Explain why the vertices of a solution region are important when using linear systems of inequalities for optimization problems ?
69,649 results
Algebra 1
Please, I am very confused in the Systems of Equations and Inequalities Unit Test that is only 27 questions. The test starts with: 1.Which graph represents the solution to the given system? y = –x + 2 and y = 3x – 1 I am in 8th grade but take 9th grade

Math
Which graph represents the solution to the given system? Y=x+2 Y=1/2x+8 (I cannot copy and paste the graphs here, but if anyone knows it, for 7th grade math on Connexus, the Systems Of Equations And Inequalities Unit Test, maybe you can help. My answer is

Algebra 2
The point (4, 1) is a solution to which of the following systems of inequalities? a. y < 3x  1 and y > x + 1 b. y > 3x  1 and y > x + 1 c. y > 3x  1 and y < x + 1 d. y < 3x  1 and y < x + 1 I'm very confused:( I don't know how to solve this. Please

Math
Solve the compound inequalities. Write the solutions in interval notation. Graph your solution on a number line. 1. 2(3x + 1)< 10 or 3(2x  4) ¡Ý 0 The or means union of these inequalities. 2. 5(p + 3) + 4 > p  1 or 4(p  1) + 2 > p + 8

Math
5. A system of linear inequalities is shown below: x + y ≥ 4 y < 2x – 3 Describe the steps to graph the solution set to the system of inequalities. Be specific. (10 points)

algebra
The points (1,2), (5,5),(1,6) are the vertices of a shaded triangle. a. Write a system of linear inequalities represented by the shaded triangle. b. Find the area of the triangle.

Grade 10 Math
Write an equation that forms a system of equations with x + y = 4, so that the system has: a) No solution b) Infinitely many solutions c) One solution I know how to figure out if two linear systems have a solution, but I don't understand how you could

math
An objective function and a system of linear inequalities representing constraints are given. Graph the system of inequalities representing the constraints. Find the value of the objective function at each corner of the graphed region. Use these values to

algebra
directions Write a system of inequalities for the shaded region described. The shaded region is a rectangle with vertices at (2,1)(2,4)(6,4)

math
These statements describe a solution region for a system of linear inequalities: The intersections of its three boundaries are at (0, 4), (6, 1), and (0, 2). The boundary that is farthest left is dashed and vertical, and it intercepts the xaxis at (0,

9th grade math (algebra 1)
Fine the solution set of each system of linear equations or inequalities below by graphing. Show all work under the graph of each system. 1. x + y = 3 2x  2y = 6

algebra 2(check)
1)Choose the correct description of the system of equations:2x+3y=10 and 4x+6y=20. I got consistent/dependent 2)The first equation of the system is multiplied by 2. By what number would you multiply the second equation to eliminate the x variable by

Algebra I DONT KNOW HOW TO DO 3 VARIABLES
Solving Linear Equations and Inequalities Solve by eliminating x (this is solving 3 linear equations) then substitute to the other two equation x + y + 5z =2 (1) 4x  3y + 5z =3 (2) 3x  2y + 5z=1 (3) my teacher gave me the answer she said the solution set

Algebra 1A
How many solution sets do systems of linear inequalities have? Do solutions to systems of linear inequalities need to satisfy both inequalities? If so what are some examples?

algebra1
graph the system of inequalities, and classify the figure created bu the solution region. y¡Ü4x+4 y¡Ü0.25x+4 y¡Ý4x1 y¡Ý0.25x1 a)the shaded region is a plane minus a rectangle b)there is no region common to all four inequalities c)the shaded

Math
Which graph represents the solution of the given system? 2x+5y=10 and 3x+5y=20 I cannot show the graphs, but if anyone did the Systems of Equations and Inequalities Unit Test, in 7th grade Connexus, you might know what i'm talking about. My answer is

algebra
Graph the solution set for the system of linear inequalities y=2x6

Algebra 1
How many solution sets do systems of linear inequalities have? Do solutions to systems of linear inequalities need to satisfy both inequalities? In what case might they not?

algebramath
When it comes to linear inequalities, these are explained to be similar to a linear equation, but the difference between the two is that the equal signs are replaced with an inequality symbol. It is also explained that when it comes to doing a linear

Math
Graph the solution set for the linear inequalities. y

Math
I need some help with solving this problem: Find the solution set for the system of linear inequalities. x – y ≥ 3 x + 2y ≥ 6

math
Determine the solution of the following systems of linear equations using elimination. 2x + 3y = 7 x – 2y – 4 = 0

math
The boundary of a linear inequality is 3x+2y= 12. The coordinates (2, 3) satisfies the inequality, so A. a dashed line will represent the boundary, but the solution region is unknown B. a solid line will represent the boundary, but the solution region is

Algebra 1 (Reiny)
Will you please explain the steps I must take in order to graph these linear inequalities? Graph each system of linear inequalities. Give two ordered pairs that are solutions and two that are not solutions. 1. y < 2x  1 y > 2 2. x < 3 y > x 2 3. y => 3x

geometry
Sketch the region enclosed by the lines x=0 x=6 y=2 and y=6. Identify the vertices of the region. Revolve the region around the yaxis. Identify the solid formed by the revolution calculate the volume of the solid. Leave the answer in terms of pi.

