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A feasible region is bounded by the constraints:
y ≤ 20-x
{ y ≥ 20-4x
y ≥ 5-0.25x

The objective function is P = 3x + 5y.

(a) Graph the feasible region.
(b) Find the value of the objective function at each vertex of the feasible region.
(c) What is the minimum value of the objective function, P?
(d) At which vertex point does the minimum value occur?
Show all work.

Answers

Answer 1

Answer:

1) b. at vertex ( 0,20) P = 5(20) = 100 at vertex ( 4,4) P = 3(4) + 5(4) = 32 at vertex (20,0) P = 3(20) = 60 c. x = 4 , y = 4 2) x-intercepts x 1 = 1.66667, ...

Step-by-step explanation:


Related Questions

If the confidence interval and hypothesis test both used the same data, how did they come up with different standard errors

Answers

Confidence intervals and hypothesis testing share the characteristic that they are both inferential techniques

Confidence intervals and hypothesis tests are similar in that they are both inferential methods that rely on an approximated sampling distribution.

What is confidence interval?

Data from a sample is used to estimate a population parameter using confidence intervals. Data from a sample is used in hypothesis testing to examine a given hypothesis. It is possible that occasionally, when the hypothesis produces a non-significant result, the confidence interval will exclude the value specified under the null hypothesis because the standard error used to calculate the confidence interval is different from the standard error used in hypothesis testing.

We use the standard error of the mean to show the degree of uncertainty surrounding the estimation of the mean measurement. Most helpful for calculating a confidence interval is the standard error.

Hence , Confidence intervals and hypothesis tests are similar in that they are both inferential methods that rely on an approximated sampling distribution.

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Coordinate plane .........

Answers

Answer:

The answer is the blue dot

Step-by-step explanation:

You should remember that the x goes first in (x,y).

pls help will mark as brainlist ​

Answers

Step-by-step explanation:

total angle= 360°.

sides = 360/36 = 10 (decagon).

total angle= 360°

sides = 360/120 = 3(triangle).

hope this helps you to.

Please help quickly please

Answers

Answer

169

Step-by-step explanation:

If the chance of rolling a 3 on a dice is 1/6, what is the chance of not rolling a
3?

Answers

Answer:

5/6

Step-by-step explanation:

Assuming we are using a standard 6-sided die, we can say that there are 6 numbers on the die. 1, 2, 3, 4, 5, and 6. The chance of rolling any number, including 3, is 1/6

The change of not rolling a 3 would be 5/6, because there are 5 other numbers besides 3

Please help!! I’m taking a math course a grade above mine but since i’m on break my teacher isn’t able to help me.

Answers

Answer:

Slope = ½

Step-by-step explanation:

Given the two points on the graph, (-4 , 0) and (0, 2):

Let (x₁, y₁) = (-4 , 0)

      (x₂, y₂) = (0, 2)

Substitute the given points into the following slope formula:

[tex]\LARGE\mathsf{m = \frac {(y_2\: -\: y_1)}{(x_2\: -\: x_1)}}[/tex]

[tex]\LARGE\mathsf{m = \frac {2\: -\:0}{0\: -\:(-4)}}[/tex]

[tex]\LARGE\mathsf{m = \frac {2\: -\:0}{0\: +\:4}}[/tex]

[tex]\LARGE\mathsf{m = \frac {2}{4}\:=\:\frac{1}{2}}[/tex]

Therefore, the slope of the line is ½.

The total length of 5 belts and 3 shoe laces is 4.2 m. The total length of 3 shoe laces is equal to the length of 2 belts
a) Find the length of a belt
b) Find the total length of 7 belts and 2 shoe laces

Answers

Answer:

a= 0.84m

b= 7m

i tried my best but im not sure of the answer

Step-by-step explanation:

5x+3y=4.2

2x=3y

x = 4.2-3y/5

2*(4.2-3y/5) = 3y

=1.68/3 = 0.56

y=0.56

2x = 3*0.56

x = 0.84

a) The length of one belt (b) is 0.6 meters, or 60 centimeters.

b) The total length of 7 belts and 2 shoe laces is: 5 meters.

