Calculating Rate of change

Calculating Rate Of Change

Answers

Answer 1

Answer/Step-by-step explanation:

We are given the following coordinates of two points on the line of the graph shown in the question as: A(2, 1) and B(4, 2)

Vertical change from point A = [tex] y_2 - y_1 = 2 - 1 = 1 [/tex]

Horizontal change from point A = [tex] x_2 - x_1 = 4 - 2 = 2 [/tex]

Rate of change = [tex] \frac{y_2 - y_1}{x_2 - x_1} = \frac{1}{2} = 0.5 [/tex]


Related Questions

Departure time: 6:15 am
Arrival time: 4:24 pm
Travel time: ?

Answers

Answer:

Airplanes

Step-by-step explanation:

Aviation is the Airplanes and they need to take off on their flight on their way for Visit! Welcome Aboard!

Answer:

10h and 9 min

Step-by-step explanation:

What restriction should be applied to y = tanx for y = arctanx to be defined?
Look at the picture below for the choices.

Answers

Answer:

its c on edge

Step-by-step explanation:

restrict the domain to (-pi/2,pi/2)

The restriction that should be applied to the function [tex]y = tanx[/tex] for [tex]tan^{-1} (x)[/tex] to be defined is option (C) restrict the domain to [tex](-\frac{\pi }{2} ,\frac{\pi }{2} )[/tex] is the correct answer.

What is graph of a function?

A graph can be defined as a pictorial representation or a diagram that represents data or values in an organized manner. The graph of a function f is the set of all points in the plane of the form (x, f(x)).

For the given situation,

The graph below shows the functions tan(x) and arctan(x) that is tan^-1(x)

In order to have an inverse function for trigonometry, we restrict the domain of each function, so that it is one to one.

A restricted domain gives an inverse function because the graph is one to one and able to pass the horizontal line test.

Thus by restricting the domain [tex](-\frac{\pi }{2} ,\frac{\pi }{2} )[/tex] we can obtain the function [tex]tan(x)[/tex] as [tex]tan^{-1} (x)[/tex].

Hence we can conclude that the restriction that should be applied to the function [tex]y = tanx[/tex] for [tex]tan^{-1} (x)[/tex] to be defined is option (C) restrict the domain to [tex](-\frac{\pi }{2} ,\frac{\pi }{2} )[/tex] is the correct answer.

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6y-2+x



I need Help Thursday 22 oct

Answers

Answer:

x+6y-2 is the simplfied answer

Step-by-step explanation:

Which graph models a relationship with the same unit rate ?

Answers

kendsgkjdbgfz

Step-by-step explanation:

Use the Distributive property to find the product. 3x891=3(?-?) ​

Answers

Answer:

900,9

Step-by-step explanation:

distribute the 891 into something more simpler. 900 and 9. you can do 3 times 900 which is 2700 and subtract 3 times 9 from 2700 which is just saying 2700 minus 27, which in turn gives you 2673

Which table represents a function?

Answers

Answer:

B

Step-by-step explanation:

its a very long question to ask​

Answers

Answer:

tell me bro i will answer the question

b. the results from both game a and game c align closely with the theoretical probability of winning those games while the results from game b don't

What is 2/5 + 1/4+7/10

Answers

Answer:

1 7/20

Step-by-step explanation:

Answer:

27/20 or 1 7/20

Step-by-step explanation:

1) make the denominators the same

2/5 multiplied by 4 on top and bottom =8/201/4 multiply by 5 = 5/207/10 multiply by 2 = 14/20

2) add the numerators

8+5+14=27

3) the denominator stays the same

27/20

4) simplify it to 1 7/20

the price of 41gram apple is 10.25 rupees.then how many rupees for 1 kg apple​

Answers

Answer:

Rs. 250

Step-by-step explanation:

The price of 41 g. apple is Rs 10.25

The price of 1 g. apple is Rs 10.25/41, = Rs 0.25

The price of 1 Kg (1000 g.) is 0.25 x 1000 = Rs 250

number 2 please thank you!!