Pre calc
solve the system by the method of your choice.identify systems with no solution and systems with infinitely many solutions using set notation to express their solution sets. 4x3y=6 12x+9y=24

math
Given the system of inequalities below, find the vertices of the feasible region. Report your vertices starting with the one which has the smallest xvalue. If more than one vertex has the same, smallest xvalue, start with the one that has the smallest

Algebra 1 (Reiny)
I desperately need guidance. Not only do I not know how to graph these systems of linear inequalities, but I also do not understand the concept whatsoever. I have watched several videos regarding the subject, but I didn't retain anything from them. Please,

algebramath
Create a system of linear equations. Explain the steps for solving a system of linear inequalities. Make a system of linear inequalities problem. Please help me with this?

Math
scott owns a manufacturing company that produces two models of entertainment centers. the athens requires 4 feet of fancy molding and takes 4 hours to manufacture. The barcelona needs 15 feet of molding and 3 hours to manufacture. In a given week, there

Math
Graph the solution set for the of linear inequalities. x−y≤3 x+3y≤3 x≥−2

Biology
Describe the traits that distinguish animals from other organisms Explain the diversity of invertebrates, chordates, and primates using the theory of evolution Describe the structures and body systems of animals that allow them to maintain homeostasis

Algebra 2
Find the coordinates of the vertices of the figure formed by each system of inequalities. y>=3 x=x2 y

algebra
Identify the vertices of the solution region of the system of linear inequalities. (Order your answers from smallest to largest x, then from smallest to largest y.) x ≥ −2 x ≤ 3 y ≤ 5 y ≥ x (x, y) = (x, y) = (x, y) = (x, y) = Tried several times,

Algebra 1 Concept Explaination
Can anyone thoroughly explain how to graph systems of linear inequalities? I am struggling to grasp this concept, and I was already supposed to complete the schoolwork assigned to me regarding this topic. Thank you, in advance, to anyone who might be able

Mathematics
Given the objective function which is to minimize C=50x+30y and the vertices in the choices are the extreme points in the feasible region of the constraints, what is the optimum solution of the linear model?

Algebra
Solve the following linear inequality graphically. x+2y

Math
Graph the solution set for the of linear inequalities. x−y≤4 x+3y≤4 x≥−5

9th grade math
Which of the linear systems has exactly one solution A: x+y=9 xy=9 B: x+y=9 xy= 9 C: x+y=9 xy=9 D: xy= 9 x+y= 9

PreCalculus
Linear Programming/Systems of Inequalities The photocopying machine in a school office is made available to teachers between the hours of 3pm and 4pm. Mr. Grim and Mrs. Grump each have 10 minutes of copying to do each day. If theyh each enter the office at

Math
Hi! How to determine other linear systems that have the same solution as this system: 2x+5y=8 x3y=7 many thanks.

Geography
17. Eastern Europe's cultural diversity is best characterized by many different a. political systems present in the region b. languages spoken throughout the region c. styles of clothing worn in the different countries d. economic activities practiced

Civics (Ms. Sue)
Describe each of the four major U.S. regions. Focus on facts and details that make each region different or unique. Choose one cultural landmark for each U.S. region. You will have four landmarks. You may choose from those in the lesson. Describe why you

math
How do you solve systems of inequalities in two variables?

Math
Consider the region defined by the inequalities: 0≤x 0≤y 21/4≤y7/4x y+x≤7 4≤y3/7x Pick up those points which are the boundary points of the resulting convex region.

Objective functon
An objective function and a system of linear inequalities representing constraints are given. Graph the system of inequalities representing the constraints. Find the value of the objective function at each corner of the graphed region. Use these values to

Math
Explain why the vertices of a solution region are important when using linear systems of inequalities for optimization problems ?

math
How many solution sets do systems of linear inequalities have? Do solutions to systems of linear inequalities need to satisfy both inequalities? In what case might they not?