Let the length of one belt be "b" meters, and the length of one shoe lace be "s" meters.

a) Find the length of a belt:

According to the given information, the total length of 5 belts and 3 shoe laces is 4.2 meters. We can express this information as an equation:

5b + 3s = 4.2

b) Find the total length of 7 belts and 2 shoe laces:

The total length of 3 shoe laces is equal to the length of 2 belts. We can express this information as another equation:

3s = 2b

Now, we can use these two equations to solve for the values of "b" and "s."

Step 1: Solve the second equation for "s":

3s = 2b

Divide both sides by 3:

s = (2/3)b

Step 2: Substitute the value of "s" from the second equation into the first equation:

5b + 3((2/3)b) = 4.2

5b + 2b = 4.2

7b = 4.2

Step 3: Solve for "b":

b = 4.2 / 7

b = 0.6

Now that we have the value of "b," we can find the value of "s" using the second equation:

s = (2/3)b

s = (2/3) * 0.6

s = 0.4

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Expand.

Your answer should be a polynomial in standard form.

(x - 5)(x – 4) =

Answers

Answer:

[tex]x^2-9x+20[/tex]

Step-by-step explanation:

Use the distributive property.

[tex](x-5)(x-4)[/tex]

[tex]x^2-5x-4x+20[/tex]

[tex]x^2-9x+20[/tex]

This is already in standard form.

Hope this helps!

Help me please what's the scale factor of the dilation simplified!!!

Answers

Answer:

large/small = 4small/large = 1/4

Step-by-step explanation:

The small square extends from x=1 to x=4, so its side length is 4-1 = 3.

The large square extends from x=4 to x=16, so its side length is 16-4 = 12.

The scale factor is ...

  large/small = 12/3 = 4

or

  small/large = 3/12 = 1/4

We don't know which way you're scaling, so choose the factor appropriate to your question.

I have an exercise that asks me: answer true or false, are the Italian regions washed by the sea a whole?

Answers

Answer:

Select an answer for each item. If you do not know the answer, you should make an educated guess. At the bottom of the test, you will be given your results. Questions 1-5. Read the following early draft of an essay and then choose the best answer to the question or the best completion of the statement. (1) Seaweed-based fuel could one day power ...

Step-by-step explanation:

Answer:

Is false because the Italian regions are partly bathed by the sea

Step-by-step explanation:

What numbers could be at each letter?
A=

B=

C=

D=

E=

Answers

Answer:

A= 1

B= 2

C = 3

D = 4

E = 5

And so on going on for the 26 letters. But no clue since you said "could"

Dan earns £7.90 per hour. How much will he earn for 6 hours work?

Answers

Answer:

$47.4

Step-by-step explanation:

Answer:

Step-by-step explanation:

The earning will increase for 6 hours. So, we have to multiply 7.90 by 6

Earnings after 6 hours =  6 * 7.90 = £  47.40

point (3,4) what is the point after the transformations?

rotation 180° around origin
reflection over the y axis
translate 3 up and 2 left​

Answers

Answer:

in the picture

hope this helps! :D

!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!4

Answers

Answer:

It's the 2nd graph

Step-by-step explanation:

Think about it. The large barrel weighs 25 pounds. There are 20 gallons of water. Now look at the graphs 1 more time.

When a cold drink is taken from a refrigerator, its temperature is . After minutes in a room its temperature has increased to . What is the temperature of the drink after minutes

Answers

Answer:

Step-by-step explanation:

[tex](5x10^3)x(9x10^7)[/tex]

Answers

Answer:

Step-by-step explanation:

[tex](5x10^{3})x(9x10^{7})=5*9*x^{1+1+1}*10^{3+7}\\\\=45x^{3}*10^{10}[/tex]

Given the formula:
[tex]x = \frac{1 + a}{1 - a} [/tex]
Solve for "a" when x=12.​

Answers

[tex]12 = \frac{1+a}{1-a} => 12(1-a)= 1+ a \\=> 12 -12a = 1 + a => 12a+1 = 12-1 \\=> 13a = 11 => a= \frac{11}{13}[/tex]

ok done. Thank to me :>

Find the slope and the y−intercept of the line in the graph.



The slope is .

The y−intercept is .

Please be very specific
Very confused
Help please??

Answers

Answer:

Step-by-step explanation:

Using the slope-intercept form:

y=mx+b

In the equation y=mx+b, b is the coordinate on the y-axis where the graph crosses the y-axis and m denotes the slope of the line. The x and y represents all the (x, y) order pairs that graph points.

y=3x+4

Substitute x for 0 to find the pair (0, Y). y=3(0)+4 Since 3 times 0 is 0, y will equal 4.

So put 4 under the 0.

y=3(-1)+4 ⇒-1,1 y=1

y=3(0)+4 ⇒0,4 y=4

y=3(1)+4 ⇒ 1, 7 y=7

y=3(2)+4 ⇒ 2, 10 y=10

y=3(3)+4 ⇒ 3, 13 y=13

I don’t know what way the line goes

Answers

Answer:

line goes from bottom left to top right or as we would call it positive. now the +5 is your y intercept so start at 5 and go up one over 2 right because that is your slope

What is the value of a if 5a = 1/125

(It’s not 1/625)

Please answer!!

Answers

Answer:

a = -3.

Step-by-step explanation:

5^a = 1/125

5^3 = 125

so 5^-3 = 1/125

Answer:

a = -3

Step-by-step explanation:

5^a = 1/125

Rewriting 1/125 as 1/5^3 = 5^-3

5^a = 5^-3

a = -3

The new location for a park needs to be exactly 5 miles from the school. When plotted on the coordinate plane, the school is located at (3, 3).

Use the Pythagorean theorem to determine two possible locations on the coordinate plane for the park.

Answers

Answer:

the answer is -1, 0 and 6, -1

Step-by-step explanation:

-1, 0 and 6, -1

(Hope this helps can I pls have brainlist (crown)☺️)


help and maybe explain how to solve

Answers

Answer:

1) x = 55°

2) x = 30°

3) x = 68°

Step-by-step explanation:

In the given set of questions where it requires to find the unknown value of x to prove that v ||w:

Definition of Consecutive Interior Angles Theorem:

The Consecutive Interior Angles Theorem states that for any given two parallel lines cut by a transversal, the measures of a pair of consecutive interior angles have a sum of 180°. Hence, the pair of consecutive interior angles are supplementary.

Question 1

1.)  In the given diagram, the two consective interior angles are m ∠70° and m ∠ 2x°.  As defined by the Consecutive Interior Angles Theorem:

m ∠70° + m ∠ 2x° = 180°

Solve for x algebraically:

70° + 2x° =  180°

Subtract 70° from both sides:

70° - 70° + 2x° =  180° - 70°

2x° =  110°

Divide both sides by 2 to solve for x:

[tex]\LARGE\mathsf{\frac {2x^{\circ}}{2}\:=\:\frac{110^{\circ}}{2}}[/tex]

x = 55°

Verify whether the value for x is valid:

70° + 2x° =  180°

70° + 2(55)° =  180°

70° + 110° =  180°

180° =  180° (True statement).

Question 2:

2) In the given diagram, the two consective interior angles are m ∠2x° and m ∠ 4x°.  As defined by the Consecutive Interior Angles Theorem:

m ∠2x° + m ∠ 4x° = 180°

Solve for x algebraically:

2x° + 4x° =  180°

Add like terms:

6x° = 180°

Divide both sides by 6 to solve for x:

[tex]\LARGE\mathsf{\frac {6x^{\circ}}{6}\:=\:\frac{180^{\circ}}{6}}[/tex]

x = 30°

Question 3:

The Consecutive Interior Angles Theorem still applies in this question. The two consective interior angles are m ∠90° and m ∠ (x + 22)°.  As defined by the Consecutive Interior Angles Theorem:

m ∠90° + m ∠ (x + 22)° = 180°

Solve for x algebraically:

90° + x° + 22 =  180°

Combine like terms:

112° + x° = 180°

Subtract 112° from both sides to isolate x:

112° - 112° + x° = 180° - 112°

x = 68°

Verify whether the value for x is valid:

90° + x° + 22 =  180°

90° + 68° + 22 =  180°

180° =  180° (True statement).

What is the equation of the line graphed below? Write your answer in slope-intercept form. (y = mx + b)

Don't forget to simply if you can!

Answers

Y=-2x+10 is the equation

Answer:

y = 2x + 2

Step-by-step explanation:

Slope = (change in y-values)/(change in x-values)

Slope = (-6 - 6)/(-4 - 2)

Slope = -12/-6

Slope = 2  

Use the slope = 2 and point (2, 6) and substitute into y = mx + b to solve for b.

y = mx + b

6 = 2(2) + b

6 = 4  + b

b = 2

The equation is y = 2x + 2

Solve the quadratic by factoring.
4x^2 – 2x – 3 = 2x
PLS HELP ASAP!!!

