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

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Question 1201725: please help me graph this
y=-6x+5400
y=-3x+2250
with all the points etc
Click here to see answer by Alan3354(69443)

Question 1201824: Each year, a baseball team sells boxes of chocolates as a fundraiser to lower the cost of team fees. The price of the chocolates and the number of boxes sold varies each year. The Information from five years of sales is given in the table below:
Price per box (S)
3.00
4.00
5.50
6.50
8.00
Boxes Sold
5303
3360
1777
1316
1019
a. Determine the cubic regression equation that best approximates the data. Provide a sketch of the graph.
Click here to see answer by ikleyn(52781)

Question 1201720: Shade the region defined by this inequality :4y+3x>12

4y+3x>12
y+3x>12/4
y<3-3x

So , I draw y=3-3x and shade the region below the line . The answer on my book is drawn with the area shaded in the upper region .
I chose a point : (0,4) and did substitution : y<3-3x
4<3 ---which is an incorrect statement
Since this point is present in the upper region I shaded the opposite region (below the line ) since the statement is wrong .
So , why is the region shaded in the upper part ? please .
Click here to see answer by MathTherapy(10552)

Question 1202250: There are several elevators in the Sandy Beach Hotel. Each elevator can hold at most 12 people. Additionally, each elevator can only carry 1600 pounds of people and baggage for safety reasons. Assume on average an adult weighs 175 pounds and a child weighs 70 pounds. Also assume each group will have 150 pounds of baggage plus 10 additional pounds of personal items per person.
Part A. Write a system of linear equations or inequalities that describes the weight limit for one group of adults and children on a Sandy Beach Hotel elevator and that represents the total number of passengers in a Sandy Beach Hotel elevator.
Part B. Several groups of people want to share the same elevator. Group 1 has 4 adults and 3 children. Group 2 has 1 adult and 11 children. Group 3 has 9 adults. Which of the groups, if any, can safely travel in a Sandy Beach elevator?
Click here to see answer by math_tutor2020(3817)

Question 1202259: Plot the line x intercept- 10 and the the y intercept-10
Click here to see answer by ikleyn(52781)

Question 1202264: A survey was taken of 49 people to see if they watch basketball and/or soccer games on television. The results are shown in the Venn diagram.

Enter your answers in the boxes to complete the two-way table based on the given data.
Click here to see answer by math_tutor2020(3817)

Question 1202267: Graph the function by starting with the graph of the basic function and then using the techniques of shifting compressing , stretching , and or reflecting . f(x) = sqrt(x - 1)
Click here to see answer by ikleyn(52781)

Question 1202410: A new media platform, JP Productions, uses a model to discover the maximum profit
it can make with advertising. The company makes a $6,000 profit when the
platform uses 100 or 200 minutes a day on advertisement. The maximum profit
of $10,000, can occur when 150 minutes of a day’s platform is used on
advertisements. Which of the following functions represents profit, PP(mm), where mm
is the number of minutes the platform uses on advertisement?
A P(m) = −0.064(x + 150^2 − 10000
B P(m) = −1.6(x − 150)^2 + 10000
C P(m) = −(x − 1000)(x − 6000)
D P(m) = −(x − 100)(x − 200)
Click here to see answer by ikleyn(52781)

Question 1202465: y=-8/7x-1
Click here to see answer by ikleyn(52781)

Question 1202465: y=-8/7x-1
Click here to see answer by Alan3354(69443)

Question 1202521: The top two dolls that a toy manufacturer makes are called Baby Wiggles and Sleepy Baby.To makes a case of Baby Wiggles takes 5 units of raw material and 1 unit of time to assemble.To make a case pf Sleepy Baby takes 3 units of raw material and 2 units of time to assemble.On a given day the manufacturer has at most 150 units of raw material and 44 units of time.If the manufacturer makes a profit of RM120 on each case of Baby Wiggles and RM100 on each case of Sleepy Baby,how many cases of each type of doll should the manufacturer make in order to maximize profit?
Click here to see answer by Theo(13342)

Question 1202520: Maximize z=4x+5y
subject to
x+y\le 4
x-y\ge -2
x\le 3
x\ge 0
y\ge 0
Click here to see answer by math_tutor2020(3817)

