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

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Question 135383: State the solution set of the inequality 2x + 3 >1 in interval notation.
2x + 3 > 1
2x + 3 - 3 > 1 -3
2x > -2

2x > -2/2 divide both sides by 2
2
x = -1 now I have to put that in interval notation
x > -1 (x, -1] Is my interval notation right?

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Question 135437: Solve and give answer in interval notation

x%5E2-8x%2B12%3C=0

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Question 135438: Solve and give answer in interval notation

x%5E2-8x%2B12%3C=0

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Question 135439: Solve and give answer in interval notation

x%5E2+%3E=+3%2Ax%2B4

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Question 135440: Solve and give answer in interval notation

%284x-5%29%2F%28x%2B3%29%3C3

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Question 135442: Solve the system

y=12x-19

y=x%5E2%2B5x-7

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Question 135444: Graph the system and find the intersection(s)

y=x%5E2%2B3x-6
y=x%2B2

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Question 135446: Solve by substitution
x%5E2%2By%5E2=16
x%5E2-2y=8

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Question 135447: Solve by graphing

y=x%5E2-4x%2B2
y=x%2B2

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Question 135451: Solve 7%2F%28x%5E2-6x-16%29%3C=0
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Question 135454: Solve x%5E2%2B3x-10%3E=0
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Question 135456: Solve x%5E2-16%3C=0
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Question 135458: Solve %283x%5E2%2B13x%2B4%29%2F%28x%2B6%29%3E0
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Question 135472: Solve x%2B2=root%283%2C12x%2B2%29
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Question 135510: Solve sqrt%283x%2B4%29-sqrt%282x%2B1%29=1
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Question 135513: Find the solutions of y=x%5E2%2B3x%2B2 by using the graph
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Question 135529: For what value of c will the equation x%5E2%2B12x%2Bc=0 have one distinct solution?
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Question 135530: Solve the system by substitution
y=x%5E2-4
y=6x-13

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Question 135536: Solve x%5E3%2B2x%5E2-11x-12%3C0
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Question 135655: y = 2x + 4 is the equation and they want to know what the orderd pair of the point that crosses the y axis is. We don't know what the orderd pair means.
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Question 135655: y = 2x + 4 is the equation and they want to know what the orderd pair of the point that crosses the y axis is. We don't know what the orderd pair means.
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Question 135658:
So there's this problem that says state the slope and y-intercept for 2x=5y-11. I know that the slope-intercept formula is y=mx+b, but I'm not sure if the slope is 2 or 5.

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Question 135660: I have a problem that says write the equation of the line that passes through the points (3,-7) & (-2,1). Use slope/intercept form. I thought with a problem like this you would use the point-slope form?
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Question 135796: how do you find rhe x and y intercepts of similar problems
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Question 135807: Using the equation: y=20x-5x%5E2 How do you figure out where the graph will cross the axis? I know it will be in two places but I don't know how to figure it out.
Thank you

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Question 135807: Using the equation: y=20x-5x%5E2 How do you figure out where the graph will cross the axis? I know it will be in two places but I don't know how to figure it out.
Thank you

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Question 135815: How can i find the x-intercepts of a graph
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Question 135893: THe value if a car over several years is shown in the table at the left.(bottom)
a.Determine which model is most appropriate for the data.
b.Write an euation to model the data.
Age Value
(years) (dollars)
___________________
0 16500
1 14500
2 12750
3 11200
4 9900

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Question 135782: please help me solve this equation f(x) = 3x^2 -41
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Question 135933: Please help!!!
What is the difference between domain and range? Describe a real-life situation that could be modeled by a function. Describe the values for x that may not be appropriate values. A function could, for example, indicate the amount of bone strength (y) in a living human body over time in years (x). It would not make sense to look at negative years, because the person would not yet be born. Likewise, looking beyond 100 years might not make sense as many people do not live to be 100.
This is way over my head. Help....

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Question 135936: I do not understand how to set up this equation.
A consumer electronics company sells 6.7 million MP3 players per month at a price of $100 a piece; when the price is lowered to $80, the company sells 10.2 million players per month. How many MP3 players can the company expect to sell per month at a price of $75?
Thank you!!

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Question 135958: My question comes from the pre-calculus CLEP study guide from collegeboard.com. It is an Algebra problem and a graph, but I am unable to paste the graph into this box.



Here is the question and a verbal explanation of the graph. I can send it to an email address if that is a possibility.


The figure above shows the complete graphs of the functions f and g. Based on the graphs, the equation f(x) - g(x) = 0 has how many roots?


The graph is on a cartesian plane. The y=f(x) graph is a slope with a y-intercept of about 2 and an x intercept of about -4, and is upward sloping to the right. The y=g(x) is a curvy graph. Please excuse my description, I am unaware of the actual graphing equation used for it so bare with me. It begins down at -4,-4 curves upward and hits a mzxima at around 1,3 curves back down to a minima of 3,-2 curves back upward to a maxima of about 5,1, and then makes a final curve down to a stopping point at about 7,-3.


My question is: what is the process for finding these roots when there are no numbers to guide you. What do plug in, or utilize to find the answer? I am stuck on this one, and it is the first question on the study guide. There was a similar question on the College Algebra CLEP study guide. Thank you for all of your help. If you need me to email you the graph, please send me a link of where I can send it.


Thanks again.


Cheryl

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Question 135957: I am looking for feedback as to whether this was done correctly.
Find an equation in slope-intercept form passing through the points (2,5) and (7,-3).
m = -3 - 5/7 – 2 = -8/5
5 = -8/7 (2) + b
35 = 16 – 7b
35 + 16 = (7b – 16) + 16
51 = 7b – 16 + 16
51 = 7b
51/7 = b
y = -8/5x – 51/7

Thanks!

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Question 135994: y+x=6
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Question 135990: Find the slope of a parallel line for -3x+4y=15
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Question 135989: Find the slope of a parallel line for Y=-3/4x+2
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Question 136162: Ok I have problems that me and my mom can't understand.I know its probably easy to understand but here they are:
Find the equation of the line described below.Write the equation in general form.
1)The Line passing through point (2,4), parallel to y=x



I Hope that you can help me....Thanks

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Question 136162: Ok I have problems that me and my mom can't understand.I know its probably easy to understand but here they are:
Find the equation of the line described below.Write the equation in general form.
1)The Line passing through point (2,4), parallel to y=x



I Hope that you can help me....Thanks

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Question 136163: Ok I have a problem that me and my mom can't understand.I know its probably easy to understand but here they are:
Find the equation of the line described below.Write the equation in general form.

1)The Line passing through point (2,2), perpendicular to y=x


I Hope that you can help me....Thanks

Click here to see answer by vleith(2825) About Me 

Question 136233: hey i dont unnderstand this and niether do my parents.
graphing systems of equations.
ok. heres one of my questions.
-5x=-21+6y
-5x+1y=-84
and i have to find a solution but dont know how
please help if you can thx bye

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Question 136344: how do i graph x+2y=-6?
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Question 136344: how do i graph x+2y=-6?
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Question 136345: how do i graph x+2y=-6?
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Question 136319: please show me step by step how to graph 2x+y>-3.
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Question 136363: I do not understand how to set up this equation.
A semiconductor manufacturer seeks to maximize its profits. Testing indicates that they can produce 100,000 chips per week at a cost of $40 per chip, and sell them for $65 per chip. They also find that they can produce 125,000 chips per week at a cost of $35 per chip, and sell them for $63 per chip. How much profit can they expect to earn if they produce 130,000 chips per week?
Thank you very much!!!!

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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