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)

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Related Questions

Help me with this plzzzzzzzzz

Answers

Answer:Hi

Step-by-step explanation:

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

20% percent tip on 8 dollar

Answers

Answer:

9.60 dollars tip is $1.60

Step-by-step explanation:

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

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

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:

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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

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

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

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

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:

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

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°

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

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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:

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

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)

The slope of line
g
is −12
-
1
2
.

−12
-
1
2
·
·
=
=
−1

Answers

Answer:

g

is −12

-

1

2

.

−12

-

1

2

·

·

=

=

−1

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

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:

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]

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.

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

Answers

Answer:

y/x^2=-2x+3

Step-by-step explanation:

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.

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:

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

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

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