Can anyone help me calculate the average rate of change of f(x)?

To attempt this algebraic equation we will be multiplying 4 to (3 - x) bracket so as to form the term on L.H.S.

[tex]:\implies\tt{4(3 - x) = (1 - 2x)}[/tex]

[tex]:\implies\tt{(12 - 4x) = (1 - 2x)}[/tex]

[tex]:\implies\tt{12 - 4x = 1 - 2x}[/tex]

Combining like terms, we get,

[tex]:\implies\tt{12 - 1 = - 2x + 4x}[/tex]

[tex]:\implies\tt{11 = 2x}[/tex]

[tex]:\implies\tt{2x = 11}[/tex]

[tex]:\implies\tt{x = \frac{11}{2} }[/tex]

[tex]:\implies\tt{x = 5.5}[/tex]

Hey there!

4(3 - x) = (1 - 2x)

4(3) + 4(-x) = 1 - 2x

12 - 4x = 1 - 2x

-4x + 12 = -2x + 1

ADD 2x to BOTH SIDES

-4x + 12 + 2x = -2x + 1 + 2x

SIMPLIFY IT!

-2x + 12 = 1

SUBTRACT 12 to BOTH SIDES

-2x + 12 - 12 = 1 - 12

SIMPLIFY IT!
-2x = -11

DIVIDE -2 to BOTH SIDES

-2x/-2 = -11/-2

SIMPLIFY IT!
x = 11/2

Therefore, your answer should be:

x = 11/2

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

All

Computing

Commerce

verb

past tense: wrote

1.

mark (letters, words, or other symbols) on a surface, typically paper, with a pen, pencil, or similar implement.

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Similar:

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2.

compose, write, and send (a letter) to someone.

"I wrote a letter to Alison"

Similar:

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write a letter

communicate

Answer: Side length E D corresponds to Side length B A because they are in the same position.

Step-by-step explanation:

Answer: b

Step-by-step explanation:

Answer: I'm sorry is this a real question

Method 1 :

replace x and y by their value 1 and 3

3 = 4(1) - 1 = 4-1 = 3

2(1) + 3 = 2 + 3 = 5

correct

Method 2 :

y = 4x - 1

2x + y = 5

y = 4x - 1

y = -2x + 5

y - y = 4x - 1 - ( -2x + 5 )

0 = 4x - 1 + 2x - 5

6x - 6 = 0

6x = 6

x = 6/6 = 1

y = 4x - 1

y = 4(1) - 1

y = 3

correct

Answer:

Yes the points (1,3) is the solution for the systems of equations that are shown

Step-by-step explanation:

y = 4x - 1

plug in the numbers

3 = 4(1) - 1

3 = 4 - 1

3 = 3 so this is correct

2x + y = 5

plug in the numbers

2(1) + 3 = 5

2 + 3 = 5

5 = 5

so that means the points are also a solution for BOTH

Answer:

The correct answer is actually D

Step-by-step explanation:

i am 100% correct because i just answered this

See

Two equally packed snacks means

So if no of friends be 5

Option D

When x=a the slope is undefined . And when y is b the slope is zero

Answer:

k = 12h

Step-by-step explanation:

Since each of the inputs of h can be mutiplied by 12 to get the output k, the equation is k = 12h
Hope this helps :)

Answer:

n=5     x=6

Step-by-step explanation:

2n+1 +n = 16

3n+1 =16

3n=15

n=5

    2x+x+x+1 =25

4x+1=24

4x=24

x=6

Answer: To find the area of a composite figure or other irregular-shaped figure, divide it into simple, nonoverlapping figures. Find the area of each simpler figure, and then add the areas together to find the total area of the composite figure.

Step-by-step explanation:

The first group of three wolves can be formed in 28 ways.

We have been given that Nine wolves, eight female and one male, are to be released into the wild three at a time.

What is the meaning of combination?

A combination is a combination of n things taken k at a time without repetition.

We need to choose 1 male wolf out of 1 wolf male. So  we can choose one wolf as

[tex]c(1,1)=\frac{1!}{1!(1-1)!} =\frac{1!}{1!}=1!=1[/tex]

We can choose 1 male wolf in only 1 way.

Since the female wolfs are identical that means order doesn't matter, so we will use combinations.

We can choose 2 female wolves out of 8 as

[tex]C(8,2)=\frac{8!}{2!(8-2)!} =\frac{8\times 7 \times 6!}{2\times 1\times 6!} =\frac{8\times 7}{2} =28[/tex]

Therefore, we can choose 2 female wolves out of 8 female wolves in 28 ways.

