Find the average rate of change
f(x)=x^2−6x+8 when x2=1 and x1=3

Answers

Answer 1

Answer:

Average rate of change for given function is: -2

Step-by-step explanation:

Given function is:

[tex]f(x)=x^2-6x+8\\x_12= 1\\x_1 = 3[/tex]

In order to find the rate of change, we have to find the value of function on x1 and x2

So,

[tex]f(x_1) = (3)^2-6(3)+8 = 9-18+8 = -1\\f(x_2) = (1)^2-6(1)+8 = 1-6+8 = 3[/tex]

The formula for finding the rate of change is:

[tex]Rate\ of\ change = \frac{f(x_2)-f(x_1)}{x_2-x_1}[/tex]

Putting the values, we get

[tex]=\frac{3-(-1)}{1-3}\\=\frac{3+1}{-2}\\=\frac{4}{-2}\\= -2[/tex]

Hence,

Average rate of change for given function is: -2

Answer 2

Answer:

Average rate of change for given function is: -2

Step-by-step explanation:


Related Questions

Evaluate
2-8÷-2-3-12÷-6×-2

Answers

Answer:

7

Step-by-step explanation:

2-8÷-2-3-12÷-6×-2

2 - -4 - 3 - 2 x -2

2 + 4 + -3 - -4

6 + -3 + 4

3 + 4

7 :)

Find the measure of

Answers

Answer:

119 is the answer

Step-by-step explanation:

use sum of angles on a straight line

Answer:

is the 3 one (119)

Because we all know that (B) is equal to 62 and (AB is 57 and if you add 62 + 57 = 119

can someone help me on this please :) ​

Answers

9514 1404 393

Answer:

x = 6y = 18

Step-by-step explanation:

The applicable rules of exponents are ...

  (a^b)/(a^c) = a^(b-c)

  (a^b)^c = a^(bc)

__

  [tex]\left(\dfrac{a^3b^4}{a^2b}\right)^6= (a^{3-2}b^{4-1})^6 =a^{1\cdot6}b^{3\cdot6}=\boxed{a^6b^{18}}[/tex]

Comparing to the given form, we see x=6, y=18.

Erwin earns $ 2 , 100 per month. Her deductions amount to 26 % of her paycheck. How much does Erwin take home each month?

Answers

Answer:

Credit ⇒ 45

Debit ⇒ $30

Step-by-step explanation:

Credit = $45

Debit = $30

When an account balance increases it means that it has been credited and when it decreases, it has been debited.

The beginning balance here is $0 and the closing balance is $15.

There were 2 transactions, one credit and one debit.

For the closing balance to be $15, the Credit amount must have been $15 more than the Debit amount.

1/3 divided by 4
2/5 divided by 4
4/7 divided by 4
2/5 divided by 3
5/6 divided by 5
5/8 divided by 10

Answers

1. 1/3 divided by 4 is 0.0833
2. 2/5 divided by 4 is 0.1
3. 4/7 divided by 4 is 0.1428
4. 2/5 divided by 3 is 0.1333
5. 5/6 divided by 5 is 0.1666
6. 5/8 divided by 10 is 0.0625

Answer:

1. 0.0833

2. 0.1

3.  0.1428

4.  0.1333

5. 0.1666

6.  0.0625

chloe is 5 feet 4 inches tall. there are 2.54 centimeters in 1 inch. what is chloe's height in centimeters?

Answers

Answer:

Her height would be 162.56 centimeters tall.

Step-by-step explanation:

There are 12 inches in 1 foot so that would mean that 1 foot has 30. 48 centimeters.

30.48 x 5 = 152.4

Add the 4 extra inches so 4 inches in centimeters is 10.16

152.4 + 10.16 = 162.56

Summer (starting from rest) runs from the 20 m mark to the 35 m mark with an acceleration of .5 m/s2. What is her final velocity?​

Answers

the answer to your question is .5 x 25 over 20

If Summer (starting from rest) runs from the 20 m mark to the 35 m mark with an acceleration of 5 m/s². then 12.25 m/s is the final velocity.

What is Velocity?

Velocity is the distance covered by an object in unit time.

Given that,

Summer (starting from rest) runs from the 20 m mark to the 35 m mark with an acceleration of 5 m/s²

a=0.5 m/s²

s is distance=35-20=15

We have a formula with velocity, acceleration and distance

Now v²=2as

Here v is velocity=2

a is acceleration=5

s is the distance.=15

v²=2×5×15

The multiplication value of 2×5×15 is 150.

v²=150

Take square root on both sides

v=√150

v=12.25 m/s

Therefore final velocity is 12.25m/s.

