What is the average rate of change of f(x)=x²+4x+4 from x=1 to x=3?​

Answers

Answer 1

Answer:

F(3) - F(1) / (3-1)

(3^2 + 3*4 + 4) - (1^2 + 1*4 + 4) / (2)

(9+12+4) - (1+4+4) / (2)

(25)-(9)/(2)

(16)/(2)

8

Step-by-step explanation:


Related Questions

Which mixture would taste different? Mixture 1: 1 cup water, 1.5 teaspoons drink mix Mixture 2: 2 cups water, 1/2 teaspoon drink mix Mixture 3: 1 cups water, 1/4 teaspoon drink mix Mixture 1 Mixture 2 Mixture 3

Answers

Answer:

Drink 1 will taste different.

Step-by-step explanation:

Given the mixtures:

Mixture 1: 1 cup water and 1.5 teaspoons drink mix

Mixture 2: 2 cups water and [tex]\frac{1}{2}[/tex] teaspoons drink mix

Mixture 3: 1 cup water and [tex]\frac{1}{4}[/tex] teaspoons drink mix

To find:

Which of the mixtures will taste different?

Solution:

To answer this, we need to find the ratio of all the mixtures.

First of all, Let us make ratio of water as 1 quantity.

Ratio of 1st mixture = 1 : [tex]\frac{3}{2}[/tex]

Ratio of Mixture 2 contains 2 cups of water.

Let us divide the ratio of mixture 2 with 2, we get:

[tex]\frac{2}{2}:\dfrac{\frac{1}{2}}{2}\\\Rightarrow 1:\dfrac{1}{4}[/tex]

Ratio of 3rd mixture = [tex]1:\frac{1}{4}[/tex]

Ratio of drink mix of 1st mixture with 1 cup water is different.

So, drink 1 will taste different.

Please answer correctly !!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!

Answers

Answer :

[tex]\pink{\sf Third \: side \: of \: the \: triangle = 45}[/tex]

Solution :

As, the given triangle is a right angled triangle,

Hence, We can use the Pythagoras' Theorem,

[tex]\star\:{\boxed{\sf{\pink {H^{2} = B^{2} + P^{2}}}}}[/tex]

Here,

H = Hypotenuse of triangleB = Base of triangle P = Perpendicular of triangle

In given triangle,

Base = 24Hypotenuse = 51Perpendicular = ?

Now, by Pythagoras' theorem,

[tex]\star\:{\boxed{\sf{\pink {H^{2} = B^{2} + P^{2}}}}}[/tex]

[tex] \sf : \implies (51)^{2} = (24)^{2} + P^{2}[/tex]

[tex] \sf : \implies 51 \times 51 = 24 \times 24 + P^{2} [/tex]

[tex] \sf : \implies 2601 = 576 + P^{2}[/tex]

[tex] \sf : \implies P^{2} = 2601 - 576[/tex]

[tex] \sf : \implies P^{2} = 2025[/tex]

By squaring both sides :

[tex] \sf \sqrt{P^{2}} = \sqrt{2025}[/tex]

[tex] \sf : \implies P^{2} = \sqrt{2025}[/tex]

[tex] \sf : \implies P^{2} = \sqrt{(45)^{2}}[/tex]

[tex] \sf : \implies P^{2} = 45 [/tex]

[tex]\pink{\sf \therefore \: Third \: side \: of \: the \: triangle \: is \: 45}[/tex]

━━━━━━━━━━━━━━━━━━━━━

Callum and Isobel have a total of 240 stamps.
The ratio of the number of Callum’s stamps to the number of Isabel’s stamps is 3:8.
Callum buys some stamps from Isabel.
The ratio of the number of Caullum’s stamps to the number of Isabel’s stamps is now 3:2
How many stamps does Callum buy from Isabel?
You must show all your working.

Answers

Answer:

callum bought 78.6 stamps

solve What is 13.789 rounded to the nearest tenth?

Answers

Answer:

13.8

Step-by-step explanation:

8 is greater than 4 so you round up and get 13.8

A woman is 5ft tall and her shadow is 4ft king. A nearby tree has a shadow of 30 ft long. How tall is the tree

Answers

Answer:

37 feet and 5 inches

Step-by-step explanation:

Answer:  40 ft tall

Step-by-step explanation:

you would mutiply it

A detergent company is trying to find a new stain remover ingredient to put in its detergent. Company managers know that baking soda or bleach will be used. The also know that water temperature, cold and warm, affects the stain removal process. An experiment will compare all combinations of these choices. Four types of stains on the same fabric will be subjected to each treatment and scored for stain removal quality. What is the experimental unit?

A: the fabric
B: the baking soda and bleach
C: the temperature of the water
D: the detergent
E: The Stains​

Answers

Answer:

C.

Step-by-step explanation:

because they can pick bleach or bakeing soda the stans are going to come off either way but either\or hot and cold water affects it so they have to find out which of the water affects it not which of the prodocts does

If u want help on that watch Bill Nye the science guy. He does the best science experiments

10.Adrienne is going to deposit $8,500 in an account that earns 2.5% interest for 360 months. How much more interest will she earn if the account earns annual compound interest rather than annual simple interest?

Answers

Answer:

Difference= $3,090.15 in favor of compounded interest

Step-by-step explanation:

Giving the following information:

Present value (PV)= $8,500

Ineterest (i)= 0.025/12= 0.00208

Number of periods (n)= 360 months

We will calculate the future value of each option and determine the difference:

Simple interest:

FV= (PV*i*n) + PV

FV= (8,500*0.00208*360) + 8,500

FV= $14,864.8

Compounded interest:

FV= PV*(1+i)^n

FV= 8,500*(1.00208^360)

FV= $17,958.95

Difference= $3,090.15

Hi! whats 6666666 × 727272772​

Answers

Answer: 4.8484847e+15

Step-by-step explanation:

Answer:

6666666 × 727272772​ = 4,848,484,661,818,152

Does the table below show a linear or exponential function?


X 0 1 2 3
Y 70 49 28 7

Answers

Answer:

following! not to sure what the answer is

Step-by-step explanation:

What is the domain of f(x)=
10x1-(4)
?

Answers

Answer:

Domain:(−∞,∞),{x|x∈R}

Step-by-step explanation:

^^^ this too please

Answers

I believe the measurement of CD is 90 degrees

-2=3+v
Help please ty very much

Answers

Answer:

v = -5

Step-by-step explanation:

to get v by itself, you must subtract 3 from both sides, not only to cancel out the positive 3 but to keep both sides equal. this leads to -5 = v so that's your answer.

Answer:

Your answer is: [tex]V= -5[/tex]

Solve for  v  by simplifying both sides of the equation, then isolating the variable.

Step-by-step explanation:

Hope this helped : )

Proportions - 5/10
earn 5 coins
A recipe needs 2 tablespoons of vegetable oil for every cup of flour. If you plan to use 3 cup
Flour, how much vegetable oil will you need?

Answers

Answer:

2 t / 1 c

2/1=x/3

6=x

6 tablespoons

Answer:

8 Tablespoons trust me.

Step-by-step explanation:

yo cheyla2004 i really need your help my small brain cant comprehand this but what is 8+1+1

Answers

Answer:

The answer is 10

Step-by-step explanation:

A man drove his car a distance of 260 miles in 4 hours. If continuing at this rate is possible, he will travel ____ miles in 8 hours. Someone pls help im sooo behind in maths and im really confused

Answers

Answer:

...520 miles

Step-by-step explanation:

if he keeps the same pace then you can just put two and two together 260 + 260 = 520 (seems too easy so sorry if im wrong)

PLEASE ANSWER THIS ASAP !!!!!!

Answers

Answer:

y = - x

Step-by-step explanation:

The equation of a line passing through the origin is

y = mx ( m is the slope )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 2, 2) and (x₂, y₂ ) = (2, - 2) ← 2 points on the line

m = [tex]\frac{-2=2}{2+2}[/tex] = [tex]\frac{-4}{4}[/tex] = - 1 , thus

y = - x ← equation of line

A baker is putting cupcakes on trays to cool. She put 2 cupcakes on the first tray, 4 cupcakes on the second tray, 8 cupcakes on the third tray, 16 cupcakes on the fourth tray, and 32 cupcakes on the fifth tray. If this pattern continues, how many cupcakes will the baker put on the sixth tray?

Answers

Answer:

64 cupcakes

Step-by-step explanation:

Tray 1 = 2 cupcakes

Tray 2 = 4 cupcakes

Tray 3 = 8 cupcakes

Tray 4 = 16 cupcakes

Tray 5 = 32 cupcakes

Tray 6 = ?

This is a geometric progression

First term, a = 2

Common ratio, r = 4/2

= 2

6th term = ar^n-1

= 2 × 2^6-1

= 2 × 2^5

= 2 × 32

= 64

The 6th tray will have 64 cupcakes

Simplify 5 - 2 · 3 + 4.

Answers

5 because PEMDAS 2 times 3 6 then A add 6 + 4, 10 S subtract 10-5=5 answer is 5

Answer:

3

Step-by-step explanation:

5-2x3+4

Choose the situation in which the use of approximate numbers is most appropriate.
A)
planting trees in your yard
B)
ordering chairs for a kitchen table
purchasing barbeque to serve at a party
D
ordering uniforms for the high school basketbalt team

Answers

I good with D because i think it’s for Sure the right answer

Answer:

I would say that A  is your answer.

