Given the function defined in the table below, find the average rate of change, in simplest form, of the function over the interval 5\le x \le 75≤x≤7.

Answers

Answer 1

Answer:

[tex]Average\ Rate = 48[/tex]

Step-by-step explanation:

Given

See attachment for table

Required

Determine the average rate of change over [tex]5\le x \le 7[/tex]

Average rate of change is calculated using:

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

Where

[tex]a \le x\le b[/tex]

In this case:

[tex]a = 5;\ \ \ b = 7[/tex]

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

[tex]Average\ Rate = \frac{f(7) - f(5)}{7 - 5}[/tex]

[tex]Average\ Rate = \frac{f(7) - f(5)}{2}[/tex]

From the table:

[tex]f(7) = 108[/tex]

[tex]f(5) = 12[/tex]

The expression becomes

[tex]Average\ Rate = \frac{108 - 12}{2}[/tex]

[tex]Average\ Rate = \frac{96}{2}[/tex]

[tex]Average\ Rate = 48[/tex]

Given The Function Defined In The Table Below, Find The Average Rate Of Change, In Simplest Form, Of

Related Questions

what Should be added To -6(-p-1) to get 3p³+5p²+6p-2?​

Answers

Answer:

3p³ + 5p² - 8

Step-by-step explanation:

Given:

6p - 2

-6(-p-1) = 6p + 6

Subtract 6p + 6 from 3p³ + 5p² + 6p - 2 get your answer

= 3p³ + 5p² + 6p - 2 - (6p + 6)

= 3p³ + 5p² + 6p - 2 - 6p - 6

= 3p³ + 5p² - 8

3p³ + 5p² - 8 Should be added To -6(-p-1) to get 3p³+5p²+6p-2

BRAINLEST TO WHOEVER GETS RIGHT !!


х = [?]

Answers

Answer:

x = 20°

Step-by-step explanation:

Please help me!!!!!!!!!

Answers

it’s 45, since the bottom corner is 90, the top one is 45 bc if you turn it into a rectangle it has to be 90 also and half of that is 45, 90 plus 45 is 135 and all the angle of a right triangle make 180, so 180 minus 135 is 45
Answer: 45 maybe???

Explanation

Let x = 4. Evaluate the expression.

x−3

Answers

Answer:

Its 1

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

Subtract 3 from 4

Write 3729 correct to the nearest hundred.

Answers

Answer:

3700 is the result of rounding 3729 to the nearest 100.

Step-by-step explanation:

Answer:

3700

Step-by-step explanation:

3729

the 7 hundredth and 2 is before so you go downwards and it 3700

Which functions can have a vertex?

Answers

Answer:

quadratic functions have a vertex

Determine the intercept of the line.

Y-intercept : ( ) , ( )
X- intercept : ( ) ( )

Answers

Answer:

Y: (0) (0.4)

X: (0.3) (0)

Step-by-step explanation:

prove me wrong

PLEASE HELP IT’S TIMED

Answers

Answer:

a = -

b = -

c = 9

d = 3

e = 3

f = 2

Step-by-step explanation:

First we will solve the expression:

[tex]\frac{3x}{2x-6}+\frac{9}{6-2x}[/tex]

Solving:

First we will take negative sign common, then take LCM of denominator and simplify the expression.

[tex]=\frac{3x}{2x-6}+\frac{9}{\textbf{-}(2x-6)}\\=\frac{3x}{2x-6}+\frac{\textbf{-}9}{(2x-6)}\\Taking\:LCM\\=\frac{3x-\mathbf{9}}{2x-6}\\=\frac{\mathbf{3}(x-\mathbf{3})}{\mathbf{2}(x-3)}\\=\mathbf{\frac{3}{2}}[/tex]

So, After solving we get:

a = -

b = -

c = 9

d = 3

e = 3

f = 2

The art club has 12 members. Each member is required to buy a t-shirt that costs $12.50. On the 3rd day of the month, 9 members paid for their shirts. The remaining members paid for their shirts on the 4th day of the month. How much money was collected on the 4th day of the month?

Answers

Answer:

$37.50

Step-by-step explanation:

A piece of land is 8 1/2 miles wide. It is 4 7/8 times as long as it is wide. How long is the piece of land.

Answers

Answer:

[tex]Length = 41\frac{7}{16}[/tex]

Step-by-step explanation:

Given

[tex]Width = 8\frac{1}{2}[/tex]

[tex]Length = 4\frac{7}{8}[/tex] times as long as the width

Required

Determine the length

To do this, we simply multiply the length by [tex]4\frac{7}{8}[/tex]

So, we have:

[tex]Length = 4\frac{7}{8} * Width[/tex]

Substitute [tex]8\frac{1}{2}[/tex] for width

[tex]Length = 4\frac{7}{8} * 8\frac{1}{2}[/tex]

Convert to improper numbers

[tex]Length = \frac{39}{8} * \frac{17}{2}[/tex]

[tex]Length = \frac{39*17}{8*2}[/tex]

[tex]Length = \frac{663}{16}[/tex]

[tex]Length = 41\frac{7}{16}[/tex]

Find the Slope & Y-intercept
2x 5y = 18

Answers

Answer:

the slope is -2 and the y intercept is 18

Please help. please ​

Answers

The Jasmine result is the good one because 1 mégas meter=1 000 000

Kelsey solved the following equation 7x-1/2(8x+2)=6

Answers

Answer:

A

1. Distribution.

7x-4x-1=6

2. combine like terms

3x-1=6

3. addition  property of inequality

3x=7

4. Division property of inequality

x=7/3 or 2.3333333333333333333334

Hope this helps plz hit the crown :D

Answer:

A)

1. Distributive property 2. Combine like terms 3. Addition property of equality 4. Division property of equality

Step-by-step explanation:

A pack of pencils contain a dozen pencils.450 such packs were put in a carton. If there are 25 such cartons, find the total number of pencils.

Answers

Answer:

135000

Step-by-step explanation:

Given: A pack of pencils contain a dozen pencils. 450 such packs were put in a carton. There are 25 such cartons.

To find: total number of pencils

Solution:

Total number of pencils in a pack = 1 dozen = 12

Total number of packs = 450

Total number of cartons = 25

Total number of pencils = 12 × 450 × 25 = 135000

So, total number of pencils is 135000.

Alina bought an ice cream cone for $3. Her 4- ounce scope of ice cream is melting at rate of 0.5 ounces per minutes. Write an equation to represent the amount of ice cream left after x minutes.

Answers

Answer:

y=4-0.5x

Step-by-step explanation:

Step one:

given data

Alina bought an ice cream cone for $3

the weight of the ice cream is 4 ounce

the rate of melting is 0.5 ounce per minute

let the number of minutes taken for the ice cream to melt be x

and the weight after x minutes be y

Step two:

Hence the expression for the situation after x minutes is

y=4-0.5x

3*x+36=96 i give crown if you help me out

Answers

Answer: x = 20

Step-by-step explanation:

Hey there! If you have any questions feel free to let me know in the comments below.

Step 1: Subtract 36 from both sides.

3x = 96 - 36

Step 2: Simplify 96 - 36  to  60.

3x = 60

Step 3: Divide both sides by 3.

x = 60/3

Step 4: Simplify 60/3 to 20.

x = 20

Answer:

Step-by-step explanation:

here you go mate

step 1

3*x+36=96  equation

step 2

3*x+36(-36)=96(-36)  subtract -36 from the sides

∨ this is the number we are gonna divide with in step 3 to get our results

3x=60

step 3

3x/3=60/3  Divide by 3

answer

x=20

what is the domain of...

The answer is second pic !

Answers

Answer:

x >_ - 7

Step-by-step explanation:

Find the arithmetic mean between 35 and -9?​

Answers

the answer is 13 hope this helps

Multiply
please hurry

Answers

Answer:

95.76

Step-by-step explanation:

4.2x5.6x1.7x2.4

23.52x1.7x2.4

39.9x2.4

95.76

Answer: 72[tex]\sqrt\\ 2[/tex]

Step-by-step explanation:

1) a) Factorize: G(x) = (x+5)2 – 3x(x+5).
b) Solve G(x) = 0.
2) In the adjacent figure ABCD is a square:
a) Express the area of the square and the area
of triangle AEB in terms of x.
b) Calculate x so that the area of the square is equal
to 6 times the area of triangle AEB.​

Answers

Answer:

In bold.

Step-by-step explanation:

a.  (x+5)^2 – 3x(x+5)     x+5 is common

= (x + 5)(x + 5 - 3x)

= (x + 5)(5 - 2x)

b.  (x + 5)(5 - 2x) = 0

x = -5, 2.5.

2a.   Area of the square = (x + 5)^2

Area of triangle AEB

= 1/2 * base * height  

I am assuming that  H is the centre of AB , so

Area = x*x

= x^2.

2b

6x^2 = (x + 5)^2

6x^2 = x^2 + 10x + 25

5x^2 - 10x - 25 = 0

x^2 - 2x - 5 = 0

x = [-(-2) +/- sqrt(2^2 - 4*1*-5)] / 2

x = -1.45, 3.45.

 (we ignore the negative).

MAP TESTING HELP

Find the amount of simple interest that $400 would earn at 8% per year by the end
of 3 1/2 years.
A. $96
B. $11, 200
C. $3200
D. $112
O E. $32

Answers

Answer:

E is the answer

Step-by-step explanation:

hope it is helpful

60 milligrams = ______ km

Answers

60 mg is equal to .00006 kg

The value of 60 milligrams after unit conversion is 0.00006 Kg.

What is Unit Conversion?

A unit conversion expresses the same property as a different unit of dimension. For case, time can be expressed in twinkles rather of hours, while distance can be converted from long hauls to kilometers, or bases, or any other measure of length.

A conversion factor is an expression for the relationship between units that's used to change the units of a measured volume without changing the value.

We have to convert 60 mg to Kg.

As, 1 Kg = 1000 g

and, 1 gm = 1000 mg

So, 1 mg = 1/ 1, 000, 000 Kg

Then, the conversion is

= 60 / 1, 000, 000

= 6/ 100,000

= 0.00006 Kg

Learn more about Unit Conversion here:

https://brainly.com/question/19420601

#SPJ2

What is the multiplicity of each of the roots of the graph of f(x)=−-x^3+2x^2+3x?
A. -1, multiplicity 1; 0 multiplicity 1; 3 multiplicity 1
B. -1, multiplicity 3; 0 multiplicity 1; 3 multiplicity 1
C. -3, multiplicity 1; 0 multiplicity 1; 1 multiplicity 1
D. -1, multiplicity 1; 3 multiplicity 1

Answers

Answer:

A. -1, multiplicity 1; 0, multiplicity 1; 3, multiplicity 1.

Step-by-step explanation:

Let [tex]f(x) = -x^{3}+2\cdot x^{2} + 3\cdot x[/tex], to determine its roots and multiplicities we proceed to factorize the polynomial:

1) [tex]-x^{3}+2\cdot x^{2} +3\cdot x[/tex] Given

2) [tex]x\cdot (-x^{2}+2\cdot x + 3)[/tex] Distributive property

3) [tex]x\cdot (x-3)\cdot (x+1)[/tex] Quadratic formula/Result

The roots and multiplicities of [tex]f(x) = -x^{3}+2\cdot x^{2} + 3\cdot x[/tex] are:

0 (multiplicity 1)

3 (multiplicity 1)

-1 (multiplicity 1)

Therefore, the correct answer is A.

Answer:

The answer would be A!

Step-by-step explanation:

I did the question in class today. I hope this helped!

Sarah has 4 cousins. Melanie has 7 times as many cousins as Sarah. How many Cousins dose Melanie have?​

Answers

Answer:

Melanie has 28 cousins.

Step-by-step explanation:

4 x 7 = 28

I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!

Melanie has 28 cousins

Describe how the graph is related to the graph of y = lxl.

Answers

Answer:

The graph is 1 unit shift to right of y = lxl

Step-by-step explanation:

horizontal shift to right 1 unit of y = lxl

I will give brainliest!!!! What is the area of a circle with a circumference of 16?

Answers

Answer:

20.37183...

hope this helps!

Answer:

Step-by-step explanation:

the area is 20.37 if u need the steps just add a comment and ill show the steps

A client pays for a moving company to move 25 boxes. If the moving company charges $12.50 per box and a base fee of $199.95 to each client, what is the total amount the client pays?

Answers

Answer:

512.45

Step-by-step explanation:

312+199.95=512.45

A triangle is inscribed in a rectangle if each vertex of the triangle lies on a side of or at a vertex of the rectangle. This diagram shows shaded triangle ACE inscribed in rectangle ABDE. Find the number of square units in the area of shaded triangle ACE, if the area of the rectangle is 13.5 square units

Answers

Answer:

ITS MATH OLYMPIAD 2020 DEC 14

Step-by-step explanation:

HI

How many sides does a regular polygon have if each of its interior angles is 140 degrees?
- Step by step explanation ​

Answers

9 sides
Method 1: Since the interior angle 140 degrees, the supplement of this is the exterior angle and equal to 40 degrees. Hence the number of sides is 360/40 = 9 sides.
I think the answer would be root

Which is the input value produces the same output value for the two functions on the graph ?

Answers

Answer:

X = - 2

Hope it's help you.... ^_^

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