The table of values represents a function ​f(x).

How much greater is the average rate of change over the interval [7, 9] than the interval [4, 6]?



Enter your answer in the box.

Answers

Answer 1

Answer:

It is 603 units greater

Step-by-step explanation:

Given

See attachment for table

Average rate of change over (a,b) is calculated as:

[tex]Rate = \frac{f(b) - f(a)}{b-a}[/tex]

For interval [7,9], we have:

[tex][a,b] = [7,9][/tex]

So, we have:

[tex]Rate = \frac{f(9) - f(7)}{9-7}[/tex]

[tex]Rate = \frac{f(9) - f(7)}{2}[/tex]

From the table:

[tex]f(9) = 3878[/tex]

[tex]f(7) = 1852[/tex]

So:

[tex]Rate = \frac{f(9) - f(7)}{2}[/tex]

[tex]Rate = \frac{3878 - 1852}{2}[/tex]

[tex]Rate = \frac{2026}{2}[/tex]

[tex]Rate = 1013\\[/tex]

For interval [4,6], we have:

[tex][a,b] = [4,6][/tex]

So, we have:

[tex]Rate = \frac{f(6) - f(4)}{6-4}[/tex]

[tex]Rate = \frac{f(6) - f(4)}{2}[/tex]

From the table:

[tex]f(6) = 1178[/tex]

[tex]f(4) = 358[/tex]

So:

[tex]Rate = \frac{f(6) - f(4)}{2}[/tex]

[tex]Rate = \frac{1178 - 358}{2}[/tex]

[tex]Rate = \frac{820}{2}[/tex]

[tex]Rate = 410[/tex]

Calculate the difference (d) to get how much greater their rate of change is:

[tex]d = 1013 - 410[/tex]

[tex]d = 603[/tex]

The Table Of Values Represents A Function F(x).How Much Greater Is The Average Rate Of Change Over The
Answer 2

Answer:

603

Step-by-step explanation:

i took it


Related Questions

What is the value of 6 r + 6 − 4 s , when r = 7 and s = 3 ?

Answers

Answer:

36

Step-by-step explanation:

6r + 6 - 4s

r = 7

s = 3

6(7) + 6 - 4(3)

42 + 6 - 12

(remember PEMDAS, adding/subtracting left to right)

48 - 12 = 36

therefore the answer is 36

hope this helps ! :)

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\textsf{6r + 6 - 4s}[/tex]

[tex]\large\text{If r = 7 & s = 3, then SUBSTITUTE it into the EQUATION}[/tex]

[tex]\large\textsf{6(\underline{7}) + 6 - 4(\underline{3})}[/tex]

[tex]\large\textsf{6(7) = \bf 42}[/tex]

[tex]\large\textsf{\bf 42}\large\textsf{ + 6 - 4(3)}[/tex]

[tex]\large\textsf{42 + 6 = \bf 48}[/tex]

[tex]\large\text{\bf 48}\large\text{ - 4(3)}[/tex]

[tex]\large\textsf{4(3) = \bf 12}[/tex]

[tex]\large\textsf{48 - \bf 12}[/tex]

[tex]\large\textsf{= \bf 36}[/tex]

[tex]\boxed{\boxed{\large\text{Answer: \textsf{\huge \bf 36}}}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

What is the surface area of the net? *inches squared*

Answers

9514 1404 393

Answer:

  75 in^2

Step-by-step explanation:

The central vertical rectangle (including "ears") has dimensions

  3 in wide by (9+2+2) = 13 in tall

Its area is

  A = LW = (3 in)(13 in) = 39 in^2

__

The two rectangles either side of that have dimensions 2 in by 9 in. The area of each of them is

  A = LW = (2 in)(9 in) = 18 in^2

__

The total net area is the sum of the areas of the parts:

  left rectangle + central rectangle + right rectangle

  = 18 in^2 + 39 in^2 + 18 in^2 = 75 in^2 . . . . surface area of the net

The 8 red markers in a package account for 4% of all markers in the package. How many markers are in the package?

Answers

Answer:

192 markers

Step-by-step explanation:

if 8 = 4% then 2=1%

so we can assume there are 200markers in the package.

8-200= 192 markers

Number 26 (PlSss Help I really need help on this) I’ll give 15 points!!!!!!

Answers

[tex]\mathcal\pink{The \: answer \: is }[/tex]

only one window has height that is a whole number of centimeters

[tex]\mathcal{HOPE \: IT \: HELPS}[/tex]

[tex]\huge\pink{mark \: as \: brainliest}[/tex]

H
45
G
8
F
3
Ε
Find
cos FHE.

Answers

Answer:

no sé pero lo nesesito porfavor

Answer:

Its B. 4/5

Step-by-step explanation:

on edge 2020 :)

I will give you Brainiest if you are right.

