what is the average rate of change for the line graphed in the figure above

What Is The Average Rate Of Change For The Line Graphed In The Figure Above

Answers

Answer 1

Answer:

5/8

Step-by-step explanation:

I used the slope formula of y2-y1/x2-x1


Related Questions

2. Consider the following points.
A(-2,20) and P (10,-13)
AP undergoes the translation Tox(x,y), such that A (-28, 37) and P'(-16,4).
Part A: Complete the following algebraic description.
b
(x,y) → (x +
x= x
Part B: Which of the following statements is true?
A AP and A'P' have different locations.
B AP and A'P' have different shapes.
CAP and A'P' have different sizes.
D AP and A'P' have different directions.

Answers

Answer:

Transformation: (x,y) → (x - 26, y + 17) or

[tex]T _{-26,17}[/tex](x,y) [translation]

A, since the transformation of a translation simply changes the location of a certain figure because all the points of the figure are moved the exact same way. This is because a translation is a rigid transformation.

Explanation:

Let the preimage of points A and P be A(x1,y1), and P(x2,y2). And the image of points A and P be A'(x3,y3) and P'(x4,y4).

Given points A and P are A(-2,20) and (10,-13). And points A' and P' are A'(-28,37), and P'(-16,4). The translation is found by calculating the difference between these points for the figure. (x,y) → (( x + ((x3-x1) + (x4-x2))/2), (y + ((y3-y1) + (y4-y2))/2 )). If this does not match all the points in the transformation of the figure, than it is not a rigid transformation, and so it cannot be a translation.

The simple formula for the uniform translation of a figure is : (x,y) → ((x + (x2-x1), (y + (y2-y1)) . Where x2, and y2 are part of the image, while x1, and y1 are part of the preimage. This will get you from the preimage(1) to image(2) following a translation.

Given all the points, the more complicated work is shown here:

(x,y) → ((x + ((-28--2) + (-16-10))/2), (y + ((37-20) + (4--13))/2)) = (x,y) → ((x + (-26 + -26)/2),(y + (17 + 17)/2) = (x,y) → ((x - 26),(y + 17)) = (x,y) → (x - 26, y + 17).

When writing a transformation like a translation in a function, it will look like this: [tex]T _{∆x,∆y}[/tex](x,y). ∆x,∆y are just placeholders for the change in these variables that get you from the preimage to image.

The first term of an arithmetic sequence is 10 and its common difference is negative seven.

Answers

Answer:

A+(N-1)*D

10+(N-1)*(-7)

10+(-7N+7)

10-7N+7

-7N+17

Step-by-step explanation:

using this equation you can find the rest of the numbers in the sequence

Find the function of a graph in vertex form, whose
vertex is (-1,5) and passes through the point (2, -3)

Answers

Answer:

            y =  -⁸/₉(x + 1)² +5

Step-by-step explanation:

y = a(x - h)² + k    - vertex form of quadratic function with vertex (h, k)

y = a(x - (-1))² + 5    - vertex form of quadratic function with vertex (-1, 5)

y = a(x +1)² + 5

graph goes through (2, -3) so if x=2 then y =-3

-3 = a(2+1)² + 5

-3 -5 = a×3² + 5 - 5

 -8 = 9a

  a = -⁸/₉

So the equation of the function:

                                                    y =  -⁸/₉(x + 1)² + 5

Alejandra correctly wrote the equation y – 3 = y minus 3 equals StartFraction 1 Over 5 EndFraction left-parenthesis x minus 10 right-parenthesis.(x – 10) to represent a line that her teacher sketched. The teacher then changed the line so it had a slope of 2, but still went through the same point. Which equation should Alejandra write to represent the new line?

Answers

Answer:

y – 3 = 2(x – 10)

Step-by-step explanation:

Hope this helps!!!

plz help me with this ty

Answers

Answer: $0.14 per fluid ounce.

