Mathematics College

Question 1-3
Find the average rate of change of the function, f (x) = log₂ (4x) on the interval of x = 2 to x = 8.

Answers

Answer 1

Answer:

  1/3

Step-by-step explanation:

The average rate of change of a function f(x) on an interval [a, b] is given by the formula ...

  rate of change = (f(b) -f(a))/(b -a)

__

For the given function and interval, this is ...

  (log₂(4·8) -log₂(4·2))/(8 -2) = (5 -3)/(6) = 1/3

The average rate of change is 1/3.

_____

In the attached graph, the line between the points at the ends of the interval can be seen to have a rise of 1 for a run of 3. Its slope is 1/3.

Question 1-3Find The Average Rate Of Change Of The Function, F (x) = Log (4x) On The Interval Of X =

Related Questions

How do you solve for x?

Answers

..........................

if the area of a square is 32f^2 how long is its diagonals?

Answers

Answer:
8f

Side:
√32 = 4√2

Diagonal of the square:
√2 X side = √2 X 4√2 = 8f

If each single outcome is equally likely, you can use the table to help calculate probabilities. What is the probability of getting one head and one tail, on either coin?
a.
P(1 head and 1 tail)
b.
P(1 head and 1 tail)
c.
P(1 head and 1 tail)
d.
P(1 head and 1 tail)

Answers

--

the probability of getting one head and one tail on the toss of two coins is 0.5percent chance

A baker made two cakes of the same size.
At the end of the day, there was 2/3 of a chocolate cake left.
There was 5/6 of a strawberry cake left.
The baker divided the remaining chocolate cake into 2 equal pieces and the remaining strawberry cake into 3 equal pieces.
How much larger was the chocolate cake pieces than the strawberry pieces?

Answers

Your question seems to be incomplete

what is the second term in the sequence: 5, 10, 15, 20?

A. 5. B. 11 C. 15 D. 20​

Answers

Answer:

a ............,....

Step-by-step explanation:

....

....,,

solve by elimination
(show all your work)
14x = 2y + 16
5x = y + 2

Answers

Answer:

x=3

y=13

Step-by-step explanation:

Multiply the second equation by 2:

2(5x=y+2) = (10x=2y+4)

Subtract one equation from the other:

   14x=2y+16

-   10x=2y+4

=  4x=12

Solve for x:

4x=12

x=3

Solve for y by plugging in x:

5(3)=y+2

15=y+2

13=y

PLEASE HELPPPPP IM OFFERING 100 POINTS

Answers

Answer:

36

Step-by-step explanation:

The angles of the triangle are equal.

Hence, the sides of the triangle must also be equal.

It is an equilateral triangle.

Equating JK and KL :

2x + 24 = 10x - 2410x - 2x = 24 + 248x = 48x = 6

Finding KL :

KL = 10(6) - 24KL = 60 - 24KL = 36

All angles are equal means all sides are equal

2x+24=10x-2424+24=10x-2x48=8xx=48/8x=6

KL

10x-2410(6)-2460-2436

HELP ASAP PLEASE!! The Great Pyramid of Cheops is the largest pyramid in the world. It was built around 2500 B.C. by Khufu, or Cheops, a king of ancient Egypt. The pyramid has a square base of 230 meters on each side and a height of 147 meters. Find the volume of the pyramid if the slant height is 186.63 meters.

Answers

Answer:

138, 460 m²

Step-by-step explanation:

How To Find Volume of Pyramid With Slant Height? If 'x' is the base length, 's' is the slant height, and 'h' is the height of a regular pyramid, then they satisfy the equation (the Pythagoras theorem) (x/2)2 + h2 = s2.

What are the coordinates of the focus of the parabola?

y=−0.25x2+6

Answers

y=5.5 i think it should be a straight line on the graph

If the area of one circle with radius 7 is 153.86 square units, what's the area of another circle that has a radius of 12 units?

