The constraints of a problem are listed below. What are the vertices of the feasible region?
X+y<_5
y<_3
X>_0
y>_0

The Constraints Of A Problem Are Listed Below. What Are The Vertices Of The Feasible Region?X+y&lt;_5y&lt;_3X&gt;_0y&gt;_0

Answers

Answer 1

Answer:

(0, 0), (0, 3), (2, 3), and (5, 0)

Step-by-step explanation:

The constraints of the problem are:

x + y ≤ 5

y ≤ 3

x ≥ 0

y ≥ 0

Then:

Using the second and fourth inequalities we can write:

0 ≤ y ≤ 3

Knowing that the minimum value of y is 0, then if we replace that in the first equation we get:

x + 0 ≤ 5

x ≤ 5

While for the maximum value of y, y = 3, this inequality becomes:

x + 3  ≤ 5

x ≤ 2

Now, the vertexes are the points where both variables take one of their extremes.

Then, we have a vertex at (0, 0) because we have:

x ≥ 0

y ≥ 0

So this is the vertex when both x and y take the minimum value.

When y takes the maximum value y = 3, and x takes the minimum value x = 0, we have the vertex:

(0, 3)

When y takes the maximum value, y = 3, and x takes the maximum value, x = 2, we have the vertex:

(2, 3)

When y takes the minimum value, y = 0, and x takes the maximum value, x = 5, we have the vertex:

(5, 0)

Then the four vertexes are:

(0, 0), (0, 3), (2, 3), and (5, 0)


Related Questions

HELP HELP HELP WHAT IS THE ANSWER TO THIS PLEASE HELP ME YOU'LL GET 50+ BRAINLIEST POINTS AND BRAINLEIST HELP PLEASE

Answers

Answer:

1055.58 cube inches

Step-by-step explanation:

radius time height

let u=(5 -12) and c=-3 what is cu?
a)39
b)-39
c)21
d)51

Answers

Parentheses first
5-12. = -7
-7 *-3= 21

Answer:

C) 21

Step-by-step explanation:

5-12=-7

cu=(-3)(-7)=21

The height of the pyramid is equal to 1/2 of the length of a side on the base. Which formla represents the volume of the pyramid?

Answers

The volume of the pyramid is a third of the volume of the prism which has the same base area and height as the pyramid. That is,
V = b²h / 3
Substituting the variables given,
V = (s²)(0.5s) / 3
Simplifying,
V = s³/6

Triangle B is the same shape as Triangle A with a scale factor of ſ. That means each side length is the side length of Triangle A. The perimeter of Triangle B is 30 cm.

Use the diagrams to help you write an equation to find the side lengths of Triangle A.

Answers

Answer:

that description is already wrong. you must have mistyped something here. please read your own problem description again and then try again. if each side length of triangle B is the side length of triangle A, then they do not only share the same shape (= angles), but they are identical, and the scale factor is simply 1.

I think what you mean is that every side length of B correlates to the side lengths of A by the factor f.

Step-by-step explanation:

what that means :

side a of A = f × side a of B

side b of A = f x side b of B

side c of A = f x side c of B

perimeter of A = f x perimeter of B

for any more details there has to be more information.

I NEED HELP ASAP!!!!!!!!!!!!!!

Answers

Answer:

Step-by-step explanation:

You are given the linear regression equation as y = -.36x + 12.6, where y is the wind chill and x is the wind speed. We are being asked for the wind chill when the wind speed is 22; therefore, we are being asked to plug in 22 for x and solve for y:

y = -.36(22) + 12.6 and

y = -7.92 + 12.6 so

y = 4.68F

A polynomial function has a root of -3 with multiplicity 2, a root of 0 with multiplicity 1, a root of 1 with multiplicity 1, and a root of 3 with multiplicity 2. If the function has a positive leading coefficient and is of even degree, which could be the graph of the function?​

Answers

Answer:

see uploaded image

Step-by-step explanation:   5 30  10 04

x(x+3)²(x-1)(x-3)²

I attached my guess, since I don't see any graphs.  

NOTE the x axis scale change on my submission.

Only option A graph matches the features of this polynomial. Therefore, option A is the correct answer.

What is a polynomial function?