We have to find number of ways in which the first group of three wolves can be formed we will multiply the ways of choosing 1 male wolf and 2 female wolves.

Number of ways farming first group of three wolves

1(28)=28

Therefore, the first group of three wolves can be formed in 28 ways

To learn more about the combination visit:

https://brainly.com/question/25821700

Answer:

2130 per month

Step-by-step explanation:

25,560 / 12

2130

Answer:

4pi or 12.6

Step-by-step explanation:

I hope this helps

Answer:

so i wrote the steps but not the answers, if you want i can write the answers too

Step-by-step explanation:

hello! so here all you have to do is substitute the given points of x to the equation. then you put two points on the graph. (two points on each graph) i can write the answers if you want, but please try first! if you cant ill help some more and show how to do it.

its 33 I checked it mark the one above me brainiest

Answer:

Step-by-step explanation:

We can split this into 20 triangles, each with an angle sum of 180 degrees.

So 180(20) = 3600 degrees.

area = pi x r²

3,14 x r² = 452,16

r² = 144

r = 12

Answer:

Obviously Boston, since -27 is much less than 37

Answer:

  24 square units

Step-by-step explanation:

There are a couple of ways you can figure the area of the frame:

__

The dimensions of the outer rectangle are twice the frame width plus the dimensions of the inner rectangle. That makes them 8 wide by 6 high. Then the difference of areas is ...

  A = (8)(6) -(6)(4) = 48 -24 = 24 . . . . square units frame area

__

The centerline of the frame is a rectangle with 1 unit greater length and width than the inner rectangle. It is 7 units by 5 units, so will have a perimeter of ...

  P = 2(L+W) = 2(7+5) = 24 . . . . units

Then the area of the frame is this length multiplied by the width of the frame:

  A = (24)(1) = 24 . . . . square units frame area

Answer:

Lin needs to do 16 more chores if she wants to be able to pay the park fee

Step-by-step explanation:

Hope this helps! Please let me know if you need more help, or if you think my answer is incorrect. Brainliest would be MUCH appreciated. Have a wonderful day!

Answer:

We are given that Joel has 24 sports trophies, of the 24 trophies there are 1/8 soccer trophies.

1/8 of 24 is 3.

24 divided by 8 = 3 soccer trophies

There are 3 soccer trophies all the rest of the trophies, which is 21 trophies, will be other sports. 21 trophies + 3 soccer trophies = 24 trophies in total



Step-by-step explanation:

Have a great rest of your day
#TheWizzer

              -the pentagon is a regular pentagon meaning all its side lengths

               are equal since all the sides have one tick mark which says all        

               the side lengths are equal

     2. Solve:

                   Perimeter: 6 + 6 + 6 + 6 + 6 = 30cm

                ⇒ distance between the base pentagon and the top pentagon

                         ⇒ Height is 6 cm

     ⇒ the non-base faces are the squares on the side of the figure

       ⇒ there are 5 squares

          ⇒ Lateral Area = 5 * (Area of Square) = 5 * (6 * 6) = 180 square cm

  The formula for the pentagon's area ⇒ [tex]\frac{5}{2}*s*a[/tex]

       *apothem is the distance from the center of the pentagon to any

         one of the sides

           Area = [tex]\frac{5}{2} *6*4.1 = 15 * 4.1 =[/tex] 61.5 square centimeters

        Surface Area = 2 * (Area of Base) + (Lateral Area)

                                = 2 *61.5 + 180 = 123 + 180 = 303 square centimeters

Hope that helps!

The total mall visitors is the population parameter of the experiment

The sample of the experiment is 200, while the population is 1200

From the question, we have the following parameters:

The total mall visitors is the population while the visitors that were asked of their food preference are the sample

Hence, the sample of the experiment is 200, while the population is 1200

Read more about sample and population at:

https://brainly.com/question/9910540

Answer:

C.

Step-by-step explanation:

Because of the K And j = K and L.Those are equal of the length.

And also, I believed the angel of K is 130 degrees ...

I hope it can help you a lots...Thanks.

Answer:

C

Step-by-step explanation:

typical property of isoceles triangle

properties:

1.- Base angles are equal

2. has two sides equal

☆the two above are key to identifying an isoceles triangle

the one above satisfies no.2

brainliest please

Answer: Square

Step-by-step explanation:

A cross section cut parallel to a base will be the same shape as the base itself, and the base of a cube is a square. :)

Answer:

A square because it is not diagonal.

Step-by-step explanation:

Step-by-step explanation:

please mark me as brainlest

[tex]__________________________[/tex]

Answer:

Step-by-step explanation: