The constraints of a problem are listed below. What are the vertices of the feasible region?
x+3y<=6
4x+6y>=9
x>=0
y>=0

Answers

Answer 1

The vertices of the feasible region of the constraints is (0,2.5)

How to determine the vertices?

The constraints are given as:

x + 3y ≤ 6

4x + 6y ≥ 9

x ≥ 0,  y ≥ 0

Express the inequalities as equations

x + 3y = 6

4x + 6y = 9

Make x the subject in x + 3y = 6

x = 6 - 3y

Substitute x = 6 - 3y in 4x + 6y = 9

4(6 - 3y) + 6y = 9

Expand

24 - 12y + 6y = 9

Evaluate the like terms

-6y = -15

Divide by 6

y = 2.5

Substitute y = 2.5 in x = 6 - 3y

x = 6 - 3 * 2.5

Evaluate

x = -1.5

So, we have:

(x,y) = (-1.5, 2.5)

Recall that: x ≥ 0,  y ≥ 0

This means that the feasible region must have positive coordinates or zero

So, we set x = 0

(x,y) = (0, 2.5)

Hence, the vertices of the feasible region of the constraints is (0,2.5)

Read more about feasible region at:

https://brainly.com/question/14381991

#SPJ1


Related Questions

A rule for creating a pattern is given below.
Rule: Subtract 7 from 2 to get y.
Which ordered pair, (x, y), works for the rule?

Answers

Answer:

(any real number, 5)

Step-by-step explanation:

Well given that y=7-2 and that y=5, we do not know the value of x, therefore x could be any real number with y being 5. I'm pretty sure that answered your question. So, a example of an ordered pair that would fit this rule would be say (5,5) or (7,5)

20% percent tip on 8 dollar

Answers

Answer:

9.60 dollars tip is $1.60

Step-by-step explanation:

The larger I grow, the less you can see!
What am I??

Answers

Answer: The darkness is the correct answer

Step-by-step explanation:

As you know that if the darkness becomes bigger you are unable to see it. Hope you like the answer do let me know in the about your thoughts.

Can someone please explain this problem to me? i would really really REALLY appreciate it omg

Answers

Answer:

f(0) = 3

f(-2) = -15

Step-by-step explanation:

You just have to plug in the value in f(b) into the b of the equation.

So for f(0) --> 2(0)^3 - |0-4| + 7

2(0) - |-4| + 7

0 - 4 + 7 = 3

------------

for f(-2)

2(-2)^3 -|-2-4| + 7

2(-8) - 6 + 7

-16 -6 + 7 = -15

Using Converting The Percentages First Into Fractions, Determine The Following

a) 10% of 120
b) 25% of 16
c) 30% of 20
d) 40% of 25
e) 75% of 48
f) 60% of 140
g) 90% of 50
h) 12.5 of 32​

Answers

Answer:

a)12

b)4

c)6

d)10

e)36

f)84

g)45

h)4

Solve the following system of equations by elimination​

Answers

Answer:

y = -6

x = 1

Step-by-step explanation:

-x + 2y = -13

-x - 2y = 11

Sum the equations:

-x -x = -2x

+2y - 2y = 0

-13 + 11 = -2

then

-2x = -2

x = -2/-2

x = 1

from the first eq.

-x + 2y = -13

-1 + 2y = -13

2y = -13 + 1

2y = -12

y = -12/2

y = -6

check:

from the second eq.

-x -2y = 11

-1 -(2*-6) = 11

-1 -(-12) = 11

-1 + 12 = 11

Solve for equation for x: 5^2 – 10x – 6 = 0

Answers

Answer: x= 1.9

Step-by-step explanation:

help me plsssssssssssssssssssssssssss

Answers

Answer:

This answer would be c

Step-by-step explanation:

I need help find the value of x

Answers

From the picture, we see that there are two congruent sides. Therefore, following the Isosceles Triangle Theorem, if two sides in a triangle are congruent, then the angles opposite those sides are congruent. So, we know that the angles opposite of the congruent sides have an angle measure of x°. We are given the measure of the angle at the top vertex of 100°. Following the Triangle Sum Theorem, the three interior angles in a triangle must sum up to 180°. Therefore, we can create an Algebraic equation to solve for the two base angles that measure x°.

x+100+x=180

x=the base angle measures since they are congruent.