A polynomial is an equation with many terms whose leading term is the highest exponent known as a degree. The degree or exponent tells how many roots exist. These roots are the x-intercepts.

This polynomial has roots -3, 0, 1, and 3. This means the graph must touch or cross through the x-axis at these x-values. What determines if it crosses the x-axis or if the simple touch it and bounces back? The even or odd multiplicity - how many times the root occurs.

In this polynomial:

Root -3 has an even multiplicity of 2 so it only touches and does not cross through.

Root 0 has an odd multiplicity of 1 so crosses through.

Root 1 has an odd multiplicity of 1 so crosses through.

Root 3 has an even multiplicity of 3 so it only touches and does not cross through.

Knowing this, only the first and second graphs are possible answers.

Lastly, what determines the facing of the graph (up or down) is the leading coefficient. If positive, the graph ends point up. If negative, the graph ends and points down. All even degree graphs will have this shape.

Only option A graph matches the features of this polynomial. Therefore, option A is the correct answer.

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Write a quadratic function h whose zeros are 1 and 4

Answers

Answer:

x² - 5x + 4

Step-by-step explanation:

work backwards from knowing zeros to writing factors, then use foil method

(x - 1)(x - 4)

x² - 4x - 1x + 4

x² - 5x + 4

HELP! Urgent! PLZ Needed Now!

Answers

Answer / Explaination:

An equation that represents this problem is b = 52h.

A linear model that represents this equation would look as such (see below)

To predict how many boxes would be produced after an 8 hour shift, you can look at the graph (see additional attatchement) or substitute 8 in for h in the equation.

b = 52(8)

b = 416

A researcher wants to test if the mean annual salary of all lawyers in a city is different from $110,000. A random sample of 50 lawyers selected from the city reveals a mean annual salary of $ 112000, Assume that σ-$16 100, and that the test is to be made at the 2% significance level What are the critical values of z?
2.33 and 2.33
2.05 and 2.05
-1.645 and 1.645
-1.28 and 1.28
What is the value of the test statistic, z, rounded to three decimal places?
What is the p-value for this hypothesis test, rounded to four decimal places?
Should you reject or fail to reject the null hypothesis in this test?

Answers

Solution :

This is the two tailed test.

The null hypothesis and the alternate hypothesis is as :

Null hypothesis is [tex]$H_0:\mu=110000$[/tex]

Alternate hypothesis is [tex]$H_0:\mu \neq110000$[/tex]

[tex]$\overline x = 112000, \ \mu = 110000, \sigma = 16100, n = 50, \alpha = 0.02$[/tex]

Therefore, the critical value of z is :

[tex]$z_{\alpha} = -2.33 \text{ and}\ 2.33$[/tex]

Now the test statics is :

[tex]$z=\frac{\frac{(\overline x - \mu)}{\sigma}}{\sqrt n}$[/tex]

[tex]$z=\frac{\frac{(112000-110000)}{16100}}{\sqrt {50}}$[/tex]

[tex]$z=0.87$[/tex]

The test statics is 0.878

We see that it is a right tailed test.

[tex]$P(z > 0.878)=1-P(z<0.878) = 1 - 0.81 = 0.19$[/tex]

[tex]$P- \text{value}= \ 2 \times 0.19$[/tex]

              = 0.3800

Thus , P-value > α

So we fail to reject the null hypothesis.

A florist arranged some orchid in bouquets of 20 and some roses in bouquets of 10 . She sells each bouquet of orchid for $25 and each rose bouquet for $30 . She earns $390 . If she sell four times as many orchid bouquets as rose bouquets. How many flowers does she sell all together?

Answers

Answer:

The florist sold 270 flowers.

Step-by-step explanation:

Since a florist arranged some orchid in bouquets of 20 and some roses in bouquets of 10, and she sells each bouquet of orchid for $ 25 and each rose bouquet for $ 30, and she earns $ 390, if she sell four times as many orchid bouquets as rose bouquets, to determine how many flowers does she sell all together, the following calculation must be performed:

4 x 25 + 1 x 30 = 130

8 x 25 + 2 x 30 = 260

12 x 25 + 3 x 30 = 390

12 x 20 + 3 x 10 = X

240 + 30 = X

270 = X

Therefore, the florist sold 270 flowers.

A certain television is advertised as a 90-inch TV (the diagonal length). If the
height of the TV is 63 inches, how wide is the TV? Round to the nearest tenth
of an inch.

Answers

Answer: 64.3

Step-by-step explanation:

I really need help please!!

Answers

Answer: B


To find the frequency of students favorite sport you will use the equation

Number of students for each sport/total students

Basketball: 4/25 = .16
Football: 7/25 = .28
Lacrosse: 3/25 = .12
Soccer: 8/25 = .32
Volleyball: 3/25 = .12

How many proper subsets does the set T = {i, c, j, e} have?

Answers

Number of proper subsets = 2^number of elements- 1
= 2^n - 1
No of elements = 4
2^4-1 = 16-1 = 15

The box above is 15 centimeters long,
4 centimeters wide, and 3 centimeters tall. What is the length of the diagonal s of the bottom side?
O:44 cm
O:14.5 cm
O :15.5 cm
O :19 cm

Answers

Answer:

It should be b(14.5), or c

Step-by-step explanation:if you think about it its like the same length for the top of the box

Please look at the image

Answers

Answer: ok i did :)

Step-by-step explanation: how are you?

7. An electrician charges according to the equation C = 75n + 60, where C represents the total charge, in dollars, for a house call, and n represents the time, in hours that the job takes.
Identify the slope and the C-intercept and explain what each one means.
How much money would a 2 h house call cost?
How many hours did the job take if the total charge was $435?

Answers

Answer:

435555

Step-by-step explanation:

331

The area of a triangle is 24 square inches. What is the height of the triangle if the base length is 4 inches? (5 points) 6 inches 8 inches 12 inches 20 inches

Answers

9514 1404 393

Answer:

  12 inches

Step-by-step explanation:

The area is given by the formula ...

  A = 1/2bh

Fill in the given values and solve for the height.

  24 in² = 1/2(4 in)h

  h = (24 in²)/(2 in) = 12 in

The height of the triangle is 12 inches.

Answer:

12 inches

Step-by-step explanation:

Area = [tex]\frac{1}{2}bh[/tex]

24 = [tex]\frac{1}{2} * 4 * h[/tex]

24 = 2h

h = 12 inches

Mr. Rawlins graded 11 students' tests with the following results. 88, 76, 81, 92, 95, 65, 77, 86, 90, 88, 83 A box and whisker plot of these scores would show that 25% of the students earned a score greater than or equal to what number?​

Answers

Answer:

90

Step-by-step explanation:

min is 65

median is 86

quartile 1 is 77

quartile 3 is 90

max is 95

highest 25% of data resides between quartile 3 and max

If your car used 19.2 gallons of gas to go 1293.6 miles, how many miles per gallon (mpg) did the car get?

Answers

G=m/x
G-gallons
m-miles
x-miles per gallon
19.2= 1293.6/x
x=1293.6/19.2
x= 67.375mpg
Therefore, the vehicle traveled 67.375 miles to 1 gallon

What are the answer

Answers

Answer:

1)556.11 cm²

2)164.05 cm²

3)117.70 cm²

Step-by-step explanation:

1) We have a cylinder and a cone on top of it.

Formula for total surface area of cylinder is;

T.S.A = 2πrh + 2πr²

However, the top is not available for calculation here. Thus, we will use;

TSA = 2πrh + πr²

Thus;

TSA = 2π(5 × 12) + π(5)²

TSA = 455.53 cm²

The top is a cone but it's bottom is not included and so we will use lateral surface area of cone = πrL

L is the slanting height and can be calculated from pythagoras theorem ;

L = √(5² + 4²)

L = √41

Thus;

LSA = π × 5 × √41 = 100.58 cm²

Overall surface area = 455.53 + 100.58. Overall surface area = 556.11 cm²

2) for the box down;

TSA = 2lw + 2lh + 2hw

Since the top face is not used, then

TSA = lw + 2lh + 2hw

TSA = (5 × 5) + 2(5 × 5) + 2(5 × 5)

TSA = 125 cm²

For the prism on top, since the bottom is not included, we will use lateral surface are;. LSA = ½Pl

Where P is perimeter of base and L is slant height.

P = 5 × 4 = 20 cm

Radius is 5/2 = 2.5 and so using pythagoras theorem;

L = √(2.5² + 3²)

L = 3.905 cm

Thus;

LSA = ½ × 20 × 3.905 = 39.05 cm²

Overall surface area = 39.05 + 125 = 164.05 cm²

C) for the box down;

TSA = 2lw + 2lh + 2hw

Since the top face is not used, then

TSA = lw + 2lh + 2hw

TSA = (4 × 4) + 2(4 × 4) + 2(4 × 4)

TSA = 80 cm²

For the half cylinder on top;

Surface area ;

T.S.A = 2πrh + 2πr²

Since half cylinder;

TSA = πrh + πr²

TSA = π((2 × 4) + 2²))

TSA = 37.7 cm²

Overall total surface area = 80 + 37.7 ( 117.70 cm²

Khalil recorded the grade-level and instrument of everyone in the middle school
School of Rock below.
Seventh Grade Students
Eighth Grade Students
Instrument # of Students
Instrument # of Students
12
Guitar
11
Bass
Guitar
Bass
Drums
Keyboard
14
13
5
4
4
Drums
Keyboard
14
Based on these results, express the probability that a student chosen at random will
play the drums as a decimal to the nearest hundredth.

Answers

Answer:

0.12 !!!!

Step-by-step explanation:

JUST TRUSE MEEEE!!!!

A carpenter purchased 50 ft of redwood and 80 ft of pine for a total cost of $277. A second purchase, at the same prices, included 90 ft of redwood and 60 ft of pine for a total cost of $381. Find the cost per foot of redwood and of pine.

Answers

Answer:

Let R = cost per foot of redwood, and

let P = cost per foot of pine.

The 1st sentence gives us 60 ft * R + 90 ft * P = $303, and

the 2nd sentence gives us 90 ft * R + 60 ft * P = $357.

So this is two equations and two unknowns, so we should be able to solve these.

Solve the first equation for P: 60 ft * R + 90 ft * P = $303

Subtract 60 ft * R from both sides of the equation: 90 ft * P = $303 - 60 ft * R

Now divide both sides of the equation by 90 ft: P = ($303 - 60 ft * R) / 90 ft = $101 / 30 ft - 2/3 * R

Next, substitute P into the second equation: 90 ft * R + 60 ft * P = $357

so we then have 90 ft * R + 60 ft * [$101 / 30 ft - 2/3 * R] = $357.

Now solve for R (remember, parentheses, exponents, multiplication and division, addition and subtraction):

90 ft * R + [$202 - 40 ft * R] = 50 ft * R + $202 = $357, or 50 ft * R = $155; so R = $155 / 50 ft = $3.10 / ft.

Now we can substitute this value for R into the first equation and solve for P: 60 ft * R + 90 ft * P = $303

so we then have 60 ft * $3.10 / ft + 90 ft * P = $303, or $186 + 90 ft * P = $303.

Subtracting $186 from both sides of the equation, and then dividing by 90 ft, we have P = $1.30 / ft

So P = $1.30/ft, and R = $3.10/ft.

To check this answer, plug both into the second equation:

90 ft * R + 60 ft * P = $357

90 ft * $3.10/ft + 60 ft * $1.30/ft = $279 + $78 = $357

Select Parameter or Statistic to classify each statement.



Information Parameter Statistic
85% of the golf teams surveyed have teammates that can break 80.
Parameter – 85% of the golf teams surveyed have teammates that can break 80.
Statistic – 85% of the golf teams surveyed have teammates that can break 80.
According to the survey, each member of the soccer team has an average of 2 jerseys.
Parameter – According to the survey, each member of the soccer team has an average of 2 jerseys.
Statistic – According to the survey, each member of the soccer team has an average of 2 jerseys.
Of the 28 swim teams surveyed across America, 5 of them practice 10 hours a week.
Parameter – Of the 28 swim teams surveyed across America, 5 of them practice 10 hours a week.
Statistic – Of the 28 swim teams surveyed across America, 5 of them practice 10 hours a week.
Basketball teams in the district have won at least 3 games for every 5 they have played.
Parameter – Basketball teams in the district have won at least 3 games for every 5 they have played.
Statistic – Basketball teams in the district have won at least 3 games for every 5 they have played.

Answers

Answer:

1) Statistic

2) Statistic

3) Statistic

4) Parameter

Step-by-step explanation:

Took test and got it right

Parameter or Statistic to classify each statement:

1. Statistic

2.Statistic

3. Statistic

4. Parameter

What is parameter and statistic?

A parameter is a number describing a whole population (e.g., population mean), while a statistic is a number describing a sample (e.g., sample mean). The goal of quantitative research is to understand characteristics of populations by finding parameters.

1. 85% of the golf teams surveyed have teammates that can break 80.

This only refers to the surveyed people, so this only refers statistic statement.

2. According to the survey, each member of the soccer team has an average of 2 jerseys.

As in this case, the soccer team is considered as sample  then this is a statistic.

3. Of the 28 swim teams surveyed across America, 5 of them practice 10 hours a week.

Here the information is about the sample (only 28 swim teams). So here this is statistic.

4. Basketball teams in the district have won at least 3 games for every 5 they have played

Here the information is about the number of games win, which was taken from whole population in this case this is parameter.

Learn more about this concept here:

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Find h(3) using the graph

Answers

Answer:

h(3) = 2

Step-by-step explanation:

h(3) -- "h of 3" -- is asking for the value of the function at x = 3.  Go to 3 on the x-axis, then go up to the graph.  Look at the y-coordinate of the point (see the attached image).

Please help me fast i need help

Answers

Answer:

minimum- 19

first quartile - 26.5

median - 29

third quartile - 31

maximum - 40

Step-by-step explanation:

A crate is being lifted into a truck. If it is moved with a 2470 N force and 3650 J of work is done, then how far is the crate being lifted?

Answers

Answer:

3650

Step-by-step explanation:

Yes im doingbthis foe pointa

Logan is birdwatching at the coast. He records each bird he sees. herons 2 egrets 7 vultures 2 gulls 3 Considering this data, how many of the next 20 birds Logan sees would you expect to be egrets?

Answers

Answer: 10

Step-by-step explanation: First, write the experimental probability as a fraction in simplest form.

P(egret)

=

egrets

total

=

7

2+7+2+3

=

7

14

=

1

2

The experimental probability is

1

2

.

We can predict the outcome of the second set of trials by assuming that the ratio will be the same as in the first set of trials. Write a proportion by setting the two ratios equal to each other, then solve.

1

2

=

n

20

1

2

(220)

=

n

20

(220) Multiply both sides by (220)

120

= 2n Simplify

20

= 2n Simplify

10

= n Divide both sides by 2

You would expect to see 10 egrets out of the next 20 birds.

The solution is, : 10 out of the next 20 birds Logan sees would you expect to be egrets.

What is probability?

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.

here, we have,

First, write the experimental probability as a fraction in simplest form.

P(egret)=egrets

total

=7

2+7+2+3=

7/14=1/2

The experimental probability is

1/2

We can predict the outcome of the second set of trials by assuming that the ratio will be the same as in the first set of trials. Write a proportion by setting the two ratios equal to each other, then solve.

1/2=n20

1/2

(220)=n20

(220) Multiply both sides by (220)

120 = 2n Simplify

20 = 2n Simplify

10 = n [Divide both sides by 2]

You would expect to see 10 egrets out of the next 20 birds.

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In a grocery store, a $12 case of soda is labeled, "Get a 20% discount." What is the discount? What is the sale price of the case of soda?

Answers

the discount would just be 20% and then the sale of the sodas would be $10 because you’re getting two dollars off

%20 time 5 is 100
so 12 divided by five equals 2
12-2=10

PLEASE IM BEGGING!!!
The questions is: Find the perimeter and the Area of a Trapezoid

Answers

Answer:

Step-by-step explanation:

P = 65.4

not sure about area Sorry

A garden hose sprays 24 gallons of water in 1 minute. The ratio of pints to gallons is 8 to 1. How many pints of water does the garden hose spray in 1 minute?

Answers

Answer:

24 gallons

Hope this helps! :)

Answer: 192

Step-by-step explanation:

So we know the hose sprays 24 gallons of water a minute. We also know that 8 pints equal a gallon. So to figure out how many pints are in one minute, we multiply 8 x 24, since we have 24 gallons a minute and 8 pints equal a gallon. This equals 192 pints a minute.

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