Given that f(x)=2x-8, determine the average rate of change over the interval [2, 8].

Answers

Answer 1

Answer:

2

Step-by-step explanation:

The average rate of change over [2, 8] is the change in the y-values over the change in the x-values.

[tex]\frac{f(8) - f(2)}{8 - 2}[/tex]

[tex]f(8) = 2(8) - 8 = 16 - 8 = 8[/tex]

[tex]f(2) = 2(2) - 8 = 4 - 8 = -4[/tex]

[tex]\frac{8 - (-4)}{8-2} = \frac{8 + 4}{8-2} = \frac{12}{6} = 2[/tex]


Related Questions

please help easy maths gradient thanks so much

Answers

Answer:

Y-2x=8

Y-x=8/2

Yx=4

Maths gradients

Answer:

b

Step-by-step explanation:

Two rectangles are similar. The smaller has a length of 8 cm and an area of 40 cm.
If the width of the larger rectangle is 10 cm, find its area.

Answers

Answer:

160 cm²

Step-by-step explanation:

If the two rectangles are similar, that means they have equal scale factors.  The smaller rectangle has length of 8 cm and area of 40 cm, which means the width is 5 cm.  

The width of the larger rectangle is 10 cm, which is double the width of the smaller, similar rectangle.  So, to find the length of the larger rectangle, multiply 8 x 2, which gives you 16 cm for the length, since the scale factor is 2.

Now, just find the area of the larger rectangle by doing length x width.  16cm x 10 cm = 160 cm²

Answer:

160 cm^2

Step-by-step explanation:

Our strategy is to find the length of the larger rectangle so we can find the area. To find the length, we will rely on the fact the two rectangles are "similar": their sides are in equal proportions, or have the same "ratio."

We know that the smaller rectangle has a width of 5 cm because, when we substitute area and length into

A = lw

we get

40 = 8w

w = 5

when we divide both sides by 8.

Because of equal proportions:

Width : length of the smaller rectangle = Width : length of the larger rectangle

We can write an equation

5 / 8 = 10 / x

Cross multiply

5x = 80

x = 16

So the larger rectangle has a length of 16 cm and a width of 10 cm (given)

meaning the area is

16 * 10 = 160 cm^2

solve 4m plus 2n equals 5n for m.

Answers

Answer:

m = (3/4) n

Step-by-step explanation:

4m + 2n = 5n

The subtraction property of equality states that we can subtract 2n from both sides to isolate the m and its coefficient to get

4m = 3n

The division property of equality states that we can divide 4 from both sides to isolate only the m (we divide by 4 because anything divided by itself equals 1) to get

m = (3/4) n

Which multiple of 10 is closest to 18?

Answers

Answer:

I think it is 20

step by step explanation

Multiples of 10:-

10×1=1010×2=2010×3=3010×4=40

18 is closest to 20

Hence our answer is 20

PLEASE HELP!! i can’t figure this out!

Given the point A(-3,-3) and B(5,1), find the coordinates of the point P on the directed line segment AB that partitions AB in the ratio of 3:1.

Answers

Answer:

1,-1

Step-by-step explanation:

midpoint is (-3)+5÷2 ; (-3)+1÷2

=1;-1

-6, 20, 4.3, -59/-9
Order from least to greatest

Answers

-59 -9 -6 4.3 20 there

20 PTS + Brainliest. Please find the size of the blue area, explain your work.

Answers

here is answer, hope u understand:)

PLEASE HELP COMPARING RATIOS

Answers

Answer:

John: 8 Hong: 5 Keith: 7

Step-by-step explanation:

Divided each larger number by three smaller one, and that is how much time each flyer spent.

PLEASE HELP!!! I really need help with this.

Answers

Answer:

M.  2.5n - (-8.2) = 26. 7

to find n transpose

2.5n + 8.2 = 26. 7

2.5n = 26. 7 - 8.2

2.5n = 18.5

n = 18.5 ÷ 2.5

n = 7.4

L.  [tex]\frac{7a + 1}{2}[/tex] = 18

7a + 1 = 18 ×2

7a + 1 = 36

7a = 36 - 1

7a = 35

a = 35 ÷ 7

a = 5

N.     [tex]\frac{2}{5}[/tex] b + 1 = -11

[tex]\frac{2}{5}[/tex] b   = -11 -1

[tex]\frac{2}{5}[/tex] b   = -12

b = -12 - [tex]\frac{5}{2}[/tex]

b = 20

H.   5 - [tex]\frac{9}{2}[/tex] d = 32

- [tex]\frac{9}{2}[/tex] d = 32 - 5

- [tex]\frac{9}{2}[/tex] d = 27

d =  27 + [tex]\frac{2}{9}[/tex]

d = 6

A Cheetah running at 61 miles per hour is chasing an American Antelope that is running
at a rate of 1583 meters per minute.
Which animal is running at a faster rate?

