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

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Question 251626: could you please help me with these problems, thank you.

For problems 1 and 2, graph each system of linear inequalities. Tell whether the graph is bounded or unbounded and list each corner point of the graph.
1. x ≥ 0, y ≥ 0, 2x + 3y ≥ 6
2. x ≥ 0, y ≥ 0, 3x + y ≥ 4, 2x + 3y ≥ 5

Click here to see answer by MRperkins(300)

Question 251696: The Crowd that heard the president speak was estimated to be 10000 people. the actual crowd could be 750 people more or less than this. What are the possible values for the actual crowd size.?
Click here to see answer by richwmiller(17219)

Question 251697: Victor's goal is to earn $75 per week at his after-school job. Last month he was within $6.50 of his goal. Find the range of amounts that victor might have earned last month
Click here to see answer by richwmiller(17219)

Question 251360: Graph the inequality
y>=-2
x>=6
Click here to see answer by College Student(505)

Question 251703: A certain diet requires at least 60 units of protein, no more than 120 units of sodium, and no more than 80 units of fat. From each serving of food A there are derived 30 units of protein, 30 units of sodium, and 10 units of fat. From each serving of food B, there are derived 20 units of protein, 20 units of sodium, and 20 units of fat. If food A costs $1.00 per serving and food B costs $0.90 per serving, how many servings of each food can there be while keeping cost at a minimum?
Click here to see answer by richwmiller(17219)

Question 251750: Maximize z = 2x + 4y subject to the constraints

x ≥ 0, y ≥ 0, x + y ≥ 1, 3x + 2y <= 6

Click here to see answer by Edwin McCravy(20055)

Question 251779: graph the equation 6y=30
Click here to see answer by richwmiller(17219)

Question 251813: How do you know what way u should draw the line on the graph when graphing inequalities?
Click here to see answer by stanbon(75887)

Question 251813: How do you know what way u should draw the line on the graph when graphing inequalities?
Click here to see answer by dabanfield(803)

Question 251579: how do you graph y=3x^3-9x?
Click here to see answer by oberobic(2304)

Question 251879: Maximize z = 3x + 5y subject to the constraints

x ≥ 0, y ≥ 0, y <= 8, x + y ≥ 2, 4x + y <= 12
Click here to see answer by solver91311(24713)

Question 251879: Maximize z = 3x + 5y subject to the constraints

x ≥ 0, y ≥ 0, y <= 8, x + y ≥ 2, 4x + y <= 12
Click here to see answer by jsmallt9(3758)

Question 251901: The slope-intercept form of the equation of a line is
Click here to see answer by richwmiller(17219)

Question 251898: On the rectangular coordinate system, plot the point (-1, -2)
Click here to see answer by richwmiller(17219)

Question 251899: Graph the equation 1
_---x + 2
3
Click here to see answer by checkley77(12844)

Question 251899: Graph the equation 1
_---x + 2
3
Click here to see answer by College Student(505)

Question 251704: Determine if the following maximum linear programming problem is in standard form. Do NOT solve.
Maximize P = 2x1 + 3x2 + 8x3

Subject to the constraints:
0 <= x1 <= 4
x2 ≥ 0
x3 ≥ 0
x4 ≥ 0
x2 + x3 + x4 <= 8

Click here to see answer by solver91311(24713)

Question 251949: Find the slope of the line that passes through the points (-3, -6) and (1, 6)
Click here to see answer by solver91311(24713)

Question 251950: Find the slope of the line determined by the equation 6x -3y = 18
Click here to see answer by solver91311(24713)

Question 251951: Find the equation of the line perpendicular to the line x = 4 and passing through the point (4, 2)
Click here to see answer by solver91311(24713)

Question 251955: I need to find the slope of the line joining the points A (-3, 2) and B (0, 4)
Click here to see answer by solver91311(24713)

Question 251955: I need to find the slope of the line joining the points A (-3, 2) and B (0, 4)
Click here to see answer by nyc_function(2741)

Question 251954: I need to find the midpoint of the line segment joining (4, 8) and (-2, -6)
Click here to see answer by nyc_function(2741)

Question 251954: I need to find the midpoint of the line segment joining (4, 8) and (-2, -6)
Click here to see answer by solver91311(24713)

Question 251952: Which one of the following equations represents the y-axis
Click here to see answer by nyc_function(2741)

Question 251952: Which one of the following equations represents the y-axis
Click here to see answer by richwmiller(17219)

Question 251287: Is this true or false? To graph a line using its slope and intercept, it must be in slope intercept form.
Click here to see answer by solver91311(24713)

Question 251959: Maximize z = 3x + 5y subject to the constraints

x ≥ 0, y ≥ 0, y <= 8, x + y ≥ 2, 4x + y <= 12
Click here to see answer by jsmallt9(3758)

Question 251962: Given the slope of -1/2 and the coordinate of (0,3) where is the next point?
Click here to see answer by richwmiller(17219)

Question 252062: The following maximum problem is in standard form. Introduce slack variables and set up the initial simplex.
Maximize P = 2x1 + 4x2 + x3

Subject to the constraints:
x1 + x2 + x3 <= 12
x1 ≥ 0
x2 ≥ 0
x3 ≥ 0
x1 + x2 <= 6
2x1 - x2 + 3x3 <= 6
Click here to see answer by solver91311(24713)

Question 252086: how do you solve this equation and graph it.
3x+8y-6=0
Click here to see answer by richwmiller(17219)

Question 252098: Which is the more informative an equation or a graph and why?
Click here to see answer by rapaljer(4671)

Question 252082: find maximize profits?
Total raw materials = 500 lbs
Total Operation hours = 1,000 hrs
Raw material, hour, and profit requirements for each product:
A - 2 lbs requiring 4 hours to make $500 profit
B - 2 lbs requiring 5 hours to make $600 profit
C - 3 lbs requiring 5 hours to make $1,000 profit
2x+2y+3z <= 500
4x+5y+5z <= 1000

Click here to see answer by hokies(65)

Question 252142: Write an equation of the line that passes through the point (2,3) and is perpendicular to the line y=1/2x-1. If possible I need the work too.
Click here to see answer by drk(1908)

Question 252065: The following maximum problem is in standard form. Introduce slack variables and set up the initial simplex.
Maximize P = 2x1 + 4x2 + x3

Subject to the constraints:
x1 + x2 + x3 <= 12
x1 ≥ 0
x2 ≥ 0
x3 ≥ 0
x1 + x2 <= 6
2x1 - x2 + 3x3 <= 6
Click here to see answer by Edwin McCravy(20055)

Question 251958: The following maximum problem is in standard form. Introduce slack variables and set up the initial simplex.
Maximize P = 2x^1 + 4x^2 + x^3

Subject to the constraints:
x^1 + x^2 + x^3 <= 12
x^1 ≥ 0
x^2 ≥ 0
x^3 ≥ 0
x^1 + x^2 <= 6
2x^1 - x^2 + 3x^3 <= 6

Click here to see answer by Edwin McCravy(20055)

Question 252299: For what values of x will the graph of 2x - 3y + 5 = 0 be above the x-axis?
Click here to see answer by Alan3354(69443)

Question 249804: I need help figuring out this equation and I also need to graph it. Can you please help? 2(y+3)<4x. Thank you.
Click here to see answer by Alan3354(69443)

Question 252340: Uhm, not sure if this is the right heading.. but I cannot figure this out for the life of me.
Graph f(x) = |x| for x <2
1 for 2 <= x < 4 (<= being less than or equal to)
1 - x for x >= 4 (>= being greater than or equal to)
Thank you.
(:
Click here to see answer by stanbon(75887)

Question 251031: graph: y is greater than or equal to 3x+2
use -2, -1, 0, 1 and 2
Click here to see answer by drk(1908)

Question 249739: Y=2^x;2^2.3
Click here to see answer by Alan3354(69443)

Question 252406: Solve the following system of equations for x:
2x + y = 10
3x = y

Click here to see answer by jim_thompson5910(35256)

Question 252405: how do I graph
and
how do I explain on a graph
Click here to see answer by drk(1908)

Question 250827: The directions: Write an equation in standard form for each line described.
The Problem: The line that passes through (-1,3) and is parallel to 3x-y=4
Click here to see answer by drk(1908)

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