the function is graphed below. On which interval of X is the average rate of change of the function the greatest?

The Function Is Graphed Below. On Which Interval Of X Is The Average Rate Of Change Of The Function The

Answers

Answer 1

Answer:

Between x = 48 and x = 45.

Step-by-step explanation:

Average rate of change of a function in the given interval is represented by,

Average rate of change = [tex]\frac{\triangle y}{\triangle x}[/tex]

From the table attached,

Average rate of change of the function between x = 3 and x = 9

= [tex]\frac{16-7}{9-3}[/tex]

= 3

Average rate of change in the interval x = 9 and x = 22

= [tex]\frac{32-16}{22-9}[/tex]

= [tex]\frac{16}{13}[/tex]

= 1.23

Average rate of change in the interval x = 9 and x = 22,

= [tex]\frac{45-32}{45-22}[/tex]

= [tex]\frac{13}{23}[/tex]

= 0.57

Average rate of change in the interval x = 45 and x = 48,

= [tex]\frac{63-45}{48-45}[/tex]

= 6

Therefore, average rate of change is maximum between x = 45 and 48.

Option given in bottom right will be the answer.


Related Questions

Factorise fully
-12a - 16

please do quick, first to answer marked brainiest!!​

Answers

Answer:

-4( 3a+4)

Step-by-step explanation:

-12a - 16

-4*3a -4*4

Factor out a -4

-4( 3a+4)

Write thirty divided by five 3 ways

Answers

Answer:

30 divided by 5

[tex]\frac{30}{5}[/tex]

5⟌30

Hope this helps!

Please help thank you

Answers

Answer:

1/144

Step-by-step explanation:

You multiply the top and bottom by itself because its to the second and you get rid of the negative because negative multiplied by a negative is positive

Does anyone know what the slope equation is for this graph. PLz explain if you can. Ty!

Answers

Answer:   y = (-3/2)x+3

In decimal form, this is y = -1.5x+3

=========================================

Explanation:

Start at (0,3). Move three units down and two units to the right to get to (2,0)

slope = rise/run

slope = -3/2

rise = -3 = go 3 units down

run = 2 = go 2 units to the right

--------------------------

We could use the two points (0,3) and (2,0) in the slope formula below

m = (y2-y1)/(x2-x1)

m = (0-3)/(2-0)

m = -3/2

So this is another way to see the slope is -3/2

--------------------------

The y intercept is where the graph crosses the vertical y axis. In this case, it's at 3. So b = 3

Using m = -3/2 and b = 3, we go from y = mx+b to y = (-3/2)x+3 which is equivalent to y = -1.5x+3

Answer:

[tex]y=-\frac{3}{2} x+3[/tex]

Step-by-step explanation:

I don't really know how to explain this, but I hope the graph helps some.

I hope this helps you! (✿◕‿◕✿)

Which set of ordered pairs represents a function?
o{(1,3) (2,5) (4,9) (4, 13)}
o{(1,3) (1,5) (4, 9) (6,3)}
o {(1, 3) (2,5) (2, 9) (6, 13)}
O {(1,3) (2,5) (4, 9) (6,5)}

Answers

Answer:

The answer is D

Step-by-step explanation:

A state makes license plates with five letters followed by one number with no repetitions of the letters permitted. How many different possibilities are there

Answers

Answer:

78936000 possible selections

Step-by-step explanation:

Given

Letters = 5

Digits = 1

Required

Possible number of selection.

Since the letters can't be repeated and there are 26 alphabets.

The first letter can be any of 26

The second = 25

The third = 24

The fourth = 23

The fifth = 22

The digit can be any of 0 - 9 (10 digits).

So.

The possible number of selection is.

Number = 26 * 25 * 24 * 23 * 22 * 10

Number = 78936000

A rectangular garden is fenced on all sides with 262 feet of fencing. The garden is 9 feet longer than it is wide. Find the length and width of the garden.

Answers

9514 1404 393

Answer:

70 ft long61 ft wide

Step-by-step explanation:

Let w represent the width of the garden. Then w+9 represents the length. The perimeter is given by the formula ...

  P = 2(L+W)

Filling in the known information, we have ...

  262 = 2((w+9) +w)

  131 = 2w +9 . . . . . . . divide by 2

  122 = 2w . . . . . . . . . subtract 9

  61 = w . . . . . . . . . . . divide by 2 (width)

  w+9 = 70 . . . . . . . . length

The length of the garden is 70 feet; the width is 61 feet.

this is an assignment for my son who is having trouble doing the steps to solve these math problems.

