Questions on Algebra: Graphs, graphing equations and inequalities answered by real tutors!

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Question 117700: can you please solve and graph the solution set of the following inequalities
3x > 2x-4 underline under the >

Click here to see answer by jim_thompson5910(28504) About Me 

Question 117773: Solve the following system of linear inequalities by graphing.
3x + 4y <= 12
x + 3y <= 6
x >= 0
y >= 0
Thank you.

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Question 117660:
Technology. Driving down a mountain, Tom finds that he has descended 1800 ft
in elevation by the time he is 3.25 mi horizontally away from the top of the
mountain. Find the slope of his descent to the nearest hundredth.

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Question 117770: A home-based company produces both hand-knitted scarves and sweaters. The scarves take 2 hours of labor to produce, and the sweaters take 14 hours. The labor available is limited to 40 hours per week, and the total production capacity is 5 items per week. Write a system of inequalities representing this situation, where x is the number of scarves and y is the number of sweaters. Then graph the system of inequalities.
I do not understand this at all. Please help me with writing the system of inequalities number one and then if you could explain how to graph the system.
Thank you.

Click here to see answer by jim_thompson5910(28504) About Me 

Question 117859: A long distance phone call costs $0.70 for the first minute and $0.39 for each additional minute or portion thereof. Write an inequality representing the number of minutes a person could talk without exceeding $4. Do not solve the inequality.
Click here to see answer by stanbon(57250) About Me 

Question 117861: 1. solve and graph the solution set on a number line
x+10>4
2. write the inequality in words. x<5

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Question 117914: FIND THE LENGTH OF EACH SIDE OF A RECTANGLE SO THAT IT HAS THE GIVEN PERIMETER.
2X-5 TOP
X SIDE

P=50 IN.


2x-5 = length
x = width
Perimeter = 2L + 2W
50 in = 2L + 2W
Plug in the algebraic expressions in terms of x for L & W:
50 = 2(2x-5) + 2(x)
50 = 4x -10 + 2x
Combine like terms
50 = 6x -10
Add 10 to both sides of the equation:
50+10 = 6x -10 + 10
60 = 6x
Divide both sides by 6 to get the value fo x.
60/6 = 6x/6
10 in = x (width)or (SIDE)

Plug this value into the equation for the top.
2(10) -5
20-5 =15 in (TOP)

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Question 117949: i need help now
Click here to see answer by stanbon(57250) About Me 

Question 117965: Graph the equation below using the indicated method.
y= -2/3x +4 by graphing 3 points.

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Question 117966: Graph the equation below using the indicated method.

y= x - 3 by graphing 3 points

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Question 117665:
27. Geometry. Floor plans for a building have the four corners of a room located at the points (2, 3), (11, 6), (-3, 18), and (8, 21). Determine whether the side through the points (2, 3) and (11, 6) is parallel to the side through the points (-3, 18) and (8, 21).
28. Geometry. For the floor plans given in exercise 27, determine whether the side through the points (2, 3) and (11, 6) is perpendicular to the side through the points (2, 3) and (-3, 18).
Can you help me solve for #28 please

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Question 118010: Help: A roof rises 9.75ft over ahorizontal distance of 17.24ft. What is the slope of the roof to the neares hundredth?
Click here to see answer by stanbon(57250) About Me 

Question 118017: Write the equation of the line that passes through point (-2,3) with a slope of -4
Please help

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Question 118016: Write the equation of the line passing through (3,-7) and (-6,-7)
Please help

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Question 118015: Find the slope of any line parallel to the line through points (15,1) and (4,2)
Please help, thank you
Happy Holidays

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Question 117596: quadrilateral pqrs has verticals p(1,6),q(5,2),r(3,-2), and s(-2,4).If the quadrilateral is translated 2 units right and 4 units down, what are the coordinates of R?
Click here to see answer by ilana(307) About Me 

Question 118048: FIND THE CONSTANT OF VARIATION K.
m varies directly with n: m = 144 when n = 8.

Click here to see answer by bucky(2189) About Me 

Question 118047: FIND THE SLOPE OF THE LINE THROUGH THE FOLLOWING PAIRS OF POINTS
(-5,-3) AND (-5,2)

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Question 118043: graph the following equation
y=3/4x+2

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Question 118045: GRAPH THE FOLLOWING EQUATION BY FIRST SOLVING FOR Y.
2X-3Y=12

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Question 118044: GRAPH THE FOLLOWING EQUATION, USING THE INTERCEPT METHOD.
2X+3Y=6

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Question 118049: The revenue for a sandwich shop is directly proportional to its advertising budget. Whe the owner spent $2000 a month on advertising, the revenue was $120,000. If the revenue is now $180,000, how much is the owner spending on advertising?
Click here to see answer by psbhowmick(529) About Me 

Question 118050: The following pie chart represents the way a new company ships its goods. Use the information presented to complete the question.
pie chart second day air freight 40%, next day air freight 15%, truck 45%
If the company shipped a total of 550 items last month, how many were shipped using second-day air freight?