Answers

Just add the polynomials or combine like terms and you gets 3x+6

Answer:

C. 3x + 6

Step-by-step explanation:

x + x + x + 1 + 1 + 1 + 1 + 1 + 1 + (-1) + (-1) =

= 3x + 6

Answer: C. 3x + 6

Use the figure to find the measures of the numbered angles.
EXPLAIN YOUR REASONING

Answers

6 is 61
5 and 7 are 119 (180 - 61)
4 and 2 are 61
1 and 3 are 119

Answer:

1 = 61°

2 = 119°

3 = 61°

4 = 119°

5 = 119°

6 = 61°

7 = 119°

Step-by-step explanation:

∠1 and 61° are corresponding angles, therefore, they would be the same angle; ∠1 = 61°.

∠2 and 61° are supplementary angles, therefore, ∠2 would be 119°.

∠3 and ∠1 are vertical angles, therefore, ∠3 = 61°.

∠4 and ∠3 are supplementary angles, therefore, ∠4 would be 119°.

∠5 and 61° are supplementary angles, therefore, ∠5 would be 119°.

∠6 and ∠1 are alternate exterior angles, therefore, ∠6 would be 61°.

∠7 and ∠6 are supplementary angles, therefore, ∠7 would be 119°.

Find the measure of each numbered angle or are.

Answers

Answer:

<2 = 133degrees

<1 = 135degrees

Step-by-step explanation:

From the diagram, the angle <2 and 47 are supplementary, hence;

<2 + 47 = 180

<2 = 180 - 47

<2 = 133degrees

To get <1;

47 = 1/2(<1 - 41)

47 * 2 = (<1 - 41)

94 = <1 - 41

<1 = 94 + 41

<1 = 135degrees

pls help this stuff is so hard to understand

Answers

Answer:

y = 0.5 (2)^x

Step-by-step explanation:

3rd option

you can plug in a coordinate point like (2, 2) to check this.

In the figure to the right, what is the measure of angle DAC ?

I’m not going to show answer Options because I don’t want anyone to put something random

Don’t put links cs I’m not going to press it <3

Answers

Answer:

47 degrees

Step-by-step explanation:

i am super smart

Listed below are the summary statistics from samples of strontium-90 in baby teeth obtained from twelve Pennsylvania residents and another twelve from New York residents born after 1979. PA NY Mean 147.583 136.417 Stdev 10.6383 5.21289 If we wished to test the claim that the mean amount of strontium-90 from Pennsylvania residents is greater than the mean of New York residents, and can assume that the variances are equal, what is the Test Statistic for this test

Answers

Answer:

9.72

Step-by-step explanation:

s1 = 10.6383 ; s2 = 5.21289

x1 = 147.583 ; x2 = 136.417

n1 = 12 ; n2 = 12

df1 = n1 - 1 = 12 - 1 = 11

df2 = n2 - 1 = 12 - 1 = 11

The test statistic :

(x1 - x2) / sqrt[(sp²/n1 + sp²/n2)]

Pooled variance = Sp² = (df1*s1² + df2*s2²) ÷ (n1 + n2 - 2)

Sp² = ((11*10.6383) + (11*5.21289)) / 22 = 7.926

Test statistic, T* :

(147.583 - 136.417) / √(7.926 * (1/12 + 1/12))

11.166 / √(7.926 * (1/6)

11.166 / √1.321

11.166 / 1.1493476

T* = 9.7150766

Test statistic = 9.72

Find the surface area of the cone. Round answer to the nearest tenth.*

Answers

Answer:

628.319 rounded= 628.3

Step-by-step

need ko na po this now

please answer this question

thank you po​

Answers

Answer:

B.

Step-by-step explanation:

Use the compass and ruler to construct the bisector of the angle given below.

Answers

Bisector of the angle is the line that divides the angle into two angles with the same measure. In the image attached, the bisector of the angle is represented by the green line.

The next steps show you how to construct the bisector of the angle from a ruler and a compass.

Draw an arc using the vertex of the angle (O) as the center;Mark the points A and B;Draw an arc using the point (A) as the center;Draw an arc, with the same radius, using the point (B) as the center. This arc should intersect the arc that you draw in the previous step. Draw a line connecting the point C to the vertex O.

Finally, you have the bisector of the angle that is represented by the green line.

Learn more about the bisector of the angle here:

https://brainly.com/question/7288045

Your friend has two standard decks of 52 playing cards and asks you to randomly draw one card from each deck. What is the probability that you will draw two spades?

