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

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Question 89496: Graph the equation 3x - y = -1.
Click here to see answer by checkley75(3666) About Me 

Question 89495: Write the equation of the line passing though (5,2) and (4,-2).

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Question 89493: Find the vertex of the graph of the parabola f(x) = -x2 + 4x - 5
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Question 89568: Graph the following and state the domain and range.
y = (x - 1)^3

Click here to see answer by stanbon(75887) About Me 

Question 89569: Graph the following. Find the asymptotes, if any. State the domain and range, and describe the concavity.
y = __1_
x + 1

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Question 89852: Write an equation using two variables for the total cost of the fence. Use x and y to represent the width and length of the rectangle. Solve the equation for one of the variables (either x or y).
Click here to see answer by stanbon(75887) About Me 

Question 89859: find the intersection of the lines 2x-3y=11 and x+4y=-11
Click here to see answer by checkley75(3666) About Me 

Question 89944: Please help me with these.
Add- 5b - 8b + 2b^2 and 3b^2 - 7b^3 + 5b.
Remove the parenthese and simplify if possible.
8d - ( -7c - 2d)
Subtract- 4x - 2x^2 + 4x^3 and 4x^3 + x - 3x^2.

Add using the vertical method.
5x^2 + 2x - 4, x^2 - 2x - 3, and 2x^2 -x - 3.
THANK YOU FOR YOUR HELP.

Click here to see answer by malakumar_kos@yahoo.com(315) About Me 

Question 89996: Find the real zeros of the polynomial function P(x) = x(x + 1)(x2 - 81).
A. 0, -1, 9, -9
B. 0, -1, 9
C. -1, 9, -9
D. 0, 1, 9


Click here to see answer by Earlsdon(6294) About Me 

Question 89995: Sketch the graph of P(x) = 4x2 - x3.
Click here to see answer by Earlsdon(6294) About Me 

Question 89994: Determine the maximum or minimum range value [P(x)] of the function P(x) = -3x2 + 6x + 5. State whether this value is a maximum or a minimum.
Click here to see answer by Earlsdon(6294) About Me 

Question 90016: How are the zeros for a function (the values that make the function value equal zero), and the x-intercepts for the graph of the function related to each other?


A quadratic function has a definite maximum or minimum point (its vertex) that other polynomials may not have. This makes it a good candidate for use in application problems that may require finding a maximum or minimum quantity. If A(x) = -6x2 + 2x + 3 is used to describe a situation involving Area, or Altitude, or Age. How would you go about using the function and its graph to determine the maximum area, altitude or age?
Please explain!!!!

Click here to see answer by Earlsdon(6294) About Me 

Question 89993: Solve the system below using graphing. Write down the solution as an ordered pair.
x+2y= -4
x-y=5
Solution( , )

The perimeter of a rectangular field is 460 yards. If the length is 30 yards more than the width, find the dimensions of the field.

Click here to see answer by checkley75(3666) About Me 

Question 90055: you are given the following info about a line (0,-3) and (-3,-6).using this info solve for the slope (m) and the y-intercept(b)
you are given one coordinate point (1,4) and the slope of 2/3 solve for the y-intercept
thanks...this question is from a work sheet

Click here to see answer by checkley75(3666) About Me 

Question 90098: Find values for m and b in the following system so that the solution to the system is ( 1, 2).
mx+ 3y = 8
-3x + 4y = b

Click here to see answer by malakumar_kos@yahoo.com(315) About Me 

Question 90130: Draw the graph of this equation:y=1/3x-3
Click here to see answer by jim_thompson5910(35256) About Me 

Question 90218: I need to identify the axis of symmetry, create a suitable table of values and the sketch a graph including the axis of symmetry for y = x^2 - 5x + 3.
I know the formula to find the axis is x = -b/2(a)thus...
x = -(-5)/2(1) = 5/2
From here on out I'm lost. I get really confused when there is a fraction. I don't which values to choose and why to choose them.
Please help.

Click here to see answer by scott8148(6628) About Me 

Question 90223: I need to identify the axis of symmetry, create a suitable table of values and sketch a graph including the axis of symmetry for: y = x^2 - 5x +3
I know the formula to find the axis is x = -b/2a thus
x = -(-5)/2(1) = 5/2
From here on out I'm lost. I get really confused whenever fractions are involved. I'm not sure what numbers to choose for my values and why to choose those numbers.
Any help would be appreciate.

Click here to see answer by scott8148(6628) About Me 
Question 90223: I need to identify the axis of symmetry, create a suitable table of values and sketch a graph including the axis of symmetry for: y = x^2 - 5x +3
I know the formula to find the axis is x = -b/2a thus
x = -(-5)/2(1) = 5/2
From here on out I'm lost. I get really confused whenever fractions are involved. I'm not sure what numbers to choose for my values and why to choose those numbers.
Any help would be appreciate.

Click here to see answer by jim_thompson5910(35256) About Me 

Question 90273: Graph the inequality.
2x + 3y > 6

Click here to see answer by jim_thompson5910(35256) About Me 

Question 90277: Graph f(x) = –x – 2.
Click here to see answer by jim_thompson5910(35256) About Me 

Question 90276: Graph f(x) = –2x + 4.
Click here to see answer by jim_thompson5910(35256) About Me 

Question 90275: Graph f(x) = 4x + 1
Click here to see answer by jim_thompson5910(35256) About Me 

Question 90274: Graph f(x) = 4x + 1
Click here to see answer by jim_thompson5910(35256) About Me 

Question 90271: Graph the inequality.
x < –2

Click here to see answer by jim_thompson5910(35256) About Me 

Question 90279: What is the remainder when 4x3 + 5x2 - 13x - 7 is divided by x - 2?

I came up with -33 is this correct?

Click here to see answer by jim_thompson5910(35256) About Me 

Question 90278: The result of dividing x4 - 2x3 + x2 - 3x + 2 by x - 2 is
I came up with x3 + x - 1
Is this right?

Click here to see answer by jim_thompson5910(35256) About Me 

Question 90269: Graph the inequality.
3x + y < 5

Click here to see answer by jim_thompson5910(35256) About Me 

Question 90256: Solve each of the following systems by graphing
2x – y = 4 and 2x – y = 6

Click here to see answer by checkley75(3666) About Me 

Question 90258: Solve each of the following systems by graphing
3x – 6y = 9 and x – 2y = 3

Click here to see answer by checkley75(3666) About Me 

Question 90270: Graph the inequality.
y > 1

Click here to see answer by jim_thompson5910(35256) About Me 

Question 90257: Solve each of the following systems by graphing
x – 2y = 8 and 3x – 2y = 12

Click here to see answer by checkley75(3666) About Me 

Question 90272: Graph the inequality.
y > 3x

Click here to see answer by jim_thompson5910(35256) About Me 
Question 90272: Graph the inequality.
y > 3x

Click here to see answer by Edwin McCravy(20054) About Me 

Question 90259: Solve each of the following systems by addition. If a unique solution does not exist, state whether the system is inconsistent or dependent. Problem 12 is reminiscent of Examples 1, 2 and 3 (pp 690-692) and Problem 20 is much like Example 4 (p 693)
12) 2x + 3y = 1
5x + 3y = 16


20) x + 5y = 10
-2x – 10y = -20

Click here to see answer by jim_thompson5910(35256) About Me 

Question 90289: Given f(x)=5x2-3x+1, find f(-2)
Click here to see answer by jim_thompson5910(35256) About Me 

Question 90397: Graph: f%28x%29=sqrt%28x+%2B+2%29
Can you help me? Thank you so much!

Click here to see answer by stanbon(75887) About Me 
Question 90397: Graph: f%28x%29=sqrt%28x+%2B+2%29
Can you help me? Thank you so much!

Click here to see answer by Edwin McCravy(20054) About Me 

Question 90331: From a square piece of cardboard with width x inches, a square of width x-3 inches is removed from the center. Write the area of the remaining piece as a function of x.
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 90432: Solve the system by addition or substitution.
3x – 4y = 8
6x – 2y = 10

Click here to see answer by malakumar_kos@yahoo.com(315) About Me 

Question 90431: Solve the system by substitution.
3x – y = –7
x + y = –9

Click here to see answer by malakumar_kos@yahoo.com(315) About Me 

Question 90429: Solve the system by substitution.
x + y = 12
y = 2x

Click here to see answer by malakumar_kos@yahoo.com(315) About Me 

Question 89491: : Determine the domain of the function f(x) = sqr 6-x
A. all real numbers
B. all positive real numbers
C. x 6
D. x < 6

Click here to see answer by Nate(3500) About Me 

Question 90420: Graph f(x) = 4x + 1.
Click here to see answer by bucky(2189) About Me 

Question 90488: Solve the system by graphing.
x – 2y = 8
x + y = –1

Click here to see answer by stanbon(75887) 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, 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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