Systems of Inequalities8th Grade Algebra
Graph the equation. The graph will divide the coordinate plane into four reqions. Write a system of inequalities that describe each region. Labe the region with these inequalities. 1) y = x  3 y = 9  x I already graphed it, I only need help on writing

algebra1
graph the system of inequalities, and classify the figure created bu the solution region. y¡Ü4x+4 y¡Ü0.25x+4 y¡Ý4x1 y¡Ý0.25x1 a)the shaded region is a plane minus a rectangle b)there is no region common to all four inequalities c)the shaded

Math
Solve the following systems of linear inequalities x+2y is less than or equal to 6 y is greater than 4x

Math
I need to graph solution sets for linear inequalities. How do I do this? I've done these kind already send me an example of one and i'll explain its probably similar to the ones i did.

Algebra 1a
I am working with Systems of Linear Inequalities and need to find the point where the lines meet to label my graph. 9x3y=72 Thanks!

Quanitive Methods
A car rental company has $540,000 to purchase up to 25 new cars of two different models. One model costs $18,000 each and the other model costs $24,000 each. Write a system of linear inequalities to describe the situation. Let x represent the first model

Math
1. Marissa is a photographer. She sells framed photographs for $100 each and greeting cards for $5 each. The materials for each framed photograph cost $30, and the materials for each greeting card cost $2. Marissa can sell up to 8 framed photographs and 40

equation
For the following linear inequalities draw the feasibile region i: x _>1 ii: x+y _

linear equation
For the following linear inequalities draw the feasibile region i: x _>1 ii: x+y _

equation
For the following linear inequalities draw the feasibile region i: x _>1 ii: x+y _

math
Determine the solution of the following systems of linear equations using elimination. Briefly explain your work. 3x +2y = 19 2x – 3y = 6

Precalculuscheck answers
Describe the linear programming situation for this system of inequalities where you are asked to find the maximum value of f(x,y)=x+y. Answer: an optimal solution 2)Describe the linear programming situation for this system of inequalities: Answer: an

PreCalculus check answers
Describe the linear programming situation for this system of inequalities where you are asked to find the maximum value of f(x,y)=x+y. Answer: an optimal solution 2)Describe the linear programming situation for this system of inequalities: Answer: an

PreCalculuscheck answers
Describe the linear programming situation for this system of inequalities where you are asked to find the maximum value of f(x,y)=x+y. Answer: an optimal solution 2)Describe the linear programming situation for this system of inequalities: Answer: an

8th Grade Connexus Alg.
I know it's a lot but the answers to this would be greatly appreciated. Lesson 8: Systems of Equations and Inequalities Unit Test CE 2015 ALG I A 2520 MS Unit 7: Systems of Equations and Inequalities

Algebra
Solving Linear Equations  Elimination Write whether each of these systems of equations has a common solution or not. Explain y = x + 2 Y = 2x + 1 If you show me one and explain it, then I can probably do the rest...Thanks

math,algebra
Can someone help me with this problem I don't understand what to really do or even how to graph them I show what i have so far. Directions: Solve each of the following systems of linear inequalities graphically. Problem:

College AlgebraStudy Material
I am going to take the CLEP (College Level Examination Program) College Algebra examine. I am trying to decide on what books I should use to prepare for this examine. The following is what is going to be covered in this examine: 25% Algebraic operations

Algebra
Consider the two inequalities 2x  4 < y and y < 2/3x + 2. (b) Graph the region of the plane that satisifies either inequality, or both inequalities. (c) Graph the region of the plane that satisifies either inequality, but NOT both. What I don't get is

math
Pertaining to the previous question, if two of the vertices of a feasible region are at (1,3) and (6,1) how would the linear equation representing a line connecting them be found?

math/algebra
I need help solving the solution sets for linear inequalities: 1.3xy=1 y

Math
How would I find the solution set for a system of linear inequalities? For example, x3y

algebra
Can someone please explain system of linear inequalities by graphing this one problem x2y1.

Math
Graph the solution set for the linear inequalities. 2. x+yâ‰¤4 2xâˆ’yâ‰¥2 3. y

Algebra
Solving Linear Equations and Inequalities Solve by eliminating x (this is solving 3 linear equations) then substitute to the other two equation x + y + 5z =2 (1) 4x  3y + 5z =3 (2) 3x  2y + 5z=1 (3) my teacher gave me the answer she said the solution set

9th grade math
Which of the linear systems has exactly one solution A: x+y=9 xy=9 B: x+y=9 xy= 9 C: x+y=9 xy=9 D: xy= 9 x+y= 9

9th grade math
Which of the linear systems has exactly one solution A: x+y=9 xy=9 B: x+y=9 xy= 9 C: x+y=9 xy=9 D: xy= 9 x+y= 9

9th grade math
Which of the linear systems has exactly one solution A: x+y=9 xy=9 B: x+y=9 xy= 9 C: x+y=9 xy=9 D: xy= 9 x+y= 9

9th grade math
Which of the linear systems has exactly one solution A: x+y=9 xy=9 B: x+y=9 xy= 9 C: x+y=9 xy=9 D: xy= 9 x+y= 9

9th grade math
Which of the linear systems has exactly one solution A: x+y=9 xy=9 B: x+y=9 xy= 9 C: x+y=9 xy=9 D: xy= 9 x+y= 9

science
Hi. I know this is an opinion question, but can someone please explain the situation to me because I don't totally understand the question. Thanks. 3.Water distribution systems are natural monopolies, since it is impractical to have numerous, competing

Math: Linear Programming
Describe the linear programming situation for this system of inequalities. x≤1 , y ≥0 , 3x+y≤5 infeasible unbounded an optimal solution alternate optimal solutions Describe the linear programming situation for this system of inequalities where you

math
What is the value of t in the solution to this systems of linear equations? 2s – 3t = –1 3s – 4t = 0 a)–5 b)3 c)7/3 d)4

math
What is the value of t in the solution to this systems of linear equations? 2s – 3t = –1 3s – 4t = 0 a)–5 b)3 c)7/3 d)4

math
What is the value of t in the solution to this systems of linear equations? 2s – 3t = –1 3s – 4t = 0 a)–5 b)3 c)7/3 d)4

Algebra
Write a system of inequalities to express the exterior of the triangle ABD if A=(2,7), B=(4,0), and C=(1,3). Please help! gracias 7x/6 +14/3

Algebra
I never do this but I just don’t understand! Does anyone have the answers to the International Connections Academy Systems Of Equations And Inequalities Unit Test in algebra 1? The first question is Which graph represents the solution to the given

math
Determine the solution of the following systems of linear equations using elimination. 2x + 3y = 7 x – 2y – 4 = 0

Geography
Eastern Europe's cultural diversity is the best characterized by the many different: A.political systems present in the region B. languages spoken throughout the region C.styles os clothing worn in the different countries D.economic activities practiced

algebra 1
Solve the following systems of linear equations using any algebraic method.If possible,check your solution. 1)2x+5y=3 X3y=7 2) 3y=112x 3x=y11 3)8x6y=14 12x9y=18

Linear Algebra 2 question
Hello, I have another question from my linear algebra class. I'm asked to find the area of a triangle using determinants, but they don't give me the vertices, only the sides. Where A,B,C and D are the vertices, u and v are 2 out of the 3 sides. Now they

algebra 1
Material cost equation : 30x + 2y = 200 Profit equation : 100x + 5y = 400 B. Explain your inequalities and explain why x

Algebra 2
Solving systems of linear equations in three variables. Ok so i don't really totally get these problems. Can you help me solve this one? and explain everything please? 2x+3y=6+z x2y=1z 3x+y=1+3z

mathematics 201
The boundary of a linear inequality is 3x+2y=12. The coordinates (2, 3) satisfies the inequality, so A. a dashed line will represent the boundary, but the solution region is unknown B. a solid line will represent the boundary, but the solution region is

Algebra II
A furniture company displays bedroom sets which require 21 square meters of space and living room sets which require 42 square meters of space. The company,which has 546 square meters of available space, wants to display at least 6 bedroom sets and at

Math
I do not understand how to figure out my problem below and can not find an example in my book. Can someone give me a suggestion on how I can arrive at my answer. Problem: Write a system of inequalities whose solution set is the region shown. graph

Math
A television manufacturer makes console and widescreen televisions. The profit per unit is $125 for the console televisions and $200 for the widescreen televisions. Write the objective function that describes the total monthly profit. Write a system of

pre  CALCULUS
Solve the system by the method of your choice. Identify systems with no solution and systems with infinitely many solutions, using set notation to express their solution sets. x + y = 8 x  y = 14 A. {( 3, 11)} B. {( 3, 11)} C. {(x, y)  x + y = 8} D.

Human Service Administration
Can you explain why integrated information management systems are important in human service organizations. Can you give me an example? Thank you.

New Age Math
Consider the region defined by the inequalities: 0≤x 0≤y 21/4≤y7/4x y+x≤7 4≤y3/7x Pick up those points which are the boundary points of the resulting convex region.

math
will anyone explain to me how to solve two step inequalities? it would be most appreciated. they are called two step inequalities. ill give you an example 40 a if and only xa.These rules are also valid if < is replaced by is replaced by >. area of a

algebra 1 help
I am having a hard time understanding these problems would some one please explain what i need to do the teacher is asking me for points on the graph i am totally confused 1)Graph the inequality. y > –5 2)Solve the following system of linear inequalities