Answers

Answer:

Cheetah

Step-by-step explanation:

American Antelope's speed = 94980 meters per hour

                                            = 59 miles per hour

The Cheetah is faster than the American Antelope

What fractional part of the bar is red?

Group of answer choices

1/6

2/6 or 1/3

3/6 or 1/2

4/6 or 2/3

Answers

2/6 is the correct answer

Evaluate-2xy, if x=-4 and y=1.
32
0-16
0-32
16

Answers

Answer:

8

Step-by-step explanation:

This question asks for us to substitute values of variables into the following equation: -2xy

We know two pieces of information:

x = -4y = 1

All we have to do is substitute the values for variables.

-2xy

-2(-4)(1)

= 8(1)

=8

Help please. Domain ASAP

Answers

Answer:

x ≥ -1

Step-by-step explanation:

The domain is all the possible x-values of the function.

Reading from left to right, the first x-value is x = -1 (which is included because the dot is filled in.) From there, the graph goes to the right, towards infinity.

So x is greater than or equal to -1.

x ≥ -1

A carpenter had a piece of wood 10 feet long. She cut the wood into pieces 1 1/4 feet In length. How many pieces of wood did she cut

Answers

Answer:

8

Step-by-step explanation:

10/(5/4) = 8

1 1/4 = 5/4

Solve for W.
4w=5.12

Answers

Answer:

x =1.28

Step-by-step explanation:

4w=5.12

Divide each side by 4

4w/4 = 5.12/4

x =1.28

The answer is w=1.28

using the variable n write an algebraic expression for a number increased by 6

Answers

The answer you are looking for is simply just n+6.

Solution/Explanation:

If you use the variable "n" to write an algebraic expression, for a number increased by 6, you must write it like this:

n+6.

And, also, increase obviously means the same thing as adding.

So, therefore, "n" stands for the number in this algebraic expression, and if you add 6 to that number "n," it must be n+6.

So, therefore, the final answer is n+6.

I hope that this has helped you. Enjoy your day, and take care!

BRAINIEST AWNSER 100 points PLEASE HELP






The number 1 is the identity for multiplication. Do you think
that division has an identity? Explain your reasoning.

Answers

Answer:

Yes, because if the multiplication identity is 1, the division identity may be -1 because it is the opposite.

Step-by-step explanation:

please help me please.

Answers

Step-by-step explanation:

For every clockwise 90-degree rotation on a point (x, y), the resulted transformation will be (y, -x).

Now, counterclockwise 270 degree rotation is equivalent to clockwise 90 degree rotation. Then, for instance, point H=(2 ,-1) will be transformed into the image H'=( -1,2)

At a charity​ fund-raiser, adult tickets were sold for ​$10 each and​ children's tickets were sold for $4 each. Write an algebraic expression for the total amount of money raised from the sale of tickets. How much money was raised if the fundraiser sold 244 adult tickets and 387 ​children's tickets?

Answers

Answer:

the all adult tickets made out 2440$

the all children tickets made out 1548

Find a16 of the sequence 1, 6, 11, 16, ....

A. 81
B. 66
C. 76
D. 71

Answers

Answer:

C. 76

Step-by-step explanation:

Since the numbers add up by 5, you can use this equation. 5x-4.  Plug in 16 for x to get the answer which is 76.

Tom makes a bet with his friend Bob. Bob wagers $100, but Tom decides to make him a deal. If Bob wins, Tom will pay him $100. If Tom wins, Bob will instead pay $1 for the first day, then every day for 10 days he must match the total amount paid so far.
For the first day, Bob will pay $1. The second day, he will pay an additional dollar, since he has only paid $1 thus far. The third day he will pay $2, the fourth $4, and so on.
If Bob has a 75% chance to win, which of the following is the closest to the amount of money Tom will make on average with this bet?
Possible Answers:
A. -$25
B. $50
C. $0
D. $25
E. $100

Answers

Answer:

B

Step-by-step explanation:

A vegetable farmer fills of a wooden crate with of a pound of tomatoes. How many pounds of tomatoes can fit into one crate?

