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

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Question 1023583: A line's slope is 5/3, and a point in the line is(-1,-1). Graph the line.
Click here to see answer by FrankM(1040)

Question 1023607: What is the equation of the line that passes through the points (-1,3), and (0,1)?
Click here to see answer by Cromlix(4381)

Question 1023687: Write the expression for when you translate the graph of
y = |0.5x -2|+3
a) one unit up
b) one unit down
c) one unit to the left
d) one unit to the right
Click here to see answer by Edwin McCravy(20055)

Question 1023757: Question: Which equation best models the data in the scatter plot?
The scatter plot can be seen at: (http://www.intervisualtechnology.us/data/1/17360/7.png)
1.) y = 15
2.) y = (-�)x + 26
3.) y = (-⅖)x + 19
4.) y = (-⅘)x + 33
Click here to see answer by Edwin McCravy(20055)

Question 1023755: What is the equation for when x is 1,y is -4?
Click here to see answer by fractalier(6550)

Question 1023873: Sketch a parabola that models a real-life situation and describe what the vertex represents. Determine reasonable domain and range values for this type of situation.

Click here to see answer by FrankM(1040)

Question 1023881: f(x) = (x-3)^3-1
Graph
Click here to see answer by Fombitz(32388)

Question 1023892: f(x) = 2x^2 + 8x + 5
Click here to see answer by Alan3354(69443)

Question 1023646: Sketch the graph of the function:
y=(x-2)(x-3(x+5)
1- Determine the end behavior of the function.
2- Find all x-intercepts:

-2
-1
0
1
2

3- Find all y-intercepts.
60
48
30
12
0
4- Use the x-intercepts to divide the x axis into intervals

5- Choose at least one point within each interval to show whether the function is positive or negative.
6- Sketch the graph.
I have the partial answer but I am having difficulty with the rest. Help would be greatly appreciated.

Click here to see answer by Fombitz(32388)

Question 1023820: Wha is the table of values for the function y=2x to the 2nd power?
Click here to see answer by fractalier(6550)

Question 1023954: Please help me solve 12(x-3)+2x>6
Click here to see answer by stanbon(75887)

Question 1023960: Please show me the steps to solve this problem 15 equal to or less than 19 +2(q-18)
Click here to see answer by ankor@dixie-net.com(22740)

Question 1023977: 4x=-y+4 solve and plot
Click here to see answer by stanbon(75887)

Question 1023977: 4x=-y+4 solve and plot
Click here to see answer by addingup(3677)

Question 1023979: I dont understand this sentence : Draw a scatter plot that shows a person's height and his or her age, with a description of any trends.
My question is what does it mean by trends?
Click here to see answer by stanbon(75887)

Question 1024064: If f(a) = a^2 - 12, which answer gives a correct estimate of the roots of this function?
between -3 and -4 and between 3 and 4
between 3 and 4 only
between 0 and 12 and between 0 and -12
between -12 and 12 only
Click here to see answer by rothauserc(4718)

Question 1024116: State whether the lines are parallel, perpendicular, or neither.
17. 5x + 4y = -60
y = (-4/5)x - (3/5)
A. Vertical
B. Vertigo
C. Vercengeterix
D. Perpendicular
E. Parallel
F. Not Parallel and Not Perpendicular

18. x + 6y = 196
689 = (6201/230)y + (4823/460)x
A. Vertical
B. Horizontal
C. Horizon
D. Not Parallel and Not Perpendicular
E. Parallel
F. Perpendicular
Click here to see answer by stanbon(75887)

Question 1024144: find the product of (3x + 2) and its conjugate
Click here to see answer by fractalier(6550)

Question 1024115: State whether the lines are parallel, perpendicular, or neither.
17. 5x + 4y = -60
y = (-4/5)x - (3/5)
A. Vertical
B. Vertigo
C. Vercengeterix
D. Perpendicular
E. Parallel
F. Not Parallel and Not Perpendicular
18. x + 6y = 196
689 = (6201/230)y + (4823/460)x
A. Vertical
B. Horizontal
C. Horizon
D. Not Parallel and Not Perpendicular
E. Parallel
F. Perpendicular
Click here to see answer by Fombitz(32388)

Question 1024153: could someone make graph of a quadratic function related to a quadratic equation that has a solution of only x = 4?
Thanks!
Click here to see answer by richard1234(7193)

Question 1024156: Draw a graph to show a counterexample to the following statement. Explain.
All quadratic equations have two different solutions
Click here to see answer by Fombitz(32388)

Question 1024311: Label each statement as true or false. If false, correct the equation
If |n + 9| <_ 4 then n + 9 >_ -4 and n + 9 <_4
If y - x < 5 -x then y<5
If 3 |r+2| > 9 then r + 2 > 3 or r + 2 < -3
If 9 > -3w - 51 > 60 then -3 < w + 17 < - 20

Click here to see answer by stanbon(75887)

Question 1024317: Test the point (0,0) in the inequalities
1. 3x-2y <= 5
2. y + x < 2 (x-1) - x
I've solved the inequalities and graphed them, I just need help with point testing the point (0,0)
Here are the solved equations...
1. Y >= 1.5x - 2.5
2. y<-2
Click here to see answer by richard1234(7193)

Question 1024483: A (x,y) is a point on the number plane. B is formed by reversing the coordinate of A. Show that AB is perpendicular to the line y=x and show that the midpoint C of AB which is lying on y=x.
How do I do this? Please explain
Click here to see answer by josgarithmetic(39617)

Question 1024427: Graph the function.
y= 1, if x<0
y= 2, if 0 is less than or equal to x<1
y= 3, if X is greater than or equal to 1

Click here to see answer by Fombitz(32388)

Question 1023934: Solve the following system by graphing and identify the point of intersection.
5x+3y=-15 and
2x-y=-5
Click here to see answer by Fombitz(32388)

Question 1024584: What is the slope intercept for 10x-7y=-8
Click here to see answer by Alan3354(69443)

Question 1024621: -3(2-4)+6

Click here to see answer by fractalier(6550)

Question 1024660: What is the y intercept for -6x - 6y = -6
Click here to see answer by Theo(13342)

Question 1024710: Graph the line whose
x
-intercept is
−9
and whose
y
-intercept is
−4
.
Click here to see answer by Alan3354(69443)

Question 1024787: Suppose point the (2,4) was on the graph of f(x) what would the point be reflected across the x axis.
Click here to see answer by josgarithmetic(39617)

Question 1024797: Find the absolute extrema of
f(x)=x^a(1-x)^b
where 01
I have the derivative
f'(x)=ax^(a-1)(1-x)^b-x^(a)b(1-x)^(b-1)
Unsure of where to go from this point. Thank you for the help
Click here to see answer by ikleyn(52780)

Question 1024818: For the line given below, identity the slope (m) and the y-intercepts (b). Make sure to write the y-intercepts as ordered pairs.......

Example: y=-x-6
How do you write the y-intercept as an ordered pair?
Click here to see answer by rfer(16322)

Question 1024904: What is the domain and range of y=1/x+3 +3
Click here to see answer by Fombitz(32388)

Question 1024904: What is the domain and range of y=1/x+3 +3
Click here to see answer by ikleyn(52780)

Question 1024963: One printing press can produce a newspaper in six hours running alone. . A second press can produce the paper and nine hours running alone a third press can produce the paper in nine hours running alone. A third press could produce the paper in 12 hours working alone. A late breaking headline cause the newspaper to change the paper later than usual. If all three presses are running , How long will it take to produce the newspaper
Click here to see answer by josmiceli(19441)

Question 1025041: How do u graph this inequality 3x-y>0
Click here to see answer by Alan3354(69443)

Question 1025089: Explain why it would not be preferable to solve -x+2/9y=1 and 9x+3y=6 by graphing
Click here to see answer by Fombitz(32388)

Question 1025106: what is the solution to y= -4/3x - 2
Click here to see answer by Alan3354(69443)

Question 1025157: graph the linear inequality, 3x-4y<12

Click here to see answer by FrankM(1040)

Question 1025335: Find the center of the circle whose equation is (x - 2)� + (y - 4)� = 9.
Click here to see answer by Fombitz(32388)

Question 1025488: How do you work out the gradient of the line perpendicular to the line with the equation y=3x-5?
I have tried plotting the line on a graph where y intercepts the line at -5, but cannot figure out what to do next?
Click here to see answer by Fombitz(32388)

Question 1025463: A community theater group finds that their funding is cut by 12% each year. This year, they receive $10,000 in funding from grants and donors.
Write an exponential function that models this situation where y is the amount of funding and x is time in years.
y(x) =10,000 � 0.88^x?
Use your equation above to complete the chart.
Years Funding
0
2
4
8
12
16
Click here to see answer by Fombitz(32388)

Question 1025577: what equation passes through (10,10) & is perpendicular to the line described by y=-1/2x-3?
Click here to see answer by stanbon(75887)

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