I think this because you would not need to have any specific number of trees in your yard, but you would need a specific number of things for all of your other options.

Step-by-step explanation:

You probably wouldn't approximate on how many chairs you put in a kitchen. What if you have a 5-member family and you aproxomate the chair number to 4. that would be useless so B is wrong.

C is wrong because you are only getting 1 barbaque. no approximation is nessisary for one item.

D is certainly wrong because you wouldn't want to leave out a uniform, that would mean one member of the basketball team may not get one.

19,212 x 10*2 =
92.3
1932
Help please

Answers

Please make sure your question is formatted correctly and ill answer it for you.

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

Answers

Answer:

x = -9/23 or y = -33/23 = -1 10/23

Step-by-step explanation:

Please mark brainliest.

Answer:

x= -9/23

y= -3/33

Step-by-step explanation:

(567)3-a=(678)
What does a equal

Answers

Answer:

[tex]a=1023[/tex]

Step-by-step explanation:

[tex]We\ are\ given:\\(567)3-a=678\\Hence,\\1701-a=678\\1701-678=a\\1023=a\\a=1023[/tex]

PLEASE HELP FAST I WILL GVIE BRAINLIST AND EXTRA MARKS FOR CORRECT ANSWER! THANKS

Answers

Answer:

f(-2) = 2

Step-by-step explanation:

Look at the graph and find -2 on the x-axis and see what the y-coordinate is on the line where x is -2. When you do this, you can see that where x is -2, y is 2.

So basically it wants the y-value :)

Answer:

1.25

Step-by-step explanation:

the answer is 1.25. To get that, I found the slope, wrote the equation in point slope form, and then I calculated when the f(x) function hits the line

math!
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First try was incorrect
Rosa travels 20 miles per hour. How long does it take her to travel 2
miles? Your answer should be in hours, rounded to the nearest tenth.
label required
Х
x² f(x) qx x

(x) x < > TI"

Answers

Answer:

it takes her 1/10 of an hour

Step-by-step explanation:

math

PLEASE HELP AND SHOW WORK IF YOU CAN​

Answers

Answer:

c) XY > RS

= true

Step-by-step explanation:

Firstly know the meaning of each sign given

> means is greater than

= means is equal to

a)XZ > ST

XZ = 8

ST = 11 - greater

= false

b) XY = RS

Due to the angles presented, we conclude that the greater the angle, the longer the unmeasured line.

XY is longer than RS

= false

c) XY > RS

= true

d) RS > XY

RS is shorter than XY hence not greater.

= false

Which expression is equivalent to 4(7c+3)+5?




11c+7+5


28c+7+5


28c+12+5


28c+12+20

Answers

Answer:

28c+12+5

Step-by-step explanation:

taking 4 common in 28c-12 then,

28c+12+5=4(7c+3)+5

Answer:

28c+12+5

Step-by-step explanation:

4(7c+3)+5

i) distribute 4 into the parentheses

(4×7c)+(4×3)+5

= 28c+12+5

In 1933, Wiley Post flew around the world in 7 days, 18 hours. Wiley's trip would best
be described as flying around the of the earth.
a. perimeter
c. volume
d. diameter
b. area

Answers

Area is the right answer... I guess

Answer: perimeter

Step-by-step explanation:

What is the answer for (2b + 8)5 ?

Answers

Answer:

Expanded, the answer would be 10b + 40

Step-by-step explanation:

Just multiply 8 to 2b and 8

veronica has 5 more than double the number of stuffed animals than her friend mariposa. together they have 32 stuffed animals

Answers

Answer:

Subtract 32 - 5 that would give you your answer

Step-by-step explanation:

32-5=27
27 would be your answer

Find(x^3+8x^2-25x-193) divide (x-5) by using synthetic division.

Answers

Answer:

x^2+13x+40 remainder 7. (or 7/(1-5))

Step-by-step explanation:

Answer:

x² + 13x + 40 + [tex]\frac{7}{x-5}[/tex]

Step-by-step explanation:

Using Synthetic division

dividing by ( x - 5) , thus use h = 5

5 |   1    8    - 25    - 193

       ↓    5      65      200

             +       +        +

    ---------------------------------

      1     13      40       7 ← remainder  

quotient = x² + 13x + 40

Thus

[tex]\frac{x^3+8x^2-25x-193}{x-5}[/tex] = x² + 13x + 40 + [tex]\frac{7}{x-5}[/tex]

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