To learn more on velocity click:

https://brainly.com/question/18084516

#SPJ2

HELP ME PLEASE I NEED HELP

Answers

try the other answer.

Answer:

a. x=2

b. y=5

Step-by-step explanation:

a. 2(11x+7)=58

22x+14=58

x=2

b. 16y+10=90

16y=80

y=5

I need help with this please!! ​

Answers

Answer:

[tex] {6x}^{3} + {9x}^{2} - 18x + 3[/tex]

Step-by-step explanation:

1. Expand by distributing sum groups.[tex]3x( {2x}^{2} + 5x - 1) - 3( {2x}^{2} + 5x - 1)[/tex]

2. Expand by distributing terms.

[tex] {6x}^{3} + {15x}^{2} - 3x - 3( {2x}^{2} + 5x - 1)[/tex]

3.Expand by distributing terms.

[tex] {6x}^{3} + {15x}^{2} - 3x - ( {6x}^{2} + 15x - 3)[/tex]

4. Remove parentheses.

[tex] {6x}^{3} + {15x}^{2} - 3x - {6x}^{2} - 15x + 3[/tex]

5. Collect like terms.

[tex] {6x}^{3} + {15x}^{2} - {6x}^{2} ) + ( - 3x - 15x) + 3[/tex]

6. Simplify.

[tex] {6x}^{3} + {9x}^{2} - 18x + 3[/tex]

Thus. the answer is,

[tex] {6x}^{3} + {9x}^{2} - 18x + 3[/tex]

How do I do this I need help right now

Answers

To answer this (specifically the first one) you have to count how many spaces each point moves. (How many spaces up/down does it go? Left/right?) then you put rise (up/down) over run (left/right) and you should get the slope!

The four walls and the ceiling of a cubical room need to be painted. If the height of the room is 4 m , and painting costs ₹ 20/m2 20 / m 2 , what is the total cost of painting the room?

Answers

Answer:

₹ 1920

Step-by-step explanation:

Since the room is cubical in nature, we will find the total surface area of the room

Total surface area of the cubical room = 6L²

L is the length of one side of the room

Given

L = 4m

Total surface area of the cubical room = 6(4)²

Total surface area of the cubical room = 6×16

Total surface area of the cubical room = 96m²

If the painting costs ₹ 20/m², this means;

₹ 20 = 1m²

For the total room:

x = 96m²

Divide both expressions

20/x = 1/96

x = 20×96

x = 1920

Hence the total cost of painting the room ₹ 1920

Solve for x. 5 = 1/5x -3​

Answers

Answer:

40.

Step-by-step explanation:

5=1/5x-3

8=1/5x

40

Brainliest PLS

A Petri dish is growing bacteria. It starts with 3 cells on day 1, 9 cells on day 2, and continues tripling the number of cells every day after that. How many cells of bacteria are there on day 5? 3 5 5 3 15 18

Answers

Answer:

243

Step-by-step explanation:

Given that:

Day 1 = 3

Day 2 = 9

After the 2nd day, number of cells continue to triple ;

Day 3 = 9^3

P(t) = 9 * 3^3

P(t) = 9 * 27

= 243

8 * 6 + (12-4) / 2 equals to what

Answers

Answer:

52

Step-by-step explanation:

Simplify the expression (Steps shown below).

Write this whole number as a product of prime numbers.
56

Answers

Answer:

The prime factorization of 56 is 2 * 2 * 2 * 7. This can also be written with exponents as 2^3 * 7.

Step-by-step explanation:

The cost of hot drinks in a cafe is shown

Answers

Answer:

???? there's no attachment.

Step-by-step explanation:

Which graph shows a linear function?

Answers

Answer:

I this that its the third graph

Scientists are drilling a hole in the ocean floor to learn more about the Earth's history Currently, the hole is in
the shape of a cylinder whose volume is approximately 4200 cubic feet and whose height is 4.3 miles. Find
the radius of the hole to the nearest hundredth of a foot. (Hint: Make sure the same units of measurement are
used.)
The radius of the hole is
feet. (Round to the nearest hundredth.)

Answers

Answer:

The radius of the hole is 0.24 feet

Step-by-step explanation:

Firstly, we need to convert the miles to feet

Mathematically;

1 mile = 5,280 feet

4.3 miles is thus;

4.3 * 5,280 = 22,704 feet

Mathematically, the volume of a cylinder is;

V = pi * r^2 * h

here, we want to get r

4200 = 3.142 * r^2 * 22,704

r^2 = 4200/(3.142 * 22,704)

r = 0.24 feet

Simply each expression
1) 2x+5-3x
2) -(w-2)

Answers

Answer:

1) -x+5

2)-w+2

Step-by-step explanation:

2x+5-3x Combine.

