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

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Question 124408: Solve each of the following systems by graphing.

6.
4x + 3y = 12
x + y = 2

Click here to see answer by jim_thompson5910(35256)

Question 124409: Solve each of the following systems by addition. If a unique solution does not exist, state whether the system is inconsistent or dependent.
7.
-3x + y = 8
3x � 2y = -10

Click here to see answer by jim_thompson5910(35256)

Question 124410: Solve each of the following systems by substitution.
8.
3x � y = -15
x = y -7

Click here to see answer by jim_thompson5910(35256)

Question 124411: Solve each of the following systems of linear inequalities graphically.
9.
x � 2y ≥ -2
x + 2y ≤ 6
x ≥ 0
y ≥ 0

Click here to see answer by jim_thompson5910(35256)

Question 124412: Solve each of the following systems of linear inequalities graphically.

10.
2x + y ≤ 8
x + y ≥ 3
x ≥ 0
y ≥ 0

Click here to see answer by jim_thompson5910(35256)

Question 124396: Suppose that the monthly cost of a long-distance phone plan (in dollars) is a linear function of the total calling time (in minutes). When graphed, the fuction gives a line with a slope of 0.12. The monthly cost of 30 minutes of calls is $12.63. What is the monthly cost for 21 minutes of calls?
Click here to see answer by josmiceli(19441)

Question 124094: The length of a rectangular garden is 7 ft. more than twice its width. If the perimeter of the garden is 56 ft., find the width of the rectangle.
Click here to see answer by iluvbuilding429(41)

Question 124501: Hey! :D
ive been doing work on areas between curves and axis's
but ive stumbled across an area i find difficult! :D
i understand how to use integration to find the distance under a curve and the x-axis, but the question i have got to, it just isn't working, ive used subtraction but my answers keep logically becoming wrong, and actually becoming wrong. i cant find the correct way :( could any one point me in the correct direction? :D
the quetion is, find these shaded areas using A = (integration sign)) y dx and a method of substituion,
for 10b for example, the curve is, y= root x
it gives a point on the y - axis, (0,4) and this goes across to to meet the curve, and that is the shaded area,
how would i go about finding this out? i filled integration in for 4 and 0, but it isnt workiong :( thanks
Click here to see answer by stanbon(75887)

Question 124546: Write the equation of a line parallel to -2x + 5y = 6 and having a y-intercept of -3.
Click here to see answer by iluvbuilding429(41)

Question 124559: Hello,
Please help solve
2x-5y=-3
y=-4x+1
Thank you

Click here to see answer by jim_thompson5910(35256)

Question 124560: Hello,
Please help! Solve by graphing:
y= -3x+3
y= 2(x-2)-3
Thank you
Click here to see answer by jim_thompson5910(35256)

Question 124556: List the symmetries of the given function, if there are any. Otherwise, state "No symmetry".
f(x) = -4x^2 + 2
Click here to see answer by checkley71(8403)

Question 124601: please answer this equation.th lenth of a rectangle is 7cm more than the width.the perimeter is 98cm.find the rectangles dimesions.solve by graphing
Click here to see answer by checkley71(8403)

Question 124606: graph the line with slope 3/4 passing through the point (-2,2)
Click here to see answer by checkley71(8403)

Question 124646: Solve. Be sure to show the equations used for the solution.
Jill has $3.50 in nickels and dimes. If she has 50 coins, how many of each type of coin does she have?
Let x = nickels
Let y = dimes

Show your solution below:

How many nickels?
How many dimes?

Click here to see answer by stanbon(75887)

Question 124645: Solve the system by addition. If a unique solution does not exist, state whether the system is inconsistent or dependent.
x+5y=10
-2x-10y= -20
Show your solution below:
What is the solution for this system?
What type of system is this?

Click here to see answer by gems(12)

Question 124653: a roof rises 9.75 feet over a horizontal distance of 17.24ft. What is the slope of the roof to the nearest hundredth?
Click here to see answer by stanbon(75887)

Question 124640: I have to graph inequalities in two variables, and pick a point in each half plane. After, I have to test the points to see if they are true or false. Will someone help me graph them?
y<-1/2x-3
2x-3y<6
Click here to see answer by stanbon(75887)

Question 124689: A runner is halfway(13 miles) thru the marathon and sees that he has been running for about 100 minutes. he realizes that in order to match his personal best he will have to run faster. his personal best time for 26 miles is 191 minutes.
Q: what are the 2 variable quantities? let the time in minutes be the dependent variable and let the distance in miles be the independent variable.
Q: identify the 2 points given in the problem statement.
Click here to see answer by stanbon(75887)

Question 124692: The sum of two numbers is 29. Their difference is 7. What are the two numbers
Click here to see answer by gems(12)

Question 124692: The sum of two numbers is 29. Their difference is 7. What are the two numbers
Click here to see answer by jim_thompson5910(35256)

Question 124700: Solve the system by substitution.
2x � 4y = 18
y = �x � 12

Click here to see answer by jim_thompson5910(35256)

Question 124690: A runner is halfway(13 miles) thru the marathon and sees that he has been running for about 100 minutes. he realizes that in order to match his personal best he will have to run faster. his personal best time for 26 miles is 191 minutes.
Q: what is the runner's rate (slope) during the second half of the race in minutes per mile?
Click here to see answer by ankor@dixie-net.com(22740)

Question 124709: graph the line with slope 4 passing through the point (4,2)
Click here to see answer by jim_thompson5910(35256)

Question 124710: graph the inequality
-x-y<8
Click here to see answer by jim_thompson5910(35256)

Question 124711: graph the inequality
2x+y<-9
Click here to see answer by jim_thompson5910(35256)

Question 124698: Solve the system by graphing.
x � 2y = 8
x + y = �1

Click here to see answer by jim_thompson5910(35256)

Question 124717: Solve the system by substitution.
2x � 4y = 18
y = �x � 12

Click here to see answer by jim_thompson5910(35256)

Question 124718: Solve the system by graphing.
x � 2y = 8
x + y = �1
REALLY NEED HELP GRAPHING!
Click here to see answer by jim_thompson5910(35256)

Question 124718: Solve the system by graphing.
x � 2y = 8
x + y = �1
REALLY NEED HELP GRAPHING!
Click here to see answer by checkley71(8403)

Question 124719: Graph the inequality.

Click here to see answer by jim_thompson5910(35256)

Question 124720: Graph f(x) = 3x + 2.
THIS IS REALLY GIVING ME PROBLEMS TRYING TO GRAPH THIS EQUASTION.
Click here to see answer by jim_thompson5910(35256)

Question 124691: Adult tickets for a play cost $10 and child tickets cost $4. If there were 30 people at a performance and the theater collected $234 from ticket sales, how many adults and how many children attended the play?
Click here to see answer by checkley71(8403)

Question 124722: graph the line with the slope -4 ppassing through the point (2,-1)
Click here to see answer by jim_thompson5910(35256)

Question 124723: graph the inequality
4x+5y<16
Click here to see answer by jim_thompson5910(35256)

Question 124724: graph the inequality
3x-4y>-32
Click here to see answer by jim_thompson5910(35256)

Question 124725: graph the line with the slope 2/3 passing through the point (-2,1)
Click here to see answer by jim_thompson5910(35256)

Question 124727: Please help solve:
-2x+3y=-2
y=3x-3
Click here to see answer by jim_thompson5910(35256)

Question 124642: Solve the system by addition. If solution does not exist, state whether the system is inconsistent or dependent.
2x+3y=1
5x+3y=16
Show your solution below:

The solution for this system is =>

Click here to see answer by iluvbuilding429(41)

Question 124641: Find the values for m and b in the following system so that the solution to the system is (-3,4)
5x + 7y = b
mx + y = 22

thank you!!!!
Click here to see answer by iluvbuilding429(41)

Question 124714: Solve the system by addition. If a unique solution does not exist, state whether the system is inconsistent or dependent.
10x=2Y=7, Y=-5X+3
Show your solution below:

What is the solution for this system?
What type of system is this?

Click here to see answer by MathLover1(20849)

Question 124771: How to graph
y=3/5x
Click here to see answer by solver91311(24713)

Question 124772: How to graph
5x+2y=-10
Click here to see answer by iluvbuilding429(41)

Question 124835: Please help me solve this equation:
Find the y-intercept and x-intercept for the equation
4x+6y=96
Type an ordered pair
Click here to see answer by iluvbuilding429(41)

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, 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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