Step-by-step explanation: $4.48 divided by 32 = $0.14

A study showed that the ratio of the number of people who gets there news from social media to the number of people who got there news from other sources is 3 : 7 based on the ratio, how many people in a town of 900 people get there news from social media

Answers

Answer: 270 people

Step-by-step explanation:

Since the ratio of the number of people who gets there news from social media to the number of people who got there news from other sources is 3 : 7. This can be expressed in a fraction as:

Fraction of people who gets there news from social media = 3/10

Fraction of people who got there news from other sources = 7/10

If there are 900 people, number of people who gets there news from social media will be:

= 3/10 × 900

= 3 × 90

= 270 people

Andy is scuba diving. He starts at sea level and then descends 10 feet in 212 minutes. Part A How would you represent Andy's descent as a unit rate? Express your answer as an integer. Enter your answer in the box. feet per minute Part B If he continues at this rate, where will Andy be in relation to sea level after 6 minutes? feet

Answers

Answer:

A. 4 feet per minute

B. 24 feet

Step-by-step explanation:

Given that: distance = 10 feet

                   time = 2 1/2 minutes = 2.5 minutes

A. The descent rate is the speed with which an object descends with respect to a reference point or plane.

Speed is the rate of the distance moved to time taken.

speed = [tex]\frac{distance}{time}[/tex]

           = [tex]\frac{10}{2.5}[/tex]

           = 4 feet/minute

Andy's descent is 4 feet/minute.

B. If he continues at this rate, his distance in relation to sea level after 6 minutes would be;

speed = [tex]\frac{distance}{time}[/tex]

4 = [tex]\frac{distance}{6}[/tex]

distance = 4 x 6

              = 24 feet

Thus, Andy would be at 24 feet in relation to sea level after 6 minutes.

Evaluate
14
P
- 4 - 2h when p=1 and h=4.

Answers

Answer:

Step-by-step explanation:

Putting values into the equation

14(1) - 4 - 2(4)

14 - 4 - 8

10 - 8 = 2

Find the equation of the line that passes through the point (7,-8) and is perpendicular to the line y=1/8x-2

Answers

Answer:

y=-8x+48

Step-by-step explanation:

Slope is -8 because perpendicular slopes are negative reciprocals

Plug it in:

-8=7(-8)+b

48=b

use the rational exponent property to write an equivalent expression for

Answers

Answer:

i need to know what for

Step-by-step explanation:

Answer:

forrr rwhatttt

Step-by-step explanation:

Find out if a function is linear or nonlinear from a graph.

Answers

Step-by-step explanation:

Believe it or not, we can determine whether a function is linear or nonlinear simply by looking at its graph! Because the rate at which y is changing with respect to x is constant in a linear function, the graph of a linear function is a line, as the name implies. For example, observe the graph of Sophie's function.

Answer:

Linear functions make graphs that are perfectly straight lines. Nonlinear functions have graphs that are curved.

I'll give brainliest to correct answer
Fill in each blank with a reason that justifies the statement.​ Given: XY = 36
look at the screenshot

Answers

Answer:

[tex]b. \:distributive \: property \: of \: equality \\ c. \: collect \: like \: terms\\ d. \: addition \: property \: of \: equality \\ e. \: division \: property \: of \: equality [/tex]

What does the x intercept represent?

Answers

it is the point at which the graph crosses the x-axis; (x,0)

Answer:

the x intercept is the y and x combined together crossing each other

A) the quantity in column A is larger
B) the quantity in column B is larger
C) the two quantities are equal
D) relationship cannot be determined with the given information

Answers

Answer: A

The number of distinctive prime factors in Column A is 60.

The number of distinctive prime factors in Column B is 30.

This number is 1/2 half more prime factors.

There is 30 more prime factors, so the answer is A.