Click here to see answer by bucky(2189) About Me 

Question 117470: A landscape designer has to design a retangular pad of concrete at the centre of a rock garden. The length must be less than or equal to twice the width; the perimeter must be less than or equal to 40m; and the area must be greater than or equal to 60m^2
Click here to see answer by Edwin McCravy(8882) About Me 

Question 118046: THE COST OF PRODUCING A NUMBER OF ITEMS X IS GIVEN BY C = MX + B, IN WHICH B IS THE FIXED COST AND M IS THE VARIABLE COST (THE COST OF PRODUCING ONE MORE ITEM).
A) IF THE FIXED COST IS $40 AND THE VARIABLE COST IS $10, WRITE THE COST EQUATION.
B) GRAPH THE COST EQUATION.

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Question 118042: When x number of units are sold, the price of each unit (in dollars)) is given by p= -x/2+75. Find the unit price when the following quantities are sold: 2,7,9,11.
Click here to see answer by josmiceli(9661) About Me 

Question 118040: complete the ordered pairs so that each is a solution for the given equation.
3x+4y=12 (0, ),( ,3/4),( ,0),(8/3, )

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Question 118041: Celsius temperature readings can be converted to fahrenheit readings using the formula F = 9/5C+32. What is the fahrenheit temperature that corresponds to each of the following celsius temperatures: -10,0,15,100?
Click here to see answer by Edwin McCravy(8882) About Me 
Question 118041: Celsius temperature readings can be converted to fahrenheit readings using the formula F = 9/5C+32. What is the fahrenheit temperature that corresponds to each of the following celsius temperatures: -10,0,15,100?
Click here to see answer by kamallohia(18) About Me 

Question 118068: I need to know how to find the vertex and intercepts for a parabola and sketch it. The equation is g(x)=x2+x-6
Click here to see answer by jim_thompson5910(28504) About Me 
Question 118068: I need to know how to find the vertex and intercepts for a parabola and sketch it. The equation is g(x)=x2+x-6
Click here to see answer by josmiceli(9661) About Me 

Question 117371: Write an equation for each relation in function notation.(-2,0)
(1,3)
(2,4)

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Question 118102: Solve the inequality. Then graph the solution.
5x-4<6x+2

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Question 118114: Find three consecutive integers such that the sum of the first two decreased by the third equals 68.
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Question 118117: Three times the second of the consecutive even integers is 14 more than the sum of the first and the third. Find the middle integer.
Click here to see answer by checkley71(8403) About Me 
Question 118117: Three times the second of the consecutive even integers is 14 more than the sum of the first and the third. Find the middle integer.
Click here to see answer by stanbon(57250) About Me 

Question 118126: find the constant of variation k
m varies directly with n; m=144 when n = 8
Thanks

Click here to see answer by MathLover1(6623) About Me 

Question 118129: A pie chart represents the way a new company ships its goods. Use the information persented to complete the problem.
second day air freight 40%, next day air freight 15%, truck 45%
If the company shipped a total of 550 items last month, how many were shipped using second-day air freight?

Click here to see answer by stanbon(57250) About Me 

Question 118128: The revenue for a sandwich shop is directly proportional to its advertising budget. When the owner spent $2000 a month on advertising, the revenue was $120,000. If the revenue is now $180,000, how much is the owner spending on advertising?
Click here to see answer by stanbon(57250) About Me 

Question 118141: Can you please help me find the correct answer to this questions?
Graph and find the domain and range:

y - (x2 + x - 6)/(x2 - 9)
Thank you!

Click here to see answer by checkley71(8403) About Me 

Question 118125: solve the inequality. then graph the solution.
3x+3 < x+5

Click here to see answer by jim_thompson5910(28504) About Me 

Question 118170: when solving inequalities, how do you know whether to subtract or to add on

both sides? for example, 5x-4<6x+2.

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Question 118192: when solving inequalities, how do you know whether to add or to subtract on both sides? Can you explain with an example?
Click here to see answer by bucky(2189) About Me 

Question 118235: 2/5a - 4 < 2
Click here to see answer by jim_thompson5910(28504) About Me 

Question 118247: I need to create a linear equation or inequality that could be used for analysis, prediction, or decision making. Then, I need to draw a graph to depict the variables. Here is the catch. Last week I had to come up with a real-life situation that follows a linear equation, with the independent variable being years. My topic was grocery prices and how they continually rise. I have to use grocery prices in my linear equation or inequality. I am so confused. Can you help me?
Click here to see answer by tutorcecilia(2152) 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