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

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Question 404188: find f (g(x)) and g (f(x)) and determine whether each pair of functions f and g are inverse of each other.
F(x)=-x and g(x)=-x

Click here to see answer by robertb(4012) About Me 

Question 404287: I have gone over this homework problem time and time again and cannot get the answer correct. Please show me how to do this correctly.
1. Find the intersecting point of the two straight lines: 2x-3y=5 and 3x+4y=1.
I converted the two equations to y=2/3x-5/3 and y=-3/4x+1/4 and found extremely large fractions for my answers. I finally came up with (1.3529,-0.7647)
2.The equation x=3 represents?
I said a verticle line because it cannot be a point on the x-axis. Is this correct?


Click here to see answer by Alan3354(30993) About Me 

Question 404292: Match the function rule with the graph of the function.
y = 2/5 · 5^x

Click here to see answer by stanbon(57424) About Me 

Question 404400: 5x<2x+3
Click here to see answer by jim_thompson5910(28598) About Me 

Question 404329: When graphing 2 equations the question is asked "Is there no solution, one solution, of infinitely many solutions." If the lines cross there is a solution. If the lines are parallel (same slope) there is no solution. How do you get an infinite number of solutions? Are the lines the same?
Click here to see answer by ankor@dixie-net.com(15667) About Me 

Question 404494: Solve the inequality. Express the solution using interval notation.
x4 - 32x2 - 144 > 0

Click here to see answer by lwsshak3(6527) About Me 

Question 404641: solve for y. -4x+2y=12 and then find the slope, x and y intercept then graph
Click here to see answer by rfer(12678) About Me 

Question 404663: determine weather the graphs of the pair of lines are parallel
x+8=y
y-x=-4

Click here to see answer by rfer(12678) About Me 

Question 404664: use the intercepts to graph the equation
5x-3y=15

Click here to see answer by rfer(12678) About Me 

Question 404668: find the slope and the y-intercept
3-1/4y=2x

Click here to see answer by rfer(12678) About Me 

Question 404667: graph the equation by plotting points
x=8

Click here to see answer by jim_thompson5910(28598) About Me 

Question 404755: Okay I am so not getting this!!! I need help with solving by the susstitution method 4m + n = 33
m - 6n = 27
Any help at all will be greatly appreciated, I have a few other questions also, but can send them seperately. Thank you in advance, Blaine

Click here to see answer by rfer(12678) About Me 

Question 404666: find an equation of the line containing the given pair of points eexpress your answer in the form x=a y=b or y=mx+b
(-9,-9) and (9,9)

Click here to see answer by Alan3354(30993) About Me 

Question 404788: I need to use the intercepts to graph the equation.
x+5y=10
Thank you

Click here to see answer by rfer(12678) About Me 

Question 404785: find the slope if it exists
5x-4y+16=0, m=???

Click here to see answer by rfer(12678) About Me 

Question 404783: find the slope if it exists
Y=-8x+9
m=??

Click here to see answer by rfer(12678) About Me 

Question 404787: x+y=19
x-y=-7 how do u do this by elimination

Click here to see answer by stanbon(57424) About Me 
Question 404787: x+y=19
x-y=-7 how do u do this by elimination

Click here to see answer by richard1234(5390) About Me 
Question 404787: x+y=19
x-y=-7 how do u do this by elimination

Click here to see answer by keksjr(7) About Me 

Question 404786: find the slope if it exists
y=-2.11, the slope is???

Click here to see answer by jim_thompson5910(28598) About Me 
Question 404786: find the slope if it exists
y=-2.11, the slope is???

Click here to see answer by richard1234(5390) About Me 
Question 404786: find the slope if it exists
y=-2.11, the slope is???

Click here to see answer by stanbon(57424) About Me 

Question 404782: Hi again...I have another one I am having trouble with!
Solve by the sub method: 7x - 3y = -39...6x + 46 = y I am having trouble with the y, I would appreciate some help! Thank you in advance, Blaine

Click here to see answer by stanbon(57424) About Me 

Question 404779: a roof rises 1.2 feet verticallly and 6.5 feet horizontally. What is the grade of the roof?
Click here to see answer by stanbon(57424) About Me 

Question 404778: find the slope, if it exists, of the line containing the points -10, 1/2 and -7,1/2.
The slope is m=??

Click here to see answer by stanbon(57424) About Me 

Question 404967: Find the slope if it exists
y=-10x+5
m=??

Click here to see answer by Alan3354(30993) About Me 

Question 404975: graph the line containing the given pair of points and find the slope.
(-5,5), (0,1)
m=??

Click here to see answer by ewatrrr(10682) About Me 

Question 404982: graph the equation and identify the y-intercept y=3/2x-5
Click here to see answer by ewatrrr(10682) About Me 

Question 404986: find the slope if it exists of the line.
(-1,4)
(2,-1)
is this undefined or m=???

Click here to see answer by ewatrrr(10682) About Me 

Question 404983: graph the equation and identify the y-intercept y=3/2x-5

the y intercept is???

Click here to see answer by ewatrrr(10682) About Me 

Question 404966: Please can you help me in solving this equation as i tried to solve it but unable to do it.
4xy − x3 − 2 = 0
Use algebra to determine the exact values for the x-intercepts. Then give an approximation rounded to two decimal places.
(x, y) = (_________), ~(_______)
I know how to get the equation in slope intercept form: y= (x^3+2)/4x
But unable to understand how to work further.

Click here to see answer by stanbon(57424) About Me 

Question 405036: My algebra assignment asks me to calculate, graph and answer in essay form, the following equation:
Graph: f(x) = 3x^3 + x^2 - 12x - 4
I am having difficulty understanding the steps in working these problems, let alone graphing them. I would appreciate any assistance you can provide.
Thanks, Duane

Click here to see answer by lwsshak3(6527) About Me 
Question 405036: My algebra assignment asks me to calculate, graph and answer in essay form, the following equation:
Graph: f(x) = 3x^3 + x^2 - 12x - 4
I am having difficulty understanding the steps in working these problems, let alone graphing them. I would appreciate any assistance you can provide.
Thanks, Duane

Click here to see answer by ewatrrr(10682) About Me 

Question 405129: graph the equation and identify the y intercept
y=3/2x-5

Click here to see answer by MathLover1(6649) About Me 

Question 405228: Suppose it takes you 6.8 hours to fly about 2800 miles from Miami, Florida to Seattle, Washinghton. At the same time, your friend flies from Seattle to miami. His plane travels with the same average air speed, but his fight takes only 5.6 hours. Find the average airspeed of the planes. Find the average wind speed?
Click here to see answer by stanbon(57424) About Me 

Question 364729: Architects often use the equation x=y=18 to determine the height y, in inches, of the riser of a step when the tread is x inches wide. Express the slope of the stairs designed with this equation without using the variable y.
Please help me on this.
Thank you

Click here to see answer by susan55(1) About Me 

Question 405468: An equation and two ordered pairs are given show that each pair is a solution of the equation. Then graph the two pairs to determine another solution.
2y+x=5;(-1,3), (7,-1)

Click here to see answer by mananth(12270) About Me 

Question 405469: List the coordinates of any y-intercept and the coordinates of any x-intercept. Do not graph.
-5x+6y=100

Click here to see answer by mananth(12270) About Me 

Question 405470: Find the slope.
x=-7

Click here to see answer by algebrahouse.com(1079) About Me 
Question 405470: Find the slope.
x=-7

Click here to see answer by IWork4Dessert(60) About Me 

Question 405422: Write an equation of the line containing the given point and parallel to the given line. Express your answer in the for y=mx+b. (6,7); x+5y=4
Click here to see answer by mananth(12270) About Me 

Question 405516: Graph the solution set and write it in interval notation: x+2 is less than or equal to -1.

Click here to see answer by MathLover1(6649) About Me 

Question 405570: Hello. I am having such a hard time understanding how to graph linear inequalities, from solving the problem to understanding where the points go on the x and y axis, if the line should be solid or dashed. I just can't make it click in my brain. Can you possibly show a very blunt breakdown of the following two equations? If I can follow it step by step I should be able to get it. Thank you so much!
1.) Graph 2x + y < 4
2.) Graph 4x - 3y >= 12

Click here to see answer by stanbon(57424) About Me 
Question 405570: Hello. I am having such a hard time understanding how to graph linear inequalities, from solving the problem to understanding where the points go on the x and y axis, if the line should be solid or dashed. I just can't make it click in my brain. Can you possibly show a very blunt breakdown of the following two equations? If I can follow it step by step I should be able to get it. Thank you so much!
1.) Graph 2x + y < 4
2.) Graph 4x - 3y >= 12

Click here to see answer by ewatrrr(10682) About Me 

Question 405706: how to graph y= -3x-4 and y= 3x-4
Click here to see answer by Alan3354(30993) 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