100+x+x=180

Community Property of Addition

100+2x=180.

Added x+x as like terms to = 2x.

100-100+2x=180-100

Subtraction of 100 from both sides to cancel it out and move it.

2x=80

Subtraction operation

2x/2=80/2

Divided by 2 to cancel it out on both sides and move it.

x=40°.

Therefore, the two base angles (angles opposite of the two congruent sides) are 40°.

2(40)+100=80+100=180.

So x=40

20 charecters lol pls solve

Answers

Answer:

-3x+12

Since we are adding like terms you add everything that has an "x" after it [(3.4x) + (-5.4x) + (-x)] it all that adds up to -3x and the you add the 12 to it. It could also be written 12-3x

identify a possible explicit rule for the nth term of the sequence 9, 17, 25, 33, 41​

Answers

Answer:

The explicit formula for the nth term of the sequence is [tex]a_n=9+8(n-1)[/tex]

Step-by-step explanation:

Recall:

The explicit formula for a sequence is [tex]a_n=a_1+(n-1)d[/tex] where [tex]a_n[/tex] is the [tex]n[/tex]th term, [tex]a_1[/tex] is the first term, and [tex]d[/tex] is the common difference

Given:

First term --> [tex]a_1=9[/tex]

Common Difference --> [tex]d=8[/tex]

Substitute:

[tex]a_n=9+(n-1)(8)[/tex]

[tex]a_n=9+8(n-1)[/tex]

Plz help me i will give u 50pts^_^ and brainliest<3

Answers

Answer:

y/x^2=-2x+3

Step-by-step explanation:

OMG HELP RN I GIVE BRAINLIST

Which of the following correctly describes the solutions to the inequality?



A.
There are 5 solutions. The solutions are the numbers between 4 and 8.
B.
There are an infinite number of solutions. The solutions are all numbers less than 3.
C.
There are 6 solutions. The solutions are the numbers between -2 and 3.
D.
There are an infinite number of solutions. The solutions are all numbers greater than 3.

Answers

Answer: B

The number 3 isn't included because the point isn't included.

The arrow points to the left, representing any number less than 3 to be a solution.

Inequality: x < 3

Find the whole number equal to the fraction below. Enter your answer in the
space provided

Answers

Answer:

7

Step-by-step explanation:

42/6= 7

---

its a sort of memorization thing youll know when you do enough of them.

if not, you can divide by smaller parts.

3*2=6 so you can divide 42 by 2, and then 3 if that is easier

42/2

=21

then divide by 3 =7

Answer: 7

Step-by-step explanation: If you simplified 42/6 you would get 7 and 42/6 is basically 42 ÷ 6 which equals 7.

个,
4800
3. Alexander is taking 15 credit-hours this semester at college. The
relationship between tuition and credit hours is shown by the graph below.
What is the constant of proportionality?
A. 15
B. 400
C. 800
D. 6000
4400
4000
3600
3200
2800
2400
2000
Tuition
1600
1200
800
400
2
3
S
4
Credit Hours
7
&
9

Answers

Answer:

4800

3. Alexander is taking 15 credit-hours this semester at college. The

relationship between tuition and credit hours is shown by the graph below.

What is the constant of proportionality?

A. 15

B. 400

C. 800

D. 6000

4400

4000

3600

3200

2800

2400

2000

Tuition

1600

1200

800

400

2

3

S

4

Credit Hours

7

&

9

Step-by-step explanation:

How to perform aerial math for following:

5.1 x 3.5 X 0.5+9.4

Answers

I could be wrong, but I would say it's 18.325

the distance between -2,4 and 2,6​

Answers

The distance between -2,4 is 6

The distance between 2,6 is 4

You can use a number line as a reference!

Hope this helps!
Brainliest and a like is much appreciated!

Find the volume of a cone with a diameter of 12.9 cm and a height of 16.6 cm.

Answers

Answer:

112cm^3

Step-by-step explanation:

Formula for volume of a cone is:

[tex] \frac{1}{3} \times \pi \times {r}^{2} \times h[/tex]

r = radius and h = height

To find the radius you divide the diameter by 2:

12.9 ÷ 2 = 6.45

Now substitute values into the formula:

[tex] \frac{1}{3} \times \pi \times {6.45}^{2} \times 16.6[/tex]

Which equals 112cm^3

what is 12 3/4 divided by 3

Answers

Answer:

4.25 as decimal and 4 1/4 as a fraction

Step-by-step explanation:

Isaac bought 7 chicken wings for $12.60. How much does each wing cost?

Answers

Answer:

Each chicken wing costs $1.80.

Explanation:

To find the cost for each wings, you need to split the money by 7 which is: 12.60/ 7

this gives us:

1.80

Please I need help with this

Answers

180° in a triangle.
One angle is given 40°
Another angle can be found by 180-102=78°
180-78-40=62°
62+x=180
x=118°

Help me with this plzzzzzzzzz

Answers

Answer:Hi

Step-by-step explanation:

PLS HELP ME
what is mZA?

Answers

Answer:

35+43 = 78 so then E is 78 for both sides. then do 78+18 which is 96. so A is 96. I think

mayam bought potato chips to school she share 1/4 of her chips with friends and 1/8 of her chips with her teacher how many has she shared in all?

Answers

[tex]\huge\underline\mathtt\colorbox{cyan}{3/8}[/tex]

[tex]\huge\mathsf\colorbox{white}{}[/tex]

Step-by-step explanation :

Total shared part:

1/4 + 1/8

Taking LCM and adding:

2/8+1/8

Adding gives:

3/8

2,548 rounded to the nearest hundred

Answers

Answer:

the answer is  2,500

Step-by-step explanation:

any number higher than 5 you round up but any number lower than 5 you round down.

4 is lower than 5 so you round it down and the 5 stays the same, and replace it with 0's.

Which relation is a function?

Answers

Answer:

D is a function.

Step-by-step explanation:

cause the line is related to both x and y

The relation that represents a function is the relation (d)

Checking the relations that are functions

From the question, we have the following parameters that can be used in our computation:

The relations (1) to (4) represent the given parameter

Next, we test the options

Relation (1)

This relation is not a function

This is because it fails the vertical line test i.e. some output values all point to the same input value,

Relation (2)

This relation is not a function

This is because it fails the vertical line test i.e. some output values all point to the same input value,

Relation (3)

This relation is not a function

This is because it fails the vertical line test i.e. some output values all point to the same input value,

Relation (4)

This relation is a function

This is because the inputs all point to different output values

Hence, the relation that is a function is graph (d)

Read more about functions at

brainly.com/question/22340031

#SPJ6

The slope of line
g
is −12
-
1
2
.

−12
-
1
2
·
·
=
=
−1

Answers

Answer:

g

is −12

-

1

2

.

−12

-

1

2

·

·

=

=

−1

A music streaming service conducted a survey asking subscribers where they most often listen to music. Of the 2,500 responses, 1,468 users stated that they most often listen to music while in vehicles.


Use this information to complete the statement. Round all answers to the nearest hundredth.


The approximate sample proportion is ___, which means that ___% of the subscribers surveyed most often listen to music somewhere other than in a vehicle.

Answers

Answer:

0.59 and 41%

Step-by-step explanation:

Plato/Edmentum

The approximate sample proportion is o.59, which means that 41% of the subscribers surveyed most often listen to music somewhere other than in a vehicle.

For this situation, the number of positive responses is 1486 out of a total sample size of 2500.

Substitute these values into the formula for sample proportion, where x is the number of positive responses and n is the sample size.

[tex]\hat p = \frac{x}{n}[/tex]

= [tex]\frac{1468}{2500}[/tex]

= 0.59

So, the approximate sample proportion is 0.59.

Since 0.59 represents the proportion who responded favorably, 1-0.59=0.41, represents the proportion which responded unfavorably.

This value of the same as 41%.

So, 41% of the subscribers surveyed most often listen to music somewhere other than in a vehicle.

Therefore, the approximate sample proportion is o.59, which means that 41% of the subscribers surveyed most often listen to music somewhere other than in a vehicle.

Learn more about the sample proportion here:

https://brainly.com/question/33593792.

#SPJ4

Can someone help me please

Answers

Answer:

Step-by-step explanation:

(h, k) = (4, 8)

(y - k) = a(x - h)²

(y - 8) = a(x - 4)²

     y  = a(x - 4)² + 8

plug in one of the x intercepts (or any other known point on the curve)

    0 = a(2 - 4)² + 8

    0 = a(4) + 8

     a = -2

     y  = -2(x - 4)² + 8 fourth option.

Answer:

y= -(x-4)^2+8

Step-by-step explanation:

negative graph since the turning point is +ve 4..thus the equation will be (x-4)^2 the y axis is 8 units up therefore the above equation is the answer

T is the midpoint of RS, T has coordinates (6, 4), and S has coordinates (3,-2). What are the
coordinates of R?

Answers

Answer:

help

Step-by-step explanation:

Other Questions
Reread the following quotation from paragraph 75: "oh god! to hear the insect on the leaf pronouncing on the too much life among his hungry brothers in the dust!" which of the following best states what this quote reveals about the ghost of christmas present's and scrooge's differing points of view?. Listen to the audio and then answer the following question. Feel free to listen to the audio as many times as necessary before answering the question. What are the family plans for sunday evening?. - What is the use of border? Differentiate between changing color of cells and color of data class 6 4. what influence may rising house prices have on inflation? Find the domain of the function A grocery store introduced two new flavors of scones: cranberry and orange.On the first day, 28 cranberry scones and 16 orange scones were sold.Each day after that, 14 cranberry scones and 11 orange scones were sold.Drag the tiles to complete the table. Each tile may be used once, more than once, or not at all. Solve this math problem. Correct answer gets brainliest. What was the purpose of the document Declaration of Independence. What kind of words are most useful for creating an experience for readers?confusing wordsprecise wordsvague wordsgeneric words A measure of the average value of a random variable is called. HOW does the section "Shays' Rebellion and the Constitution" develop a CENTRAL idea of the article?Aby explaining how the Revolution affected debt and taxes on farmers' crops and farmsBby explaining how Alexander Hamilton organized a meeting in Philadelphia in 1787Cby describing what made the founders realize they needed to create a stronger governmentDby describing why farmers felt they needed to revolt against the Massachusetts government . What event does the Market Revolution describe?the establishment of New Orleans as a slave markettransformation of the North into an industrial economythe growing demand for cotton after the Revolutionary Wartransformation of the Deep South into an industrial economy who's tsukishima64? Where can you find a book to read for free? Check all that apply.through an online bookstoreat a nearby bookstoreat a libraryin a public domain databasethrough a friend or teacher Amelia is 5 feet tall and casts a 4-foot shadow. A tree next to her casts a 12-foot shadow. The two triangles formed are similar because the angle to the sun is the same. Choose two equations that can be used to find the height, h, of the tree. How Did Experts Influence Roosevelts Progresive Policies? we are not going on vacation__ august Which of the following are functions of an animal's movement structures like wings, legs, or fins? Select the two correctanswers. (1 point)identifying foodkeeping out bacteria and virusesmigrating to mating spotso escaping from predatorsprotection from elements On kyle thomason's $400,000. 00 loan, the lender charges a 2-point service charge. In this situation, how much will kyle have to pay for this service charge at closing, and how would such a charge appear on the statement?. Which of these is found in the energy levels of an atom?