Question 1202520: Maximize z=4x+5y
subject to
x+y\le 4
x-y\ge -2
x\le 3
x\ge 0
y\ge 0
Click here to see answer by Edwin McCravy(20055)

Question 1202519: Maximize:z=40x+12y
Subject to:
6x-2y\le 9
3x+y\le 9
x\ge 0
y\ge 0
Click here to see answer by Theo(13342)

Question 1202533: graph the inequality: 4x+2y\le 8
Click here to see answer by Alan3354(69443)

Question 1202533: graph the inequality: 4x+2y\le 8
Click here to see answer by math_tutor2020(3817)

Question 1202692: which describes the graph g(x)=-3x+5
Click here to see answer by Theo(13342)

Question 1202694: 4(2y - 5) ≤ 5y - 2 and 9y - 1 > -1
Please add complete solution, thank you.
Click here to see answer by josgarithmetic(39617)

Question 1202694: 4(2y - 5) ≤ 5y - 2 and 9y - 1 > -1
Please add complete solution, thank you.
Click here to see answer by math_tutor2020(3817)

Question 1202717: table of values for the equation -3y + 6x = -6
Click here to see answer by Alan3354(69443)

Question 1202717: table of values for the equation -3y + 6x = -6
Click here to see answer by josgarithmetic(39617)

Question 1202717: table of values for the equation -3y + 6x = -6
Click here to see answer by math_tutor2020(3817)

Question 1202854: -6x+3y=-9
Click here to see answer by josgarithmetic(39617)

Question 1202853: -6x+3y=-9
Click here to see answer by josgarithmetic(39617)

Question 1202853: -6x+3y=-9
Click here to see answer by Edwin McCravy(20055)

Question 1202853: -6x+3y=-9
Click here to see answer by math_tutor2020(3817)

Question 1203062: Consider the function g(x) = -2(2) ^ ½(x+2) + 3.
What is the base (parent) function?
Write the mapping rule that transforms the base function to g(x)
Complete a table of values for 5 points on your base function and
transformed function
Click here to see answer by Edwin McCravy(20055)

Question 1203199: y=-1/4x-6
Click here to see answer by Theo(13342)

Question 1203199: y=-1/4x-6
Click here to see answer by ikleyn(52781)

Question 1203199: y=-1/4x-6
Click here to see answer by greenestamps(13200)

Question 1203199: y=-1/4x-6
Click here to see answer by josgarithmetic(39617)

Question 1203270: Graph the line -2x+y=4
Click here to see answer by ikleyn(52781)

Question 1203270: Graph the line -2x+y=4
Click here to see answer by josgarithmetic(39617)

Question 1203270: Graph the line -2x+y=4
Click here to see answer by math_tutor2020(3817)

Question 1203348: Are (2,350) and (5,200) and (6,150) collinear?
Click here to see answer by josgarithmetic(39617)

Question 1203348: Are (2,350) and (5,200) and (6,150) collinear?
Click here to see answer by math_tutor2020(3817)

Question 1203348: Are (2,350) and (5,200) and (6,150) collinear?
Click here to see answer by greenestamps(13200)

Question 1203365: Which of the following graphs shows a parabola with a vertex of (-4,4) and solutions of (-6,0) and (-2,0)?

Click here to see answer by josgarithmetic(39617)

Question 1203365: Which of the following graphs shows a parabola with a vertex of (-4,4) and solutions of (-6,0) and (-2,0)?

Click here to see answer by MathTherapy(10552)

Question 1203383: The 4 by 5 grid shown in Fig. 7-35 represents a networkof streets (4 blocks by 5 blocks) in a small subdivision.For
landscaping purposes, it is necessary to get water to each of the corners by laying down a system of pipesalong the
streets. The cost of laying down the pipes is$40,000 per mile, and each block of the grid is exactlyhalf a mile long. Find the
cost of the cheapest network ofpipes connecting all the corners of the subdivision. Explain your answer. (Hint: First
determine the number ofblocks in the MST.)
Click here to see answer by ikleyn(52781)

Question 1203399: The perimeter of a triangle is 46 cm. The triangle is isosceles now, but if its base were lengthened by 4 cm and each leg were shortened by 7 cm, it would be equilateral. Find the length of the base of the original triangle.
Click here to see answer by josgarithmetic(39617)

Question 1203405: Graph:
f(x) = [2x - 1 | x + 2 | (x - 3)^2
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