Answers

Answer:

If you have 2 decks of 52, it would be 1/52 chance per card, so since there are two, add it up, its 2/104

Step-by-step explanation:

Answer:

1/16

Step-by-step explanation:

:))

What is the volume of an 8-inch by 4-inch by 44-inch rectangular box?​

Answers

Answer:

1408

Step-by-step explanation:

Answer:

1,408 cm³.

Step-by-step explanation:

To find the volume of a rectangular prism, or in this case, a rectangular box, multiply the length, width, and height.

[tex]4*8*44=1,408 in^3.[/tex]

Therefore, the volume of the rectangular box is 1,408 cm³.

The radius of a circle is 6.1 millimeters. What is the circle's area?

Answers

[tex]area = \pi \times {r}^{2} \\ area = 3.142 \times {6.1}^{2} \\ area = 3.142 \times 37.21 \\ area = 116.91 {mm}^{2} [/tex]

What is the coefficient in the following expression?
5a– 7

Answers

5 is the Coefficient
the coefficient is 5

Answer? ................,,,,,,

Answers

Step-by-step explanation:

what is the formula for the whole surface area of a sphere ?

[tex]a = 4 \times \pi \times {r}^{2} [/tex]

that would give us the whole surface area all 360 degrees or 2×pi arc length all around the sphere.

but we don't need all 360 degrees. we only need the Theta'th (that is the specified angle) part.

in radians the arc length of that angle segment on the "equator" of the sphere

s = r×Theta

and the whole equator circumference is

c = 2×pi×r

so, the Theta'th part is then

r×Theta / 2×pi×r = Theta / 2×pi

we only need that part of the whole sphere surface area, so the formula would look like

[tex]lune = theta \times 4 \times \pi \times {r}^{2} \div (2 \times \pi)[/tex]

=>

[tex]lune = theta \times 2 \times {r}^{2} [/tex]

Multiply.
(-3+2i)(-4+4i)
Write your answer as a complex number in standard form.

Answers

Answer:

4 - 20 i

Step-by-step explanation:

you do stuff and you get 4 - 20 i

yoo please help me out

Answers

Answer:

70

Step-by-step explanation:

The answer is 187
U do 17 x 22 divided by 2 equals 187

If Sn=2^n-1

what's the expression of
Sn-1?​

Answers

Answer:

[tex]S(n-1)=2^{n-2}[/tex]

Step-by-step explanation:

Given that,

The value of [tex]S_n=2^{n-1}[/tex]

We need to find an expression for [tex]S(n-1)[/tex]. To find it, put the value of n as (n-1). So,

[tex]S_{n-1}=2^{n-1-1}\\\\=2^{n-2}[/tex]

Hence, the value of S(n-1) is equal to [tex]2^{n-2}[/tex].

Which angles are pairs of corresponding angles? Check all that apply.
1/2
4 3
516
87
9 110
12111
13/14
16/15
1 and
3

Answers

Answer: The pair of corresponding angles are ∠2 and ∠14 , ∠3 and ∠7 . Option (B) and (D) is correct . When two lines are parallel to each other and cross by another line i.e is called the Transversal , the angles lies in the matching corners are called corresponding angles.

hope it helps!!

From the options given, the angles that are pairs of corresponding angles given in the image are:

∠2 and ∠14 ∠3 and ∠7

What are Corresponding Angles?

Corresponding angles will always lie on the same transversal and occupy the same relative position on the two different parallel lines that are intersected by the transversal.

Therefore, from the options given, the angles that are pairs of corresponding angles given in the image are:

∠2 and ∠14 ∠3 and ∠7

Learn more about corresponding angles on:

https://brainly.com/question/2009183

What is 103% of 127?

Answers

Answer:

130.81

Step-by-step explanation:

127 ⋅ ( 103/ 100 ) =130.81

A cylinder has a volume of 659.4 cubic centimeters. The diameter of the cylinder is 10 cm. What is the height of the cylinder?
(Assume = 3.14)

A.
42 cm
B.
2.1 cm
C.
8.4 cm
D.
21 cm

Answers

The height is 8.4.

Calculated with H = V / πr^2, with H for height, V for volume, and r for radius (the diameter divided by 2).

Find the number of sides of a regular polygon if the sum of the interior angles of the
polygon is 7020

Answers

Answer:

n = 6

Step-by-step explanation:

Given the following data;

Sum of interior angles, S = 720°

Mathematically, the sum of the interior angles in a regular polygon is given by the formula;

S = 180(n - 2)

Where;

n is the number of sides.

S is the sim of the interior angles

720 = 180(n - 2)

720 = 180n - 360

180n = 720 + 360

180n = 1080

n = 6

A hat contains 3 blue and 5 black tickets.

​If one ticket is chosen at random from the hat, what is the probability that it is blue?

I WILL GIVE BRAINLIST ANSWER

Answers

Answer:

the answer is 3/8

Step-by-step explanation:

What number is halfway between 0.36 and 0.48 on a number line?

Answers

Answer:

0.42

Step-by-step explanation:

they are both multiples of 0.06

think of it like 6 x 6= 36 and 6 x 8 = 48

6 x 7 = 42 would be halfway

Answer:

0.42

Step-by-step explanation:

To find the half, add da numbers and divide by 2. So 0.36 and 0.48 added together is 0.84. That divided by 2 is 0.42.

Which choices describe a Subscript n Baseline = 4 (0.9) Superscript n? Check all that apply.

S1 = 4
S2 = 6.84
S3 = 10.156

The sequence diverges.

Answers

Answer:

b and d

Step-by-step explanation:

edge 2021

If the first term (a) is 4 and the common ratio (r) is 0.9, then the sequence diverges. Then the correct option is D.

What is a geometric sequence?

Suppose the initial term of a geometric sequence is a

and the term by which we multiply the previous term to get the next term is r

Then the sequence would look like

a, ar, ar², ar³, ...

The sequence is given below.

[tex]\rm a_n = 4 (0.9)^n[/tex]

Then the sum of the sequence will be given as

The first term (a) is 4. And the common ratio (r) is 0.9.

Then we get

[tex]\rm S_n = \dfrac{a (1 - r ^n)}{ (1 - r)}\\\\\rm S_n = \dfrac{4 (1 - 0.9 ^n)}{ (1 - 0.9)}\\\\\rm S_n = \dfrac{4 (1 - 0.9 ^n)}{0.1}\\\\\rm S_n = 40 (1 - 0.9^n)[/tex]

For n = 1, we have

S₁ = 40 (1 - 0.9)

S₁ = 40 x 0.1

S₁ = 4

For n = 2, we have

S₂ = 40 (1 - 0.9²)

S₂ = 40 x 0.19

S₂ = 7.6

For n = 3, we have

S₃ = 40 (1 - 0.9³)

S₃ = 40 x 0.271

S₃ = 10.84

If the common ratio is less than one then the sequence will diverge.

Learn more about geometric sequence here:

https://brainly.com/question/2735005

#SPJ2

Find the answer for x​

Answers

Answer:

I think the answer is 75.

Step-by-step explanation:

because 35 + 70 is equal to 105. So now we will just subtract 105 by 180. which will give us 75.

Other Questions
20 cm20 cm20 cmFind the area of the figure above.[?] cm2 Why was the Gadsden Purchase significant? How many points does a player have to win by to win the game? a 0b 2c 3d 4 People develop stereotyped concepts of masculinity and femininity. Traditionally, males were all of the following except:*AggressiveDominantStrongTalkativeneed help asp 6. Which of these phrases uses the imperative? (2 points)OCome!O What!OI ate! Find the total area round to the nearest 10th if necessary use the pi symbol on calculator could you help me with this maths problem please 10 - ____ = 9 1/8 i need to find the fraction taken away from 10 to get 9 1/8 Can somebody please help? It don't get it Which of the following are exclusively associated with copyright protection? (Select three.)Right to reproduce small excerpts of a workRight to apply for a patentRight for anyone to display a workRight to lend a workRight to use a trademarkRight to make derivatives of a workRight to reproduce a work how do i do tangent lines? Which structure produces blood cells? When high school students from the lower social classes are directed towardtechnical schools, regardless of their ability, this is known asa mainstreaming.b social integration.c the hidden curriculum.d social placement. A triangle has interior angles of 101 degrees, 65 degrees, what is the other degree? Carol has 8 3/4 yards of material. She needs to use 1/3 of the material to make a dress. How many yard of material will she need to make the dress The following two-way table shows the number of students of a school who have a cell phone and/or have a part-time job: Have Cell Phone Do Not Have Cell Phone Total Have Part time Job 40 10 50 Do Not Have Part time Job 10 40 50 Total 50 50 100 Based on the table, how many students have both a cell phone and a part-time job? (5 points) Question 14 options: 1) 10 2) 40 3) 50 4) 100 What are the characteristics of a function and how can we identify them? If is a second-quadrant angle and cos = - 2/3, then tan=a. -2 (sqrt 5)/5b. - (sqrt 5)/2c. - (sqrt 5)/3 Help! Will give out brainliest In a well-developed paragraph (six to seven sentences), describe how you think your world would be different if you were unable to see or hear.Choose any three of the following to include in your response. BE SURE TO EDIT!* Describe the things you would miss the most.* Discuss how you would communicate with your friends, your family, and others.* How do you think you would feel going out in public knowing you had an obvious disability?* How would you express your feelings and ideas? In order for a protein to be an integral membrane protein it would have to be which of the following?