Answers

Answer:

the inverse of a function takes the output of the actual function as the input and gives the input of the initial function as the output

here, we are given that when we input 23 in the inverse function of 'f', we get 3

this means that if we input 3 in the initial function, we will get 23 as the output

f(x) = x² - ax + 8

changing the input value to 3

f(3) = (3)² - 3a + 8

changing the output value to 23

23 = 9 - 3a + 8

3a = 17 - 23

3a = -6

a = -2

please help and answer properly

Answers

Answer:

6. Ethan should shade the region marked B

7. No, point (0, 4) will not be included in the solution set

8. Point (0, -2) will not be included in the solution set

Step-by-step explanation:

Let us explain how to solve the question

The graph represents the equation 2x - 5y = 10

The inequality is 2x - 5y > 10

The sign of inequality is greater than without equal, that means the line represents it must be a dotted line because all the points on the line do not belong to the solution set of the inequality.

To find the area of the solution you must put y on a side and the other term on the other side

∵ 2x - 5y > 10

→ Add 5y to both sides to move y in the other side

∴ 2x - 5y + 5y > 10 + 5y

∴ 2x > 10 + 5y

→ Subtract 10 from both sides to move 10 to the other side

∵ 2x - 10 > 10 - 10 + 5y

∴ 2x - 10 > 5y

→ That means 5y < 2x - 10

5y < 2x - 10

6.

→ y < that means the area of the solutions is under the line

∴ The solutions of the inequality lie in area B

Ethan should shade the region marked B

7.

∵ Point (0, 4) lies above the line in the region marked A

→ That means it does not lie in the area of the solutions

Point (0, 4) will not be included in the solution set

8.

∵ Point (0, -2) lies on the line

∵ All the point on the line did not belong to the solution set as we

  said before

Point (0, -2) will not be included in the solution set

3/8 is equal to

A) 0.222
B) 0.375
C) 0.444
D) 0.666

Answers

Answer:

B 0.375

Step-by-step explanation:

Google told me that 3/8 of a whole is 0.375

Answer:The anwser is B 0.375

Step-by-step explanation:

3 dived by 8 is 0.375

Simplify (1/2 pt each)

-2^3=

8^2=

9^-1=

(-4)^-2=

HELPP PLSSS

Answers

Answer:

-2^3= -8

8^2= 64

9^-1= 1/9

(-4)^-2= 1/16

Step-by-step explanation:

Wish this can help you.

The value of the expressions -2³, 8², 9⁻¹, and (-4)⁻² will be - 8, 64, 1/9, and - 1/16, respectively.

What is the value of the expression?

When the relevant components and basic processes of a numerical method are given values, the expression's result is the result of the computation it depicts.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

Simplify each expression, then we have

-2³ = - 8

8² = 64

9⁻¹ = 1/9

(-4)⁻² = 1 / (-4)² = - 1/16

The value of the expressions -2³, 8², 9⁻¹, and (-4)⁻² will be - 8, 64, 1/9, and - 1/16, respectively.

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Replace "?" with ">", "<", or "=' to make the sentence true:

13+7?11


Describe the steps that you need to follow to reach the correct answer

___________________________________

Write an equality to represent the following statement:
"A number is greater than 4"

Describe the steps that you need to follow to reach the answer.​

Answers

Answer:

[tex]>[/tex]

Step-by-step explanation:

[tex]13 + 7 = 20[/tex]

[tex]20 > 11[/tex]

I know this because if 13 + 7 is 20, thats bigger than 11.

Ex of greater than 4:

10 > 4

-BBBM

Answer:

Step-by-step explanation:

The first one is going to be a less than symbol and the steps you would need to take is add 13 and 7. the second problem, you could do 5=4 and your answer would be greater than four. The steps you would take is 5=4 which is 9 and 9 is greater than 4

Solve for x in the figure below
5x+18
7x-14

Answers

Answer:

16 =x

Step-by-step explanation:

The angles are corresponding angles and since the lines are parallel, they are equal

5x+18 =7x-14

Subtract 5x from each side

5x+18 -5x=7x-5x-14

18 = 2x-14

Add 14 to each side

18+14 = 2x-14+14

32 = 2x

Divide by 2

32/2 = 2x/2

16 =x

Answer: x=16

Step-by-step explanation:

make it an equation: the equation 5x+18=7x-14

then, solve for x.

steps :

1. add 14 to both sides to get 5x+32=7x

2. subtract 5x to both sides to get 32=2x

3. divide both sides by 2 to get 16=x

A box contains one each of $1, $5, $10, $20, and $100 bills. It costs $14 to reach in and withdraw one bill. What is the expected value?

