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

please help ill mark first eho answers brainliest

Answers

ejejnAn equilateral triangle has a perimeter of 15x3 + 33x5 feet. What is the length of each side?

I’m not good at graphs :(

Answers

Answer:

D -2/5

Step-by-step explanation:

So first you count up or down from a point, that's 2

then you'll count side to side that's 5

2/5

but this is a negative slope because it's pointing up to the left

-2/5 is the slope

Answer:

:)

Step-by-step explanation:

QS bisects <PQR. If m<PQS = 5x and m<RQS = 2x + 6, then what is m<PQR?​

Answers

Answer:

20 degrees

Step-by-step explanation:

If QS bisects Angle PQR, it would mean that Angle PQS and Angle RQS are equal

2x+6=5x

Subtract 2x on both sides

6=3x

Divide by 3 on both sides

x=2

Plug the value of x into either one of the angle measures equation

5x

5(2)=10

If they are equal to one another it would mean that the other angle would be the same measure and you would multiply it by 2

10(2)=20

Therefore 20 degrees is the answer for the measure of Angle PQR

Hope it helped :))

Help plssss plsss???????

Answers

I can't show you the graph on here but the y intercept is (0,-4) and another point would be (-3,-10) hope this helps with the question

Someone please help me I only have until January 18th to turn this in. Question: Mr Lopez picks up 2 pallets of dog food to deliver to the animal shelter. Each pallet contains 40 bags of dog food, and the dog food weighs 37 1/2 pounds pet bag. What is the total weight, in tons, of the dog food Mr. Lopez delivers to the animal shelter?

Answers

Answer:

Mr. Lopez delivers 1.5 tons of dog food to the animal shelter.

Step-by-step explanation:

Mr Lopez picks up 2 pallets of dog food to deliver to the animal shelter. Each pallet contains 40 bags of dog food, and the dog food weighs 37 1/2 pounds pet bag.

The weight of 1 bag of dog food = [tex]37\frac{1}{2}\text{ pounds }[/tex]

The weight of 40 bags of dog food = [tex]40 \times 37\frac{1}{2} =1500 \text{ pounds }[/tex]

Each pallet weighs = 1500 pounds

2 pallets weighs = 1500×2=3000 pounds.

We know that 2000 pounds = 1 ton

[tex]\frac{3000}{2000} \text{ pounds}=1.5 \text{ tons}[/tex]

Hence, Mr. Lopez delivers 1.5 tons of dog food to the animal shelter.

11. Sara borrowed *60,000 from a money lender at 15% rate of interest per annum. What is
the interest she paid after 4 years?​

Answers

Answer:

36000

Step-by-step explanation:

Given the following

Principal = 60,000

Rate = 15%

Time = 4years

Using the simple interest formula

SI = PRT/100

SI = 60000*15*4/100

SI = 600 * 60

SI = 36,000

Hence the interest paid after 4 years is 36000

Easy math but im confused (sorry)
Help with q1 and 2 please ^^​

Answers

Answer:

here............. you go...

guys i’m in a hurry please help meeee

Answers

Answer:

try both -1, if I'm wrong I am sorry

Geometry: If you are right I'll give brainliest

Answers

Answer:

Step-by-step explanation:

Looks like we both struggle with geometry

Giving brainliest!!!???

Answers

Answer:

B.

Step-by-step explanation:

Since they are talking about the weight of the box increasing I think (correct me if I am wrong) that the answer would be w.

I hope this helps :)

El señor Antonio Rodríguez compro en efectivo una televisión de plasma de $138,860.00. Le otorgan un descuento de la 20% ¿Cuanto pago por la televisión?

Answers

Answer:

$111,088

Step-by-step explanation:

Paso 1

Encuentra el descuento

Costo de la televisión de plasma = $ 138,860.00

Porcentaje de descuento = 20%

Descuento = 20% × $ 138,860

Descuento = $ 27,772

Paso 2

¿Cuánto pago por la televisión?

Esto se calcula como:

$ 138,860 - $ 27,772

= $ 111,088

Por lo tanto, la cantidad que paga por la televisión es de $ 111,088

Annie buys a surfboard online for $ 44. If shipping and handling are an additional 20% of the price, how much shipping and handling will Annie pay?
PLSSSSSSSSSSSSSSSSSSSSSSSSSS HELP BRAINLEST

Answers

Annie will pay 52$ may i have my brainliest plz

Answer:

Annie buys a surfboard online for $ 44. The shipping and handling are an additional 20% of the original price.

Amount of money she will pay for shipping and handling is

[tex]20\% \: of \: \$44 \\ \frac{20}{100} \times 44 = \frac{1}{5} \times 44 = \boxed{\$8.8}[/tex]

She should pay $8.8 for the shipping and handling.

please please please.

Answers

the possibilities are probably b, using the elimination method

PLEASE HELP ASAP i am willing 30 points


You are a high school senior with a part-time job at a retail store. Your employer pays you $9.75 per hour. Last week, you worked a total of 30 hours.

The following payroll deductions were taken from your gross pay:

Federal income tax (withholding) at 10%
Social Security tax at 6.2%
Medicare tax at 1.45%
Use the check stub below to help you think through the problem.

You are encouraged to use scratch paper or Chrome Canvas as a scratch pad. You are allowed to check your calculations with a calculator.

check stub

The amount for FEDERAL INCOME TAX for this pay period was $

Answers

567

becoz it's merits in increment

Is quadrilateral UVWX a parallelogram? Why or why not?

Answers

Answer:

C

Step-by-step explanation:

Slope of UV = 0 = Slope of XW

So UV is parallel to XW.

Slope of UX = [6-(-4)]/[-7-(-3)] = -5/2

Slope of VW = [6-(-4)]/(0-4) = -5/2

Slope of UX = Slope of VW i.e. UX is parallel to VW.

It is a parallelogram because opposite sides are parallel.

Answer:

Yes, because opposite sides are parallel.

Step-by-step explanation: I took the test

f(x) = x² + 6x+8
What is the vertex

Answers

Answer:

(-3,-1)

Step-by-step explanation:

(8x2 + 5x – 9) - (3x2 – 5x + 1) = ?

Answers

Answer:

10x

Step-by-step explanation:

What is the slope of the line that passes through (4, 12) and (5, 16)?

Answers

The slope is 4/1 aka 4!

Answer:

8/10

Step-by-step explanation:

The rise on the y axis is eight and the run on the x axis is 10

(Hope this helped)

Help me out please an thank you

Answers

it should be 54 if u want me to explain how lmk :))

Identify the angle pair given the transversal

Answers

alternate exterior

hope this helps!
Answer: Alternate exterior
Explanation: they’re on the outside and they’re on the opposite sides

A. 2
B. 3
C. 4
D. 6

i need help plzz

Answers

Answer:

4

Step-by-step explanation:

Okay, so the first step is to divide 30 and 5.  You should get 6.

Then all you have to do is divide 24 and 6.  You should get 4.

the answer is C which is 4 :))

One liter is approximately 34 fluid ounces. Which is closest to the number of liters in 280 fluid ounces

Answers

Answer:

About 8 (8.28059 to be exact)

Step-by-step explanation:

How much interest is earned when the principal amount is $250, the annual simple interest rate is 1%, and the number of years is 10? (

Answers

Answer:

240.1

Step-by-step explanation:

Urgent please help..

Answers

umm i think the answer is 14

Alex runs at an average speed of 10 km per hour for 1 hour 30 minutes. What distance does he run?

Answers

Answer:

15 km?

Step-by-step explanation:

10 km per hour for one hour is 10km. plus the half hour, half of the distance 5km is just 15km

HELP PLS PLS ILL MARK U BRAINLIEST

Answers

Answer:

360-(<XYZ + <WYZ)

Step-by-step explanation:

Angles around a point add up to 360°

hope it helps! please mark me brainliest

thank you! have a good day ahead

if you follow me, I will follow you back!

Which of the following equations represents a proportional relationship?
OA.
y = -4.50 + 6.25
OB.
I = 4.5
OC.
y = 6.25
OD.
y
= -4.5

Answers

Answer:

Step-by-step explanation:

OA.

y = -4.50 + 6.25

OB.

I = 4.5

OC.

y = 6.25

OD.

y

= -4.5

Rob and Matt made 55 cups of lemonade
for their lemonade stall. Rob made 7 more
lemonades than Matt.
How many lemonades did Matt make?

Answers

Answer:

Rob made 31, and Matt made 24

Step-by-step explanation:

55 in total

Rob made 7 more do 55 - 7 = 48

48 / 2 = 24

24 for Matt

24 +7 = 31

31 for rob

Answer:

24 cups of lemonade

Step-by-step explanation:

Rob made 7 more then Matt. You could say that Matt made 24 and Rob made 31 and it would be correct.

please help and show work if you can​

Answers

Answer:

7.  x = 5

8. x = 2, y = 6

9. x = 21, y = 39

Step-by-step explanation:

For a parallelogram, the lengths across intersection are equal.

7. For a parallelogram, the lengths across intersection are equal.

So that,

3x = 4x - 5

4x - 3x = 5

 x = 5

8. For a parallelogram, the lengths across intersection are equal.

So that,

2x = 4

x = [tex]\frac{4}{2}[/tex]

x = 2

and

y - 1 = 2y -7

7 - 1 = 2y - y

y = 6

x = 2, y = 6

9. For a parallelogram, opposite angles have equal value.

Thus,

3x = (4x - 21)

3x = 4x - 21

x = 21

and

3y = (y + 78)

3y = y + 78

3y - y = 78

2y = 78

y = [tex]\frac{78}{2}[/tex]

  = 39

y = 39

x = 21, y = 39

A flagpole casts a 32-foot shadow at the same time that Evan casts a 9-foot shadow. If Evan is 6 feet tall, how tall is the flagpole?

Answers

Answer:

48

Step-by-step explanation:

by dividing 9 by 6 you get 1.5 and by using distribution you also multiply 32 by 1.5 to get 48

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