The graph of f(x) = 2x + 1 is shown below. Explain how to find the average rate of change between x = 2 and x = 5. (10 points) Graph of 2 to the power of x plus 1

Answers

Answer 1
First we need to find f(2) and f(5), which are 5 and 11 respectively; all you have to do is plug in 2 and 5.

Then, we use the following formula:

(f(b)-f(a))/(b-a),

where b and a are the largest and smallest x values respectively.

Finally, we plug our values in:

(11-5)/(5-2)=6/3=2

In fact, the average rate of change of any linear function is just the coefficient of the x term. Hope this helped!

Related Questions

Graph the relation shown in the table. Is the relation a function? Why or why not? {(-1, 9), (0, -1), (-1, 4), (4, 9)}

Answers

Answer:

Not a function

Step-by-step explanation:

For an equation to be a function, there should be only one y-coordinate per x-coordinate. Since this relation has both (-1,9) and (-1,4), this is not a function.

Answer:not a function

Step-by-step explanation:

because when you put the points on the coordinate plane your shape will come out as a v shaped object. In mathematics, a function is a binary relation over two sets that associates to every element of the first set exactly one element of the second set. Typical examples are functions from integers to integers or from the real numbers to real numbers

4.- En una pastelería han preparado 30 pasteles. Los van a colocar en bandejas de forma que en cada bandeja haya el mismo número de pasteles y no sobre ninguno. ¿De cuántas formas los puede colocar?

Answers

Answer:

7 formas

Step-by-step explanation:

En la pastelería, se han preparado 30 pasteles.

Cada bandeja contendrá la misma cantidad de pasteles.

Para encontrar de cuántas maneras puedes ponerlos, tenemos que encontrar los factores de 30. Ellos son:

1, 2, 3, 5, 6, 10, 15, 30

Esto significa que podemos tener:

30 bandejas que contienen 1 bandeja cada una

15 bandejas con 2 tortas cada una

10 bandejas con 3 tortas cada una

6 bandejas con 5 tortas cada una

5 pasteles que contienen 6 pasteles cada uno

3 bandejas con 10 pasteles cada una

2 bandejas con 15 tortas cada una

Esto significa que hay 7 formas de colocar los pasteles.

which one of the following is a type of face found on a platonic solid. A,regular hexagon, B. regular octagon, C.regular nonagon, D. regular pentagon
PLEASE NEED OF AN ANSWER

Answers

Answer:

B. regular octagon

I hope this will help you

this diagram shows a scale drawing of a playground the scale is ___ 1:500 work out the perimeter of the real playground give your answer in meters

Answers

Answer:

The perimeter of the actual playground is 22000 units

Step-by-step explanation:

By measurement, the width of the scale drawing = 16 units

The breadth of the scale drawing = 6 units

Therefore, given that the scale is 1:500, we have that the actual dimensions of the playground are;

Actual width of the playground = 500×16 = 8,000 units

Actual breadth of the playground = 500×6 = 3,000 units

Therefore;

The perimeter of the actual playground = 2 × 8000 + 2 ×3000 =  22000 units.

simplifica: 49/90, se puede????

Answers

Answer:

49/90 is simplified

Step-by-step explanation:

Answer:

Step-by-step explanation:

49/90

Trig work i don’t understand. pls help

Answers

Answer: A

Step-by-step explanation:

So we know that to find the area of a triangle you have to multiply the base times the height and divide it by two or multiply it by 1/2.Looking the information given it say that theta is equal to 26 degrees  and the length of a or the hypotenuse is 25 and b which in this case is the base is 32. So the information gives us the base but now we need to find the height.

To find  H we need to apply trigonometry solve for h the height.

As we could see theta which is 26 degrees is opposite the height and we know the hypotenuse length. So using soh cah toh we have to know that the length of h is  going to be using the sin formula opposite over hypotenuse.

[tex]sin(26)=\frac{h}{25}[/tex]    solve for h by multiplying both sides by 25.

h= 25 sin(26)

h= 10.96   is being rounded to the nearest hundredth because that is essential

Now we know H is equal to 10.96  which is the Height so now we have all the information we need the height and the base.

Multiply 10.96 by 32 and divide it by 2.

10.96 * 32 =  350.72

350.72 /2 = 176.36  

The best answer is A  because that is the only best approximation to 175.35.

Which equations represent a line that passes through the points given in the table? Check all that apply. y – 2 = –6(x + 10) y – 2 = –(x + 10) y – 1 = –(x + 4) y = –6x – 58 y = –x + y = –x + 5

Answers

Answer: b, c, and e

Step-by-step explanation:

I hope I helped

The standard form of the equation of straight line is given by

y - 1 = -1/6(x + 4)

What is the general equation of a Straight line?

The general equation of a straight line is -

[y] = [m]x + [c]

where -

[m] is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] is the y - intercept i.e. the point where the graph cuts the [y] axis.

The equation of a straight line can be also written as -

Ax + By + C = 0

By = - Ax - C

y = (- A/B)x - (C/A)

We have a table as given in the image attached at the end of answer.

The slope of the line will be -

m = (y₂ - y₁)/(x₂ - x₁)

m = (1 - 2)/(- 4 + 10)

m = - 1/6

The standard form of the equation of straight line is given by -

y - y₂ = m(x - x₂)

y - 1 = -1/6(x + 4)

Therefore, the standard form of the equation of straight line is given by

y - 1 = -1/6(x + 4)

To solve more questions on straight lines, visit the link below-

brainly.com/question/29030795

#SPJ2

[Refer to the image attached for complete question]

How many 4-digit numbers divisible by 5, all of the digits of which are odd, are there?

Answers

Answer:

I guess that we want to create 4 digit numbers that are divisible by 5, only using the odd numbers in the image.

We know that a number is divisible by 5 only if the last digit (the units digit) is a zero or a five, in the image we only have a five, so our 4-digit numbers need to end with a five, so we have a digit fixed in five and the other 3 digits can be other numbers.

We have two different approaches to this:

First, if each odd number can be used only once, we already used the five, so we can use the other 4 numbers.

Then, for the first digit, we have 4 options.

for the second digit, we have 3 options (because we already used one)

for the third digit, we have 2 options (because we already used 2)

then the number of combinations is equal to the product of the number of options for each selection:

C = 4*3*2 = 24 combinations.

The second approach is If the numbers in the image can be repeated (for example, 5555 or 3435 are allowed)

we still have our last digit fixed in 5, and for the first digit we have 5 options, for the second we also have 5 options, and for the third, we also have 5 options, then, with the same reasoning as above, we have:

C = 5*5*5 = 25*5 = 125 combinations.

11. Write the equation of the line in slope-intercept form that is parallel to the line y = - 4x + 2 and
passes through (2-4)

Answers

Answer:

y= -4x                                                                                                                                                                                      

Step-by-step explanation:

hope this helps and lmk if you need anything!

Find the area of the shaded region where a = -1.88 and b = 2.12. Note: the graph may not be drawn to scale. Write only a number as your answer. Round to 4 decimal places (for example 0.6148). Do not write as a percentage. (picture in attachment)

Answers

Answer:

0.0471

Step-by-step explanation:

Here, we want to find the area of the shaded region.

The area of the shade region = 1- area of the unshaded region

The area of the unshaded region is as follows;

P(b) - P(a)

and that is;

P(-1.88<x<2.12) = 0.95294 from z table

So the area of the shaded region = 1-0.95294 =

0.04706 = 0.0471 to 4 d.p

What are the values of sin α and tan α, if α is an acute angle in a right triangle: cosα= 5/13

Answers

Answer:

sin = 12/13 and tan = 12/5

The value of sin α will be 12/13 and tan α  will be 12/5 for the given triangle such that cosα= 5/13.

What is a trigonometric function?

Trigonometric functions are functions for right angle triangle which gives the relation between the angle and sides of the triangle.

The trigonometric function is only valid for the right angle triangle and it is 6 functions which are given as sin cos tan cosec sec cot.

The trigonometric functions are found in the four quadrants, as well as their graphs, domains, and differentiation and integration.

We know that

sin²α  + cos²α  =1  ⇒ sin²α  = 1 - cos²α

Given that cosα = 5/13 so by putting it

sin²α  = 1 - (5/13)²

sin²α  = 144/169  ⇒ sinα = 12/13.

Now since tanα = sinα /cosα  

tanα  = (12/13) ÷ ( 5/13)

tanα = 12/5.

Hence the value of sinα will be 12/13 and tanα will be 12/5.

For more information about the trigonometric function

brainly.com/question/1143565

#SPJ2

between which to whole numbers does the square root of 37 lie?

Answers

Between 6 and 7

6×6=36

7×7=49

hopefully this helped

The number √37 is lies between whole numbers 6 and 7.

We have to given,

A number is, √37

By the definition of square root, we get;

⇒ √37 = 6.08

And, We know that,

Number 6.08 is lies between whole number 6 and 7.

Hence, We get;

⇒ 6 < √37 < 7

Therefore, The number √37 is lies between whole numbers 6 and 7.

Learn more about Number system visit:

https://brainly.com/question/17200227

#SPJ6

help please!!!! ty :)

Answers

Answer:

I think the answer should be 112

I'm guessing the supports in the water are equally distanced. Therefore, I'd divide 168 by four to get a singular distance between two supports. I got 42 yards.

how to find the angel in trigonometry when all the lengths of the right angled triangle already given.

Answers

Answer:

The three trigonometric ratios can be used to calculate the size of an angle in a right-angled triangle

Use rule ; SOHCAHTOA .Where sin x = opp/hyp

cos x = adj/hyp

tan x= opp/adj

Substitute the given values for the three sides

into any of the above rules

[tex]example = Hyp = 2\\opp = 1\\sin- x = 1/2\\x = sin^{-1} 1/2\\x = 30[/tex]

Step-by-step explanation:

I Hope It Helps :)

If, 3a/b= 12 what is the value of (-a/-b)

Answers

Answer:

A ; -4

Step-by-step explanation:

3a = 12b then a = 4b (dividing by 3)

we put 4b in the equation instead of a:

(-4b / b) = -4

.. ..

Answer:

A. -4

Step-by-step explanation:

3a/b = 12

Let b = 2

3a/2 = 12

3a = 24

a = 8

( - a/b)

( - 8/2)

( - 4)

first chance you get the best marks ​

Answers

Answer:

First box and last box.

Step-by-step explanation:

It is the first box.

Distribute 7 to the first number

7 * -3/4 = -21/4

-21/4 = 5  -1/4

Distribute 7 to the second number

7 * -3

= -21

Put the numbers together

5  -1/4x  -21 is the answer.

It is also the last box.

They separated the parenthesis.

So it is still 7 * -3/4

and

7*-3.

Hope this helps,

Kavitha

linear equations: c+2c+12=75

Answers

Answer:

c = 21

Step-by-step explanation:

c + 2c + 12 = 75

Combine like terms.

3c + 12 = 75

Subtract 12 from both sides.

3c = 63

Divide 3 on both sides.

c = 21

In your own words, tell how geometric sequences are related to exponential functions. Share your answer with the rest of the group.

Answers

Exponential functions are defined for all real numbers, and geometric sequences are defined only for positive integers. Another difference is that the base of a geometric sequence (the common ratio) can be negative, but the base of an exponential function must be positive.

Answer:

Geometric sequences are the long way to show an exponential function. The initial amount in both exponential functions and geometric sequences do the same thing, which is state the initial value and the value by which it is multiplied. What is called the common ratio in a geometric sequence is basically the second part of what the initial amount does in an exponential function. The nth term in a geometric sequence is the same as the power in an exponential function, that is to say that it shows how many times the sequence is repeated.

Step-by-step explanation:

What is the value for y? Enter your answer in the box. y = An isosceles triangle A B C with horizontal base A B and vertex C is below the base. Side A C and C B are labeled with single tick mark. All the three angles are labeled. Base angles C A B is labeled as 34 degrees and angle C B A is labeled as left parenthesis x minus 5 right parenthesis degrees. The angle A C B is labeled as 4y degrees.

Answers

Answer:

28.

Step-by-step explanation:

I just did the question and I got it right. The answer above is right. The image below is where I did the question and has the picture attached next to it too.

*And I accidentally clicked the one star option, that's why it has such a low score.

An isosceles triangle is a triangle where two sides are equal and the angles opposite to the sides are also equal.

The value of y is 28.

What is a triangle?

It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.

We have,

An isosceles triangle is a triangle where two sides are equal and the angles opposite to the sides are also equal.

m∠CAB = 34

m∠CBA = x - 5

m∠ACB = 4y

Triangle ABC is an isosceles triangle.

AC and BC are sides are equal.

This means,

m∠CAB = m∠CBA

34 = x - 5

34 + 5 = x

x = 39

Now,

The sum of the angles in a triangle is 180 degrees.

This means,

34 + (x -5) + 4y = 180

34 + (39 - 5) + 4y = 180

34 + 34 + 4y = 180

68 + 4y = 180

4y = 180 - 68

y = 112 / 4

y = 28

We can cross-check.

34 + 34 + 4 x 28 = 180

34 + 34 + 112 = 180

180 = 180

Thus,

The value of y is 28.

Learn more about triangles here:

https://brainly.com/question/25950519

#SPJ2

Use the identity below to complete the tasks:
23 - 63 = (a - b)(a² + ab + b2)
When using the identity for the difference of two
cubes to factor 64x8 - 27
a=
b =

Answers

Answer:

a is 2q^2r

b is 3s^2t

the expression factored is...

(2q^2r+3s^2t)(4q^4r^2-6q^2rs^2t+9s^4t^2)

Step-by-step explanation:

The graphs below have the same shape. What is the equation of the blue
graph?

Answers

Answer:

Option (D)

Step-by-step explanation:

Function in red is,

f(x) = x²

When a function f(x) is translated h units to the left, rule to be followed,

f(x) → f(x + h)

If the function is translated 2 units left,

Translated function (in blue) will be,

g(x) = (x + 2)²

Option (D) will be the answer.

There are 12 boys and 16 girls in a classroom. Which represents the simplified ratio of girls to students in the classroom? THIS IS A RATIO!

Answers

Answer:

4:7

Step-by-step explanation:

The number of students in the class is:

boys + girls

12 + 16 = 28

There are 28 students.

The ratio of girls to students is:

16:28

Simplify the ratio.

4:7

Answer:

4:7  

Step-by-step explanation:

I got it right on the test

Can any of y’all help me with this problem?

Answers

Answer:

90º clockwise rotation

Step-by-step explanation:

The rotation is a 270º counterclockwise rotation, since 270º rotation is

(x, y) → (y, -x)

F(1, 3) → (3, -1)

270º counterclockwise rotation is the same as a 90º clockwise rotation, so the answer is 90º clockwise rotation.  

90° clockwise rotation

There are 4562 boys in a school. The number of girls is 689 less than the number of
boys. Find the total strength of the school. Pls answer fast​

Answers

Answer: 8435

Step-by-step explanation:

No. of girls = 4562 - 689 = 3873

Total strength = 4562 + 3873

= 8435

Answer:

8435

Step-by-step explanation:

Boys= 4562

Girls= 4562-689= 3873

Total= 4562+3873= 8435

The question is in the image below.

Answers

The fourth:

The second equation in system 2 is the difference of the equations in system 1. The first equation in system 2 is the first equation in system 1.

Ax + By - (Lx + My) = Ax + By - Lx - My = (A - L)x + (B - M)y

Answer:

The answer is __

because of __

Step-by-step explanation:

100
b)
2. Write the following decimals as common fractions in their simplest forms
a) 0,8
b) 0,03

Answers

Answer:

4/5, 3/100

Step-by-step explanation

Let's look at 0.8 first.

0.8 is 8/10, but there's some more.

Let's divide 8 / 2. It is 4.

and, 10 / 2 is 5.

so, 0.8's simplest form is 4/5.

and, 0.03's simmplest fraction is easy.

It is 3/100, cuz 3 is a prime number and 3's integer is only 1 and 3.

Hope this helps!

Bob goes shopping at his favorite store and finds a hat that is regularly priced at $40, but it is on sale for 20% off. The sales tax on the hat is 10% of the sale price. How much does Bob end up paying for the hat?

Answers

Answer:

$35.2

Step-by-step explanation:

Marked price of hat = $40

Sale discount = 20%

discount in $ = 20% of $40 = 20/100 * 40 = $8

Thus, sale price = marked price - sale discount = $40 - $8 = $32

Now it is given that there is sales tax of 10%

This sales tax will be applied on sale price

thus,

sales tax in dollars = 10% of sale price of hat = 10/100 * $32 = $3.2

Total price paid for hat = Sale price+ sales tax = $32 +$3.2 = $35.2

Thus, Bob ended up paying $35.2 for the hat.

Write in figures;Nine million twenty thousand four hundred and six and twenty seven thousandths.​

Answers

Answer:

9,020,406.27

Step-by-step explanation:

Answer:

9,020,406.27

Step-by-step explanation:

the
square
(5x² + 6xy)²
is

Answers

Answer:

[tex] {25x}^{4} + 60 {x}^{3} y + 36 {x}^{2} {y}^{2} [/tex]

Step-by-step explanation:

[tex](5 {x}^{2} )^{2} + 2 \times 5 {x}^{2} \times 6xy + (6xy)^{2} [/tex]

Gives the above answer

Answer:

in the picture

Step-by-step explanation:

Which function is represented by this graph?