Answers

Answer:

13.20

Step-by-step explanation:

1/5 (1+5+10+20+100) - 14

The required expected value is 13.20.

A box contains bill of = $1, $5, $10, $20, and $100
It costs $14 to reach in and withdraw one bill.

What is expected value?

Its estimated value of the variable in probability.


Expected value=  mean - 14
                       =    (1+5+10+20+100)/5 -14
                       =    13.20

Thus, the required expected value is 13.20.


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1 gallon = 4 quarts
1 quart = 2 pints
1 pint = 2 cups
1 cup = 8 ounces
How many ounces are in 4 gallons?

Answers

Answer:

512

Step-by-step explanation

128 ounces in a gallon times that by 4. ====== ....... 512.

Ur welcome please heart this

512 ounces would be correct

A car travels 100 km with 9.8 liters of gas. How much gas is required for a 1482 km trip?

Answers

Answer:

145.236 is required

Step-by-step explanation:

(1482x9.8)/100

Need help ASAP have 30 minutes

Answers

7.25$ for one box of paper
Explanation: divide 14.50 by 2

Answer:

1 box of paper will cost $7.25.

Step-by-step explanation:

14.50 divided by 2 is 7.25, therefore one box of paper will be 7.25

One endpoint of a line segment has coordinates represented by (x+4,1/2y). The midpoint of the line segment is (3,−2).

How are the coordinates of the other endpoint expressed in terms of x and y?

Answers

Answer:

[tex]\displaystyle \left(-x+2, -\frac{1}{2}y-4}\right)[/tex]

Step-by-step explanation:

We are given that one of the endpoints of the line segment is:

[tex]\displaystyle \left( x + 4, \frac{1}{2}y\right)[/tex]

And that the midpoint of the line segment is (3, -2).

And we want to find the other coordinates in terms of x and y.  

We can consider using the midpoint formula:

[tex]\displaystyle M = \left(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}\right)[/tex]

We are given that the midpoint is (3,-2). Substitute:

[tex]\displaystyle (3, -2) = \left(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}\right)[/tex]

We can solve for each coordinate independently.

x-coordinate:

We have:

[tex]\displaystyle 3=\frac{x_1+x_2}{2}[/tex]

One of the two endpoints is (x + 4, 1/2y). Hence, we can substitute x + 4 for x₁:

[tex]\displaystyle 3=\frac{(x+4)+x_2}{2}[/tex]

Solve for the second x-coordinate x₂:

[tex]\displaystyle \begin{aligned} 6 & = x+4 + x_2 \\ \\ x_2 + x & = 2 \\ \\ x_2 & = -x +2 \end{aligned}[/tex]

Hence, the x-coordinate of the second point is -x + 2.

y-coordinate:

We have:

[tex]\displaystyle -2=\frac{y_1+y_2}{2}[/tex]

We can substitute 1/2y for y₁. This yields:

[tex]\displaystyle -2=\frac{\dfrac{1}{2}y+y_2}{2}[/tex]

Solve for y₂:

[tex]\displaystyle \begin{aligned} -4 & = \frac{1}{2}y + y_2 \\ \\ y_2 & = -\frac{1}{2}y - 4\end{aligned}[/tex]

In conclusion, the other coordinate expressed in terms of x and y is:

[tex]\displaystyle \left(-x+2, -\frac{1}{2}y-4}\right)[/tex]

Answer:

This is for a different question the answer above is correct because I used it steps. Now the question below is similar and is on the test.

Step-by-step explanation:

A data obtained by conducting a survey is called?

Answers

Answer:

Survey data

Step-by-step explanation:

Survey data is defined as the resultant data that is collected from a sample of respondets that took a survey

The data obtained by conducting a survey is called as "survey data".

It is given that we are conducting a survey.

what will we call the data which is obtained through the survey.

What is a survey ?

Survey is a research method of gathering information or collecting the data.

Survey data is defined as the resultant data that is collected from a sample of respondents that took a survey.

The survey data is generally precise and enclosed within the topic of survey.

Thus, the data obtained by conducting the survey is called "survey data".

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The price of a holiday was increased by 11% to £870. What was the price before the increase?
Give your answer to the nearest penny.

Answers

Answer:

784

Step-by-step explanation:

My bad don't know how to explain..

Suppose f(x) = 12x – 1,400 and g(x) = 12x – 1,535. Describe the transformation of the graph of f to the graph of g. Group of answer choices The graph is translated left 135 units. The graph is translated right 135 units. The graph is translated down 135 units. The graph is translated up 135 units.

Answers

The graph is translates down 135 units, because you can see how the y-intercept decreased by 135 units from f(x) to g(x).

The transformation of the graph of f to the graph of g is that the graph is translated down 135 units.

What is Graph?

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

The given two functions are

f(x) = 12x – 1,400 and

g(x) = 12x – 1,535

A transformation is a general term for four specific ways to manipulate the shape and/or position of a point, a line, or geometric figure.

We need to find the transformation of the graph of f to the graph of g.

The graph is translates down 135 units, because the y-intercept decreased by 135 units from f(x) to g(x).

Hence,  the transformation of the graph of f to the graph of g is that the graph is translated down 135 units.

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18 yd = 6 ft
O True
O False

Answers

Answer:

True

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

It's the other way around. A yard is three feet.

Which expression uses the associative property to make it easier to evaluate
14( 1/7• 2/5)

Answers

Step-by-step explanation:

Associative property is a(bc)=(ab)c

14(1/7 * 2/5) = (14* 1/7) 2/5 = 2* 2/5 = 4/5

Answer: (14 x 1/7) 2/5

Step-by-step explanation: yes.

100 points!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!1

Answers

Answer:

y=5.8

x=10

Step-by-step explanation:

30\3=10

10-4.2=5.8

Answer:

x = 10 cm

y = 5.8 cm

Step-by-step explanation:

Area of a rectangle

[tex]\large\boxed{A=l\:w}[/tex]

where l is the length and w is the width.

From inspection of the given rectangle:

Width = 3 cmLength = x = y + 4.2 cmArea = 30 cm²

Substitute the given values of area, width and length into the formula and solve for x:

[tex]\begin{aligned}A&=l\:w\\\implies 30&=x \cdot 3\\3x&=30\\x&=10\end{aligned}[/tex]

Substitute the found value of x into the expression for length and solve for y:

[tex]\begin{aligned}y+4.2&=x\\y+4.2&=10\\y&=10-4.2\\\implies y&=5.8\end{aligned}[/tex]

Determine the x- and y-intercepts of the graph of x+2y=−4 .

Then plot the intercepts to graph the equation.

Answers

Answer:

x-intercept: (-4,0)

y-intercept:(0,-2)

Step-by-step explanation:

Answer:

Blue dots are correct

Step-by-step explanation:

I took quiz

Select the correct answer.
What is the factored form of t6 − p3?

A. (t2 + p)(t4 − pt2 + p2)
B. (t − p)2(t2 − pt + p2)
C. (t2 − p)(t4 + pt2 + p2)
D. (t − p)2(t2 + pt + p2)

Answers

It's the answer is C. (t2-p)(t4+pt2+p2)

Please help what Is 4/5 divided by 2

Answers

Answer:

2/5

Step-by-step explanation:

Answer:

2.25 is your answer

Step-by-step explanation:

Which number
not in scientific notation?
6x10^24
2.01x10^-2
1.3x10^-4
0.5x10^3

Answers

Answer:

It's 0.5x10^3

Step-by-step explanation: A number in scientific notation has to be between 1 an 10. It can't be less than one or 10.

I think the answer would be 0.5x10^3
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