Answers

Answer: 452.16

Step-by-step explanation:

If f(x) = 3x+2, find f(f¹(14))

Answers

Answer:

f(f¹(14)) = 134

Step-by-step explanation:

Given :

f(x) = 3x + 2

Find the value of f(14) :

f(14) = 3(14) + 2f(14) = 42 + 2f(14) = 44

Therefore, f(f¹(14)) = f(44).

Solving :

f(44) = 3(44) + 2f(44) = 132 + 2f(f¹(14)) = 134

Find the area of the shaded figure.

Answers

Answer: 12

Step By Step Explanation:

A pair of shoes usually sells for $68. If the shoes are 20% off, and sales tax is 5%, what is the total price of the shoes, including tax?

Answers

Answer:

[tex]Total\ Price = \$57.12[/tex]

Step-by-step explanation:

Step 1:  Determine the discounted price

[tex]Discount=Original* (Total\ percent - Sale\ percent)[/tex]

[tex]Discount=\$68 * (1 - 0.2)[/tex]

[tex]Discount=\$68 * (0.8)[/tex]

[tex]Discount=\$54.4[/tex]

Step 2:  Determine the total with tax

[tex]Total\ Price = Discount * (Total\ percent + Tax\ percent)[/tex]

[tex]Total\ Price = \$54.4*(1+0.05)[/tex]

[tex]Total\ Price = \$54.4*(1.05)[/tex]

[tex]Total\ Price = \$57.12[/tex]

Answer:  [tex]Total\ Price = \$57.12[/tex]

Hope this helps!  Let me know if you have any questions

What are the solutions to the equation?
x²-12x+36=4
Enter your answers in the boxes.
x1 =
x2=

Answers

The roots of this equation equation are:

x1 = 4

x2 = 8

This sentence given in the statement of this question is: Equation of the Second Degree. There are a few ways to solve it, but let's calculate by the factorization method.

Equation given: x² - 12x + 36 = 4

First, let's multiply the 12 and 36 term into factors (factoring):

x² - 12x + 36 = 4

12x ➯ 2x . x6

36 ➯ 6²

x² - 2x . x6 + 6²

( x - 6 )² = 4

Now we remove the parentheses and we will transform the exponent 2 into the square root of its original number:

( x - 6 )² = 4

x - 6 = ±√4

x - 6 = ±2

We will organize the equation in two forms, being: positive and negative:

x - 6 = ±2

x - 6 = -2

x - 6 = +2

Finally, let's calculate the first degree equation:

x - 6 = -2

x = -2 + 6

x = 4

x - 6 = +2

x = 2 + 6

x = 8

Therefore, the correct results of this equation, will be:

x1 = 4

x2 = 8

What is 48 times 22 1/2 times 32 equal to?

Answers

The simplified answer is 34560

The function (x)-47x
represents the number of jumping jacks j(x) you can do in x minutes. How many jumping jacks can you do in 15 minutes?

Answers

Given the function, j(x) = 47x, the number of jumps you can do in 15 minutes is: 705.

What is a Function?

A function models the relationship between an input value and its corresponding output value.

Given the function, j(x) = 47x, number of jumping jacks you do in 15 minutes, is:

j(15) = 47(15)

j(15) = 705

Number of jumping jack in 15 minutes is: 705.

Learn more about a function on:

https://brainly.com/question/10439235

#SPJ1

How do you put x=y-1
into word form

Answers

Answer:

x equals y minus one

Step-by-step explanation:

= means equals

- is minus

x and y cannot be put into any other (word) form

hope this helps:)

Need urgent help! Right answer

Answers

Answer:

2,772 m^2

Step-by-step explanation:

First you would need to convert the cm to m before multiplying L times W in order to get the area. 28 x 3 is 84 and 11 x 3 is 33. Then you would multiply 84 x 33 in order to get 2,772.

which digit is in the hundredths place of the decimal number 6.537?

Answers

3 is the number in the hundredths place

Please help me with this thing please

Answers

98cm^2 is the area of the sector. Brainlist please

If a=2-√5/2+√5 and b=2+√5/2-√5 find (a+b)³

Answers

Step-by-step explanation:

really ? you need help here ... - that means you did not even look at it once ...

a = 2 - sqrt(5)/2 + sqrt(5)

b = 2 + sqrt(5)/2 - sqrt(5)

a + b = 2 + 2 = 4 (the rest add up to 0)

(a+b)³ = 4³ = 64

Answer:

64

Step-by-step explanation:

Given :

a = 2 - √5/2 + √5b = 2 + √5/2 - √5

Evaluating (a + b)³ :

(2 - √5/2 + √5 + 2 + √5/2 - √5)³(2 + 2 - √5/2 + √5/2 + √5 - √5)³(4)³64

PLEASE HELP 20 POINTS!!

Answers

Answer:

D) x² - y = 10x + 25 + y

Step-by-step explanation:

A relation only becomes a function if each x-value only has a single y-value as the answer.

Evaluating

A and B cannot be the answers as each value will get 2 answersC will also not be the answer as y² means at least 2 answers will be givenD is the best option as each inputted x-value will get an answer of a single y-value

Solve for Unknown: x/10=43/46.

Do not put variable, only put the number value to the nearest whole number

Answers

Answer:

9

Step-by-step explanation:

x= 430/46

x=9.35 approximately 9( nearest whole number)

Draw the graph of the equation 2x - y = 10.​

Answers

Answer:

  see attached

Step-by-step explanation:

The graph of a linear equation can be drawn using any of several methods. Here, we are given the equation in standard form. We notice that the variable coefficients are both divisors of the constant, which means the x- and y-intercepts will be integer values. It will be convenient to draw the graph using those points.

__

The x-intercept is the x-value when y = 0.

  2x -0 = 10

  x = 10/2 = 5 . . . . . . (5, 0) is a point on the line

__

The y-intercept is the y-value when x = 0.

  0 -y = 10

  y = -10 . . . . . . . (0, -10) is a point on the line

__

The graph can be drawn by plotting these points and drawing the line through them. This is shown in the attachment.

HELP ASAP PLEASE !!

What is sum n = 1 to 4 5 ^ n equal to?

Answers

Answer: 50

Step-by-step explanation: hello the answer is 50

A surveyor needs to determine the distance between two points that lie on opposite banks of a river. Two points, A and C, along one bank are 250 yards apart. The point B is on the opposite bank. Angle A is 64º and angle C is 51°. Find the distance between A and B to the nearest tenth of a yard. • Write your answer as a number only. • Round answer to one decimal place.​

Answers

Answer:

does anyone know

Step-by-step explanation:

That is hard

Which of the following are statistical questions? Select all that apply.

How many books did the students at this school read over the summer?
What is your favorite ice cream flavor?
How many letters are in the first name of each person in this class?
How many hours do the students in this class sleep each night?
How many hours a night do you spend on homework?
How many chocolate chip cookies were made in the bakery last week?

Answers

the answers are a b c d e or all of them except the chocolate chip one

4.) Which of the following correctly describes the line y = 5?
(1) It is parallel to the x-axis
(2) It is parallel to the y-axis
(3) It is diagonal with a slope of
(4) It has no y-intercept

Answers

1. It is parallel to the x-axis.

Answer:

It is parallel to the x-axis

Step-by-step explanation:

................

Which of the following does NOT contribute to global warming?
A. Oil
B. Gas
C. Nuclear power
D. Coal

Answers

Answer:

(C) Nuclear power

Explanation:

It does not produce green house gas

Write the equation of the function that
can be modeled by this table?

Answers

Answer:

y = 3x + 5

Step-by-step explanation:

y = mx + b (slope-intercept form)

( [tex]x_{1}[/tex] , [tex]y_{1}[/tex] )

( [tex]x_{2}[/tex] , [tex]y_{2}[/tex] )

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

y - [tex]y_{1}[/tex] = m( x - [tex]x_{1}[/tex] )  (point-slope form of linear equation)

~~~~~~~~~~~~~~~

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