Answers

You can’t tell because it might be more than 1 pound, but you can say it’s at least 1 pound.

Which of the following is a point of tangency on the circle below?

Answers

Answer:

Answer D but read below.

Step-by-step explanation:

The point of tangency is the endpoint of either a radius or a diameter such that only one point of the circumference of the circle is concurrent with the endpoint of the diameter or radius of the circle.

Technically, it is none of them. E should be 180 degrees. That is really a sloppy question.

However I think you are expected to answer F which is answer D.

Answer:

The answer is D.

Step-by-step explanation:

I learned it in school.

5 +4.2 + 5 – 2. 2 - 1​

Answers

14.2 - 2.2 - 1
12 -1
11

Hope this helps

Answer:

11

Step-by-step explanation:

You would add 5 + 4.2 + 5 - 2.2 - 1 in a calculator and it would come out to be 11.

What is the answer ?

Answers

Answer:

27

Step-by-step explanation:

36 divided by 4 equals 9 which is what the sea turtle can swim in 1 second. Multiply 9 by 3 and you'll get 27.

Answer:

Step-by-step explanation:

13 Points Plz Help Me

Answers

Step-by-step explanation:

y+x-2-6x = y-5x-2

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

5xy+4x-5xy-3 = x

Write -93.74 as a mixed number.

Answers

As a mixed number, -93.74 would be -93 74/100 or -93 37/50

A wood board 59 inches long is cut into three parts. The first part is twice the
length of the second part. The third part is 5 less than the second part. How long
are the three parts?

Answers

Answer:

first part is 32 inches, second part is 16 inches, third part is 11 inches.

Step-by-step explanation:

2x + x + x - 5 =  59

4x + 64

x = 16.

we can then plug 16 in first parts expression, 2x, for 32. second part is just x so 16. 3rd part is 5 less, x-5, so 11.

Answer question worth 25 points plz help!

Answers

Answer:

B

Step-by-step explanation:

PLS HELP THIS IS WITH THE HELP OF SQAURES

Answers

Step-by-step explanation:

you heard of the Pythagoras formula for rectangular triangles ?

c² = a² + b²

c is the Hypotenuse (the side opposite of the 90 degree angle), a and b are the other 2 sides touching the 90 degree angle.

so, in your case here we have therefore

x² = 8² + 6² = 64 + 36 = 100

x = sqrt(100) = 10

you know "sqrt" is an international abbreviation for square root : the opposite of squaring a number.

Other Questions
who is office cheif ? write any four function of office cheif ( subject : account) help me find xhelp please {x:x is a natural number and x is greater than 70} write the set in listed form. name 3 historical events that helped establish the territorial boundaries of present day of new mexico what is geometrical shape? list them and describe any two of them with sketch Do you know this for social studies Which direction were these three civilizations from the United States?Which Direction were these three civilizations from the United States? a never ending decimal is which type of number?a. Rationalb. irrational c. none of these The periodic table below shows major regions in different colors. Which answer choice describes the noble gases?A. All of the elements of Period 1 in orange boxesB. The two separate rows of elements in dark and light blue boxes at the bottomC. All of the elements in green boxesD. All of the elements of Group 18 in orange boxes Lamar is solving the equation x^2 - 12x = -6 by completing the square. Whichshows Lamar's next step and the solution to the equation? do you think an event like the holocaust can happen agian ? and why ??? y+5=3/2(x-7) write in y=mx+b form PLEASE HELP!!!!! Need hELP ASAP The product of 4x and 0 is:a- 4xb- 4c- 0d- none of these A student rotated figure A 270 clockwise about the origin to create figure D. Evaluate whether the student performed the rotation correctly. 5x+8=3(x+2) anyone know the answer? Andrea invites some of her relatives to a party.She invites: 12 cousins6 aunts4 brothers2 sisterswhat fraction are aunts and sisters THREE reasons except politics for the looting of shops,malls and the destruction of business property in GAUTENG and KwaZulu Natal I need with this math question Write the following phrase as a variable expression. Use x to represent "a number" the sum of a number and seventeentranslation is: