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

Tutors Answer Your Questions about Graphs (FREE)

Question 1198414: Graph the solution for the following system of inequalities.
4x-2y < or equal to 6
X > 3

Click here to see answer by ikleyn(52777)

Question 1198254: On a trip to visit her mother, Anita has
already driven 200 miles. She is currently
driving at an average speed of 50 miles
per hour.
Graph the function that shows the number of
hours, h, the rest of the trip will take and the total
numbers of miles, m, that Anita wil drive.
Click here to see answer by Alan3354(69443)

Question 1198675: Please help me solve this equation (x-1)^2 (p-x)
Click here to see answer by MathLover1(20849)

Question 1198675: Please help me solve this equation (x-1)^2 (p-x)
Click here to see answer by Alan3354(69443)

Question 1198692: Solve the system x + 2y = -13
and 4x - 3y = 25 using substitution
method. Please include complete solutions.
Click here to see answer by Alan3354(69443)

Question 1198691: Solve the system x + 2y = -13
and 4x - 3y = 25 using substitution
method. Please include complete solutions.
Click here to see answer by Alan3354(69443)

Question 1198859: Describe the graph of the function f(x)=- absolute value of (x+5) + 3
One of the following is the correct answer. Which one is correct?
A) vertex (5,3), opens down
B) vertex (5,3), opens up
C) vertex (-5,3), opens down
D) vertex (-5,3), opens up
Click here to see answer by Theo(13342)

Question 1198861: Which of the following is true of f(x)?
f(x)= (x^2+8x+15)/(x^2-2x-15).
One of the following is the correct answer. Which one is correct?
A) f(x) has vertical asymptotes at x=5 and x=-2, and a horizontal asymptote at y=1
B) f(x) has vertical asymptotes at x=-3 and a horizontal asymptote at y=0
C) f(x) has vertical asymptotes at x=-3, a hole at x5, and a horizontal asymptote.
D) f(x) has vertical asymptotes at x=5, a hole at x=-3, and a horizontal asymptote at y=1

Click here to see answer by MathLover1(20849)

Question 1198870: A farmer is going to divide her 60 acre farm between two crops. Seed for crop A costs $25 per acre. Seed for crop B costs $50 per acre. The farmer can spend at most $2500 on seed. If crop B brings in a profit of $80 per acre, and crop A brings in a profit of $110 per acre, how many acres of each crop should the farmer plant to maximize her profit?
Acres of crop A=
Acres of crop B=

Click here to see answer by ikleyn(52777)

Question 1198868: Solve the linear programming programing by graphing and then determining which vertex maximizes the objective function M=3x+4y

5x+y≤25
2x+3y≤36
x≥0
y≥0
x =
y =

What is the maximum value? M =

Click here to see answer by ikleyn(52777)

Question 1198866: Solve the linear programming programing by graphing and then determining which vertex maximizes the objective function P=7x+9y
x+2y≤10
4x+y≤12
x≥0
y≥0

x =
y =
What is the maximum value? P =

Click here to see answer by ikleyn(52777)

Question 1198873: Graph:
{y<2x+1
{y>−1/4x−1
(the 1/4 is a fraction :) )

Click here to see answer by ikleyn(52777)

Question 1198888: Graph the following systems of Linear Inequalities. Shade the feasible region.
a.x ≥ 0
y ≥ 0
x + y ≥ 1
b.x - 3y ≥ -6
x - y ≤ 4
x - y ≤ 5
c.2x + y < 6
y < 6
y ≥ 5x - 15

Click here to see answer by ikleyn(52777)

Question 1198872: A manufacturer produces two models of mountain bikes. Model A requires 5 hours of assembly time and 2 hours of painting time, and Model B requires 4 hours of assembly time and 3 hours of painting time. The maximum total weekly hours available in the assembly department and the painting department are 200 hours and 108 hours, respectively. The profits per unit are $25 for Model A and $15 for Model B. How many of each type should be produced to maximize profit?
Bikes of Model A=
Bikes of Model B=
Click here to see answer by Theo(13342)