-x+5

-(w-2)

-w+2

Work out these approximate conversions. 8 miles=..... km​

Answers

Answer:

12.87 km

Step-by-step explanation:

searched it up

a car travels 180 miles in 3 hours at this rate how many miles will the? car travel in 6 hours ?

Answers

It will cover 360 miles in 6 hrs

Hope this helps

Pls give me BRAINLIEST

What are all the variables of x y and z ?

Answers

Answer:

x°=96°

y°=88°

z°=151°

Step-by-step explanation:

55°+29°+×°=180°

×°=96°

96°+55°=z°

z°=151

then let variable A° be one of the inner angle of the triangle

A°+z°=180°

A°+151°=180°

A°=29°

finally adding all the inner angles will give us 180°

96°+y°-13°+29=180°

y°=88°

Are the ratios 1:2 and 8:20 equivalent?

Answers

Answer:

Nah

Step-by-step explanation:

8:20=2:5

1:2 is not equal to 2:5

what does it mean by a variables​

Answers

Answer:

variables

Step-by-step explanation:

variables are constantly variating to contour to the problem it is being used in like in rentals, the variable is the amount of hours rented and the constant is the price it's being rented for

For the model to scale, the ratio of the height to the side length should be the same for both the actual pyramid and the model. Is the model of Khufu's pyramid to scale? If not, is it close?

PLEASE HELP. I WILL MARK YOU BRANLIEST​

Answers

Answer:

Scale Model of the Great Pyramid

You can build a model of the Great Pyramid, but first you need to scale it down. To do this, you will need to

make the pyramid 3,000 times smaller than it really is! To achieve that, every 30 meters of the pyramid is

represented as 1 centimeter.

Step-by-step explanation:

I need help ASAP! picture below is what I need​

Answers

Answer:

Evaluating the piecewise function when X =3, we get f(3) = 7

Step-by-step explanation:

Given the following piecewise function

f(x)= { 2x+1; where x > 0

         -3 when x ≤ 0

Evaluate the function when X = 3

We will evaluate f(x) =2x+1 where x > 0, because x = 3 and 3 <0

We can't use -3, because x ≤ 0, and 3 is not less than 0.

Now, evaluating the function:

[tex]f(x)=2x+1\\Put\:x=3\\f(3)=2(3)+1\\f(3)=6+1\\f(3)=7[/tex]

So, Evaluating the piecewise function when X =3, we get f(3) = 7

Your kite is stuck in a tree that is 40 feet tall. The angle your string makes with the ground is 72°. Rather than worrying about the kite, you decide to calculate how much string you have let out. Assuming the string is held tight and makes a straight line to the ground, how much string have you let out?

Answers

Answer:

42 feet of string

Step-by-step explanation:

First, draw a diagram of the string, the height and the angle.

the length of the string is equal to the hypotenuse of the triangle

let length of the string=x

sin(θ)=opp/hyp

sin(72°)=40ft/x

x=40ft/sin(72°)

x=42.05848897ft≈42ft

I don’t understand this

Answers

Answer:

3 to 1

Step-by-step explanation:

The scale factor is the ratio of corresponding sides, image to original, that is

OA' : OA

= 27 : 9 ( divide both parts by 9 )

= 3 : 1

What is this problem: It is also a rational function. 6 / x^2 - 9 - 1 / x - 3 = 1 Answers: A) -1+-sqr(73) / 2 B)-4 C)2 D)3 or -4

Answers

Answer:  B)-4

Step-by-step explanation:

The given equation: [tex]\dfrac{6}{x^2-9}-\dfrac{1}{x-3}=1[/tex]

Using identity: [tex]a^2-b^2=(a-b)(a+b)[/tex]

[tex]\dfrac{6}{(x-3)(x+3)}-\dfrac{1}{x-3}=1\\\\\Rightarrow\ \dfrac{6-(x+3)}{(x-3)(x+3)}=1\\\\\Rightarrow\ \dfrac{6-x-3}{(x-3)(x+3)}=1\\\\\Rightarrow\ 3-x=(x-3)(x+3)\\\\\Rightarrow\ (-1)(x-3)=(x-3)(x+3)\\\\\Rightarrow\ -1=x+3\\\\\Rightarrow\ x=-1-3=-4 \ \ \ [x\neq3][/tex]

Hence, the solution is : x=-4

The correct option is B.

PLEASE HELP | WILL GIVE BRAINLY IF RIGHT | LOOK AT IMAGE

Answers

Answer:

Town C

Step-by-step explanation:

the answer is town C
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