Answers

Answer:

B, C, B, A, B

Step-by-step explanation:

Recall soh cah toa

sin - > soh     sin(ANGLE) = opposite/hypotenuse

cos -> cah     cos(ANGLE) = adjacent/hypotenuse

tan -> toa      tan(ANGLE) = opposite/adjacent  

(letters correspond)

7) They ask for sinX, meaning we need to apply soh

sinX = opposite/hypotenuse

sinX = 30/34 = 15/17

B

8)

tan(ANGLE) = opposite/adjacent  

tanZ = 12/35

C

9)

cos(ANGLE) = adjacent/hypotenuse

cosZ = 36/45 = 4/5

B

10 + 11 are attached. Hopefully, you understand. Have a nice day :)

Can you simplify -6/0 ?

Answers

Answer:

It can also be termed as "undefined".

Step-by-step explanation:

Hope that this post has helped you out in some way! :)

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Answers

Answer:

A. 7^4

Step-by-step explanation:

When dividing exponents or monomial, you just basically subtract the exponents to get your answer.

Answer:

i think the  answer is B, [tex]7^{12}[/tex]

Step-by-step explanation:

sorry if wrong, Hope it helps!

Choose the expression that best represents the phrase below. The number of acorns split evenly among 5 squirrels

Answers

Answer:

Step-by-step explanation:

The correct answer is, "a divided by 5"

PLEASE SOLVE! WILL GIVE BRAINLIEST FOR FIRST RIGHT ANSWER (WITH EXPLANATION, NOT WITHOUT). *Explanation doesn't need to be big.

In the figure it is impossible to measure segment AB. So point C is drawn, forming ∆ABC, where sides AC and BC can be measured. Segments AC and BC are extended, resulting in segments AD and BE, where C is the midpoint of both. Prove ED is congruent to AB.

△ABC≅△___ by reason _____ (AAA, ASA/SAA, Cannot Be Determined, SAS, SSS)

Answers

Answer:

Step-by-step explanation:

From the given picture,

AD and BE are the lines intersecting at a point C.

Point C is the midpoint of these lines.

From ΔABC and ΔDEC,

AC ≅ CD

CE ≅ CB

And ∠ABC ≅ ∠DEC [Vertical angles]

Therefore, ΔABC ≅ ΔDEC [By SAS property of congruence]

And AB ≅ ED [Since, ΔABC ≅ ΔDEC]

48minutes to 1hour
This is a ratio plz simplify it

Answers

Answer:

48/60=24/30=15/12=4/5 or 4:5

So your final answer is 4/5 or 4:5

Step-by-step explanation:

If f(x) = (1\7)(7x), what is f(3)?

Answers

Answer:

3

All the steps are in the picture below.

Which measure is equivalent to 126 in.?



1 ft = 12 in.

1 yd = 3 ft

Answers

Answer:

3.5 yd is your answer

Step-by-step explanation:

First, change in. to ft. Note that the measurement given to you is that 1 ft = 12 in.

Divide the amount of inches you have with 12.

126/12 = 10.5

Next, solve for yards. It is given to you that 1 yard = 3 feet.

Divide the amount of feet you have with 3.

10.5/3 = 3.5

3.5 yd is your answer

You measure the mass of a book and it’s 420.0890g how many significant digits are in the measurement

Answers

9514 1404 393

Answer:

  7

Step-by-step explanation:

All of the digits in the given number are significant. There are 7 significant digits.

__

Comment on other cases

When there are non-zero digits to the left of the decimal point in a number with a decimal point, all of the digits are significant.

When there are no non-zero digits to the left of the decimal point, leading zeros are not significant. All digits following the leading zeros are significant.

In a number with no decimal point, the leading and trailing zeros are not significant.

If the number is written in scientific notation, all digits of the mantissa are significant. (This can be a way to ensure the correct number of significant digits is known in a number with trailing zeros.)

HELP MEEEE

Solve 1.43p + 2.2 = -4.001. Round your answer to the nearest hundredth. Show your work.

Answers

Answer:

p = -4.33636363636

Step-by-step explanation:

subtract 2.2 from -4.001 which equals -4.001-2.2=-6.201 and divide -6.201 by 1.43p and that equals -4.33636363636 so p = -4.33636363636

What is the slope of (-7,-1) and (3,8)? Pls show your work

Answers

Answer:

[tex]m=\frac{9}{10}[/tex]

Step-by-step explanation:

To find the slope between any two points, we can use the following slope formula:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Let (-7, -1) be (x₁, y₁) and let (3, 8) be (x₂, y₂). Substitute them into the slope formula:

[tex]m=\frac{8-(-1)}{3-(-7)}[/tex]

Evaluate:

[tex]m=\frac{9}{10}[/tex]

Therefore, the slope between the two points is 9/10.

832 divided by 12
i also have to show my work in 2 different ways

Answers

Answer: 69

Step-by-step explanation:

duhhhhhhhhhhhh

A ballon is released from the top of a building. The graph shows the height of the balloon over time. What does the slope and y-intercept reveal about the situation?

Answers

the more time elapsed the higher the balloon gets.

a package of 4 pairs of isulated gloves costs $33.96. what is the unit price of gloves​

Answers

Answer:

8.49 per pair/pack of gloves

Step-by-step explanation:

i got this by taking 33.96 divided by 4 so i could find out how much for one pair

Roger and Rita each drive at a constant speed between Phoenix and San Diego. Each driver's distance for the

same section of the trip is displayed below.

Who had a head start, and how many miles was the head start?

Rita's Drive

y

(4, 288)

280-

Roger's Drive

240

Time (hr)

Distance (mi)

(3,223)

200-

1

65

160-

• (2, 158)

2

130

Distance (mi)

120-

3

195

(1,93)

80-

4.

260

40-

0

0

Time (hr)

Who Had the head start?

Answers

Answer:

hello your question is poorly written and the required options to the question is missing

options :  

Rita had a 28-mile head start.

Roger had a 26-mile head start.

Roger had a 25-mile head start.

Rita had a 22-mile head start.

Answer : Rita had a 28-mile head start

Step-by-step explanation:

From the information given about the distance each driver has for the same section of the trip it can be conclude that Rita has a head start and this head start is by 28 miles

Answer:

a

Step-by-step explanation:

edge 2021

Need help on angle measured geometry

Answers

12x+17=15x
-12x to each side
17=3x
X=17/3 or 5and2/3
17/3=15x
(17/3)/15
x = .37777
FINAL AWNSER = 37 degrees

pls tell meeeeeeeeeeeeee

Answers

Girl you just have to divide 128 and 8

12% of 72 is what number

Answers

Answer:

8.64

Step-by-step explanation:

8.64

[tex]12\;percent\;of\;72=8.64[/tex]

ASAP!!! PLEASE HELP
10 points

Answers

This is the answer hope you get it :)

There are 27 students in a class one third of the students are boys how many students are girls

Answers

Answer:

18 students are girls.

Step-by-step explanation:

Answer: The answer would be 18 girl students

Step-by-step explanation:

If one 3rd of the students are boys, divide 27 by 3 and you get 9, 9 times 2 equals 18, the other nine students are the boys, while there are 18 girls.

the decimal equivalent 3/5 is a repeating decimal true or false?

Answers

Answer: false

Step-by-step explanation:

3/5 in a decimal is 0.6. overall 0.6 is not an repeating decimal.

True, the decimal equivalent of 3/5 is a repeating decimal.

We have,

The concept used to determine whether the decimal equivalent of 3/5 is a repeating decimal is the division of the numerator (3) by the denominator (5) to obtain the decimal representation.

When we divide 3 by 5, we get a decimal value of 0.6. However, since the division does not terminate or end, and the digit 6 repeats indefinitely, we conclude that it is a repeating decimal.

This concept involves understanding the nature of the decimal representation and recognizing repeating patterns.

Thus,

True, the decimal equivalent of 3/5 is a repeating decimal.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ6

Your brother asked you to help him build a bookcase for your next-door neighbor. Since he is doing most of the work, you get 3 dollars for every 5 dollars he makes. He got paid 67 dollars. How much did you get paid?

Answers

Answer:

So, friend Let me solve the question for you :

let's use disturbutive property

67 x 5 - 67 × 3

67 × (5-3)

67 ×2 = 134

Step-by-step explanation:

Hope it. helps PISas Markbrainliest

Answer:

You got paid $40.20

Step-by-step explanation:

First let's find out how many 5's they gave him:

$67 (brother's money) ÷ 5 = 13.4 (how many times they paid him)

Now we find out how much money they gave you:

$3 (how much they give you) x 13.4 = $40.20 (your total money)

Write the equation of a line in point Slope form that passes through the points (-8,-3) and (2,2)

Answers

Answer:

The midpoint of the points (2,8) and (0,4) is given by:

(

2

x

1

+x

2

,

2

y

1

+y

2

)=(

2

2+0

,

2

8+4

)=(

2

2

,

2

12

)=(1,6)

We must must transform the standard form equation −3x+6y=5 into a slope-intercept form equation (y=mx+b) to find its slope.

−3x+6y=5 (Subtract 3x on both sides.)

6y=3x+5 (Divide both sides by 6.)

y=

6

3

x+

6

5

y=

2

1

x+

6

5

The slope of our first line is equal to

2

1

. Perpendicular lines have negative reciprocal slopes, so if the slope of one is x, the slope of the other is

x

1

.

The negative reciprocal of

2

1

is equal to −2, therefore, −2 is the slope of our line.

Since the equation of line passing through the midpoint (1,6), therefore, substitute the given point in the equation y=−2x+b:

6=(−2×1)+b

6=−2+b

b=6+2=8

Substitute this value for b in the equation y=−2x+b:

y=−2x+8

Hence, the equation of the line is y=−2x+8.

Step-by-step explanation:

make me as brain liest

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