Question 1198953: A farmer has a field of 70 acres in which he plants potatoes and corn. The seed for potatoes costs $20/acre, the seed for corn costs $60/acre, and the farmer has set aside $3000 to spend on seed. The profit per acre of potatoes is $150 and the profit for corn is $50 an acre. How many acres of each should the farmer plant?
Acres of potatoes=
Acres of corn=
What is the maximum profit $?
Click here to see answer by ikleyn(52777)

Question 1198952: Maximize P=10x+40y
2x+y≤100
80x+10y≤500
30x+10y≤2000
X≥0
y≥0
Use the simplex method to solve the problem. Use s, t, and u as your slack variables for the first, second, and third inequalities respectively. Use the final simplex tableau to identify the values below.
X=
Click here to see answer by math_tutor2020(3816)

Question 1198988: Solve the linear programming programing by graphing and then determining which vertex maximizes the objective function M=3x+4y
5x+y≤25
2x+3y≤36
x≥0
y≥0
x =
y =
What is the maximum value? M=
Click here to see answer by Theo(13342)

Question 1198989: Graph:
y−4x≥2

Click here to see answer by Alan3354(69443)

Question 1198987: Solve the linear programming programing by graphing and then determining which vertex maximizes the objective function
P=7x+9y

x+2y≤10
4x+y≤12
x≥0
y≥0

What is the maximum value? P =

Click here to see answer by Theo(13342)

Question 1198986: Graph the solution to the system of inequalities given below:
x≤2

y>−2x+2

Click here to see answer by Theo(13342)

Question 1198986: Graph the solution to the system of inequalities given below:
x≤2

y>−2x+2

Click here to see answer by ikleyn(52777)

Question 1198986: Graph the solution to the system of inequalities given below:
x≤2

y>−2x+2

Click here to see answer by math_tutor2020(3816)

Question 1198985: ---------------
Maximize f=7x1+5x2 subject to
8x1+6x2≤65
7x1+9x2≤70
x1≥0
x2≥0

[ ][ ][ ][ ][ ]
[ ][ ][ ][ ][ ]
[ ][ ][ ][ ][ ]
Click here to see answer by Edwin McCravy(20054)

Question 1199019: Find the midpoint of the line segment with endpoints (-8,4) and (-2,-6)
Find the equation of a line in slope intercept form that has a slope of -5 and passes through the point (4,-1)
Find the equation of a line in standard form that passes through the point (1,2) and is parallel to the line y=3x+8
Click here to see answer by josgarithmetic(39617)

Question 1199015: Find the slope of the line containing the points (-4,1) and (6,4)
Find the slope of the line defined by the equation 2x+3y=5
Click here to see answer by josgarithmetic(39617)

Question 1199013: Determine whether the graphs of each pair of lines are parallel(PL), perpendicular (PR), or neither (N).
1. y+5=-x
x-y= 2
2. y-x= -3
x+4= y
3. 5x-y=8
5y=-x+3
4. 2y=3x+12
3y=2x-5
Click here to see answer by math_tutor2020(3816)

Question 1198984: Maximize P=60x+50y
5x+10y≤560
50x+20y≤1600
3x1+2x2≤60
x≥0
y≥0
Use the simplex method to solve the problem. Use s, t, and u as your slack variables for the first, second, and third inequalities respectively. Use the final simplex tableau to identify the values below.
x=
y=
s=
t=
u=
p=

Click here to see answer by Edwin McCravy(20054)

Question 1199037: Maximize
P=60x+50y
x+y≤80
5x+10y≤560
50x+20y≤1600
x≥0
y≥0

Use the simplex method to solve the problem. Use s, t, and u as your slack variables for the first, second, and third inequalities respectively. Use the final simplex tableau to identify the values below.
x=?
y=?
s=?
t=?
u=?
p=?
Click here to see answer by ikleyn(52777)

Question 1198983: Maximize f=11x1+5x2 subject to
6x1+3x2+4x3≤60

11x1+6x2≤55

3x1+2x2≤60

x1≥0

x2≥0

[ ][ ][ ][ ][ ]
[ ][ ][ ][ ][ ]
[ ][ ][ ][ ][ ]
Click here to see answer by ikleyn(52777)

Question 1198981: Maximize f=8x1+3x2+9x3 subject to
6x1+3x2+4x3≤60

3x1+8x2+11x3≤50

6x1+5x2+4x3≤45

x1≥0

x2≥0

x3≥0
[ ][ ][ ][ ][ ][ ][ ]
[ ][ ][ ][ ][ ][ ][ ]
[ ][ ][ ][ ][ ][ ][ ]
[ ][ ][ ][ ][ ][ ][ ]

Click here to see answer by ikleyn(52777)

Question 1198980: Using the information below to create the initial simplex matrix. Assume all variables are nonnegative.
Maximize
f=8x1+11x2 subject to
7x1+8x2≤45

11x1+8x2≤50
x1≥0

x2≥0
[ ][ ][ ][ ][ ]
[ ][ ][ ][ ][ ]
[ ][ ][ ][ ][ ]

Click here to see answer by ikleyn(52777)

Question 1198951: Maximize P=60x+50y
x+y≤80
5x+10y≤560
50x+20y≤1600
X≥0
y≥0
Use the simplex method to solve the problem. Use s, t, and u as your slack variables for the first, second, and third inequalities respectively. Use the final simplex tableau to identify the values below.
X=
Y=
S=
T=
U=
P=
Click here to see answer by ikleyn(52777)

Question 1199036: Graph:

{ y<2x+1
y>−1/4x−1

Click here to see answer by ikleyn(52777)

Question 1199234: Maximize P=3x + 2y
Subject to 2x +3y ≤ 12
x + y ≤ 8
x ≥ 0, y ≥ 0

Click here to see answer by math_tutor2020(3816)

Question 1199243: The graph of a basic cubic function k(x)=x^3 is shown. Suppose that p(x)=k(x+3). Use reference points and symmetry to complete the table of values for p(x). Then graph p(x) on the same coordinate plane as k(x) and label it.
\Reference points k(x) given
(0,0)
(1,1)
(2,8)
I am having a hard time with the substitution -I can do the graph once I have the substitution done

Click here to see answer by math_tutor2020(3816)

Question 1199325: Solve for x.
0 < (2/x) < 3/5
How is this done?
Click here to see answer by Alan3354(69443)

Question 1199342: Solve the inequality. Express your answers using set notation or interval notation. Graph the solution set.
0 < (2x - 4)^(-1) < 1/2

Let me see.

Let (2x - 4)^(-1) be 1/(2x - 4).

We now have this:

0 < 1/(2x - 4) < 1/2

Stuck here....
Click here to see answer by Theo(13342)

Question 1199343: Find a and b.

If -3 < x < 0, then a < 1/(x + 4) < b
Click here to see answer by math_tutor2020(3816)

Question 1199371: Solve the inequality.

x^2 < 4

-4 < x^2 < 4

I must take the square root on all three sides.
The problem is -4. I cannot take the square root of -4

Stuck here.
Click here to see answer by ikleyn(52777)

Question 1199372: Solve the inequality.

x^2 > 16

x^2 < -16 or x^2 > 16

1. Can I take the square of x^2 > 16?
2. What about x^2 < -16?

Stuck here....
Click here to see answer by ikleyn(52777)

Question 1199370: Find a and b.

If | x + 2 | < 5, then a < x - 2 < b.

Must I solve left side inequality first?

If so, -5 < x + 2 < 5 is the set up.

Subteact 2 from all sides.

-5 - 2 < x < 5 - 2

-7 < x < 3

Is this correct? If correct, what is the next step?

Click here to see answer by ikleyn(52777)

Question 1199369: Solve the inequality.
|-4x| + |-5| ≤ 1

|-4x| + -5 ≤ 1

|-4x| + ≤ 1 + 5

|-4x| ≤ 6

-6 < -4x < 6

-6/-4 > x > 6/-4

3/2 > x > -3/2

Let S = solution set

My answer: S = {x | 3/2 > x > -3/2}

Textbook answer: No solution.

What did I do wrong? Why is the empty set or no solution the right answer?

Click here to see answer by ikleyn(52777)

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