Answers

Answer:   X = -(1/2) AND X = (3/2)

Step-by-step explanation:

4x^2 – 2x – 3 = 2x

4x^2 – 4x – 3 = 0

(2x+1)(2x-3) = 0

1.  (2x+1) = 0

    2x = -1

      X = -(1/2)

2.  (2x-3) = 0

      2X = 3

         X = (3/2)

What is the slope of the line ?

Answers

Answer:

[tex]m=\frac{4}{5}[/tex]

Step-by-step explanation:

You can calculate the slope with just 2 points, so find 2 points on the line that land perfectly on the grid.

I'll use (-2, 0) and (3, 4) here

To calculate slope:

[tex]m=\frac{y2-y1}{x2-x1}[/tex]

where (x1, y1) is your first point and (x2, y2) is your second. Technically they can go in any order, but I think its generally easier to consider first-to-last as left-to-right.

Plug in those 2 points and solve:

[tex]m=\frac{4-0}{3--2}\\m=\frac{4}{5}[/tex]

Think of slope as rise over run. A slope of [tex]\frac{4}{5}[/tex] means it rises 4, and goes over 5. It's also literally rise over run, as the top number (rise) is over the bottom number (run).

Company X tried selling widgets at various prices to see how much profit they would
make. The following table shows the widget selling price, x, and the total profit
earned at that price, y. Write a quadratic regression equation for this set of data,
rounding all coefficients to the nearest tenth. Using this equation, find the profit, to
the nearest dollar, for a selling price of 14.25 dollars.

Answers

Regression equations are used to represent the relationship between the x and y variables.

The quadratic regression equation is [tex]\mathbf{y =-6.407 X^2 +216.721 X -975.561}[/tex]The profit for a selling price of $14.25 is $812

To determine the quadratic regression equation, we make use of a graphic calculator

Using a graphing calculator, we have the quadratic regression equation to be [tex]\mathbf{y =-6.407 X^2 +216.721 X -975.561}[/tex]

When the selling price is $14.25, it means that:

[tex]\mathbf{x = 14.25}[/tex]

So, we have:

[tex]\mathbf{y =-6.407 \times 14.25^2 +216.721 \times 14.25 -975.561}[/tex]

Evaluate the exponents

[tex]\mathbf{y =-6.407 \times 203.0625+216.721 \times 14.25 -975.561}[/tex]

Evaluate the products

[tex]\mathbf{y =-1301.0214375+3088.27425 -975.561}[/tex]

Evaluate like terms

[tex]\mathbf{y =811.6918125}[/tex]

Approximate to the nearest dollar

[tex]\mathbf{y =812}[/tex]

Hence, the profit for a selling price of $14.25 is $812

Read more about regression equations at:

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What is the value of a? Enter the answer in the box.

Answers

Answer:

a = 25°

Step-by-step explanation:

60° and 3a - 15° are congruent because they are corresponding.

60 = 3a - 15

75 = 3a

a = 25°

-Chetan K

please no links!!

and please help me​

Answers

Answer:

Hey mate....

Step-by-step explanation:

This is ur answer....

1. 18 markers per packet.2. 6 minutes per video (actual is 6 minutes 5 seconds) 3. 16 plants per row.4. 12 muffins per batch

Hope it helps!

Brainliest pls!

Follow me! ♧

Can someone help me pls I’ll give brainliest to whoever is right no scam links or your getting reported only answer if you know

Answers

Answer: 3b + 125 = 157.97

Step-by-step explanation:

The two things contributing to the total cost are the cost of the bags of dog food and the adoption fee, so they need to be added together.

There are 3 bags of dog food at an unknown price, so we need to multiply 3 by an unknown value represented by the variable b.

The $125 adoption fee should be added to the price of the bags of dog food, so add 125. This creates an equation of 3b + 125 = 157.97

Find the value of x.

Answers

Answer:

x = 69

Step-by-step explanation:

2x - 3 = 135

2x = 135 + 3

2x = 138

2x/2 = 138/2

x = 69

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