6=(3/2)x

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Question 1019417: Write the following equations in the form y = mx + b and determine the number of solutions for each given system of equations.
(1) 3x + 9y = 36. (2) 2/3 + 2y = 8.
Number of solutions.
Convert each of the following equations to the form y = mx + b and verify whether the ordered pair (3, -2) is a solution - pair of the given system.
(1) 2x - 7y = 20. (2) x/4 + y/3 -2 = 0.
Is the ordered pair (3, -2) a solution - pair of this system?

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

Question 1019463: What is the range of the function y=x^2+3
Click here to see answer by FrankM(1040) About Me 
Question 1019463: What is the range of the function y=x^2+3
Click here to see answer by fractalier(6550) About Me 

Question 1019634: Use the comparison method to solve the following system of equations:
(1) 2x - 3y = 5. (2) 2x + 5y = -3

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

Question 1019673: Consider the 2 ordered pairs (3,4) and (6,8).
(a) Find the slope of the line passing through these two points? I believe this is m=4/3
(b) Find the equation of the line passing through these two points. I believe this is y=4x/3
(c) Find the x and y intercepts of the line passing through these two points.
This is what I am stuck on. I can only find how to solve for the slope and y intercept and am getting confused.
Thank you.

Click here to see answer by Cromlix(4381) About Me 

Question 1019748: Draw the graph of y=3xsquare _5x_7
Click here to see answer by Alan3354(69443) About Me 

Question 1019705: How do you find an equation for a regression line using this information?

YEAR AMOUNT SOLD
2004 3332579
2005 3343131
2006 3377174
2007 3389269
2008 3290057
2009 3283730
2010 3282319
2011 3194754
2012 3177687
2013 3227689

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

Question 1019900:
Click here to see answer by FrankM(1040) About Me 

Question 1019980: show the equation the land elevations in Nevada fall from the 13,143 feet height of Boundary Peak to the Colorado River at 470 feet. To the nearest tenth, what is the range of these elevations in miles? (Hint:1 mile is 5,280 feet)
Click here to see answer by solver91311(24713) About Me 

Question 1019993: To hold the temperature of a room between 23 degree and 26 degree Celsius, what Fahrenheit temperature must be maintained?
Hint Farenheit temperature and Celsius temperature are related by the formula

can you please show me step by step to solve this problem.

Click here to see answer by solver91311(24713) About Me 

Question 1020026: If f(x) = 3x+2, find f(5) and give the ordered pair
Click here to see answer by Cromlix(4381) About Me 

Question 1020041: a line contains the points (4,2) and 0,1). what is the equation of the line?



Click here to see answer by Cromlix(4381) About Me 

Question 1020052: Is y=x+11 parallel, perpendicular or neither?
Click here to see answer by richard1234(7193) About Me 

Question 1020087: If y-18=14,what is the value of 3 (y+5)
Click here to see answer by ewatrrr(24785) About Me 

Question 1020033: 2x-5y=32
2x+3y=0
solve the simultaneous equation graphically

Click here to see answer by Fombitz(32388) 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