Answers

Answer:

Option B.

Step-by-step explanation:

From the given graph it is clear that it is a V-shaped graph. It means, it is the graph of absolute function.

The vertex form of an absolute function is

[tex]y=a|x-h|+k[/tex]

where, a is a constant and (h,k) is the vertex.

From the given graph it is clear that the vertex is at (7,-3). It means h=7 and k=-3.

[tex]y=a|x-(7)|+(-3)[/tex]

[tex]y=a|x-7|-3[/tex]    ...(1)

It passes through (4,0).

[tex]0=a|4-7|-3[/tex]

[tex]3=3a[/tex]

[tex]1=a[/tex]

Put this in (1).

[tex]y=1|x-7|-3[/tex]

[tex]y=|x-7|-3[/tex]

Therefore, the correct option is B.

Other Questions
? of 72 = 45 (answer in fraction) On January 1, the Matthews Band pays $65,800 for sound equipment. The band estimates it will use this equipment for four years and perform 200 concerts. It estimates that after four years it can sell the equipment for $2,000. During the first year, the band performs 45 concerts. Compute the first-year depreciation using the units-of-production method. g Convert the fraction 19/20 into a decimal What fraction of the students are girls give your answer in its simplest form 8Do not writeoutside thebox9A company sells housesThe line graph shows the number sold per week for 30 weeks.Houses sold987Number 6of weeks 543210051 2 3 4Number of houses9 (a)Work out the range of the number of houses sold per week.[2 marks] What is the domain of this function What is the specific heat of a 85.01 g piece of an unknown metal that exhibits a 45.2C temperature change upon absorbing 1870 J of heat? At what minimum speed must a roller coaster be traveling when upside down at the top of a 7.4 m radius loop-the-loop circle so the passengers will not fall out? Q3.Ishah spins a fair 5-sided spinner. She then throws a fair coin. (i)List all the possible outcomes she could get. The first one has been done for you. (1, H)(ii)Ishah spins the spinner and tosses the coin.Work out the probability that she will get a 2 and a head. How many ways are possible to choose 3 days out of February? NOTE: Use 28 days for the number of days in February. A) 3276 B) 378 C) 20475 D) 2925 I am being timed pls asap What was the main goal of the Farmers Alliance? for plato end of semester test how do u find rate of change on a graph Suppose the world price of cotton falls substantially. The demand for labor among cotton-producing firms in Texas will . The demand for labor among textile-producing firms in South Carolina, for which cotton is an input, will . The temporary unemployment resulting from such sectoral shifts in the economy is best described as unemployment.Suppose the government wants to reduce this type of unemployment. Which of the following policies would help achieve this goal? Check all that apply.a. Extending the number of weeks for which unemployed workers are eligible for unemployment insurance benefits from the governmentb. Taxing the price of placing a resume or posting a job opening on job-search websitec. Establishing government-run employment agencies to connect unemployed workers to job vacancies A car travelling from Ibadan to Lagos at 90 km/hrtakes 1 hour 20 min. How fast must one travel tocover the distance in one hour? Eldrick is using the dot plots to compare two sets of data. Both plots use the same number line. What is the difference between the mean of each data set? Plz. Can anyone explain and tell the answer of this question.I promise I will mark it as brainliest Question. Adverbs Fill in the blanks 1. It was swimming_______, its tail out of the water every few seconds.2. _________, we were doing a five-kilometer run downtown Victoria through Beacon Park.3. I go running_______ with my friends from the jogging club.4. As we were running_______ at the edge of the sea, someone shouted Look! There was a grey whale out in the ocean, about a hundred meters from shore.5. We all stoped running________. Source view shows your website_____ A) exactly as it would appear when published B) approximately as it would appear when published C) both as it would appear to user's online and in HTML code D) in HTML code soie open.Question 8(Multiple Choice Worth 1 points)(02.03 MC)Read and choose the option with the correct word or words to complete the sentence.La camarerala carta de bebidas en la mesa y pregunta a Federico y a mi. Primero, yo quiero caf. Segundo,Federico: l quiere agua.cuida; me toca adeposita; le toca abebe: me levantarecoge; le levantaQuestion 9 Multiple Choice Worth 1 points)(02.03 LC)Read and choose the option with the correct negative command in the text.