The quantity in column A is larger than column B.

need help ASAP, failing my classes atm stuggling in math

Answers

It’s b, use Desmos it helps a lot with this types of questions

Answer:

la respuesta es—6

esperó que te sirva

simply the following 2m⁵×5m³×7m²​

Answers

Answer:

[tex]2m^5\cdot 5m^3\cdot 7m^2=70\cdot m^{10}[/tex]

Step-by-step explanation:

Simplify the expression

[tex]2m^5\cdot 5m^3\cdot 7m^2[/tex]

Calculate the product of the coefficients:

2*5*7=70

Compute the product of the variables. Since they are all the same letter, sum their exponents:

[tex]m^5\cdot m^3\cdot m^2=m^{5+3+2}=m^{10}[/tex]

Combine the results:

[tex]\boxed{2m^5\cdot 5m^3\cdot 7m^2=70\cdot m^{10}}[/tex]

8) Fill in the chart for each equation.
EQUATION
SLOPE
Y-INTERCEPT I SLOPE
1) y = {x-4
2) y = -9x + 5

Answers

Answer:

Equation: y = x - 4

Slope: 1

y-intercept: -4

Equation: y = -9x + 5

Slope: -9

y-intercept: 5

Hope this helps!

Rasha and Scott went to a bakery. Rasha bought 4 plain bagels and 2 chocolate donuts for a total of $8.70. Scott
bought 3 chocolate donuts for a total of $2.55.
What is the cost of one plain bagel at the bakery?​

Answers

Answer:

Step-by-step explanation:

Let b = bagels , d = donuts

Rasha bought 4 plain bagels and 2 chocolate donuts for a total of $8.70

We can write this as :

4b + 2d = 8.70

Scott bought 3 chocolate donuts for $2.55

3d = 2.55

First, let's find out the cost of 1 donut.

To do this, divide 2.55 by 3.

1d = 2.55/3 =0.85  (1 donut costs $0.85)

Substitute the value of d ( d = 0.85 ) into the equation 4b + 2d = 8.70

4b + 2d = 8.70

4b + 2 (0.85) = 8.70

4b + 1.7 = 8.70

Subtract 1.7 from both sides.

4b = 8.70 - 1.7

4b = 7

Divide both sides by 4 to find how much one bagel costs.

b = 7/4 = 1.75

Therefore, one bagel costs $1.75

A doctor estimates that a particular patient is losing bone density at a rate of 3% annually. The patient currently has a bone density of 1,500 kg/mg3. The doctor writes an exponential function to represent the situation. Which values should the doctor use for a and b in a function written in the form f(x) = abx, where f(x) represents the bone density after x years?

Answers

Answer:

Step-by-step explanation:

gud question

how do i determine the dimensions of a rectangle

Answers

Area is Length x Width

Perimeter is 2L +2W

12
Mackenzie wants to buy a backpack that cost $60. If the tax rate is 7.5%, how much tax will she
pay?

Answers

Answer:

$4.5

Step-by-step explanation:

I'm gonna do my work on paper.

36,300,000 in scientific notation

Answers

Answer:

thirty-six million three hundred thousand

Step-by-step explanation:

It is just 36,300,000 in word form. Hope it helps!

Answer:

36300000 in scientific notation = 3.63 × 107.

Step-by-step explanation:

Cuantos ejes de simetría tiene un vaso una hoja de árbol piñata de 6 picos florero sin flores escalera y un árbol

Answers

Answer:

Una taza de vidrio tiene líneas verticales de simetría que pasan por la mitad del ancho perpendicular a la base.

Por lo tanto, una copa de vidrio bidimensional tiene una línea de simetría

Un par de anteojos tiene una línea de simetría que pasa por el punto medio del puente y es perpendicular al puente.

Una piñata de 6 puntas tiene tres ejes de simetría que atraviesan los tres pares lineales de piñatas.

Un jarrón bidimensional sin flores tiene líneas de simetría que pasan por el punto medio de la base y son perpendiculares a la base.

Una escalera simple tiene dos líneas de simetría, una que pasa por el punto medio y es perpendicular a la base, la otra es la línea de simetría horizontal que pasa por el punto medio de la longitud de la escalera y es perpendicular a la longitud de la escalera.

Step-by-step explanation:

It takes dariya 35 seconds to download 5 song

Answers

Answer:

7 seconds per song?

Step-by-step explanation:

Answer:

I assume you're asking how long it takes to download 1 song, which would be 7 seconds.

Step-by-step explanation:

Find the slope
-5/4
4/5
-4/5

Answers

Answer:

The slope of the line is [tex]\frac{4}{5}[/tex] ⇒ B

Step-by-step explanation:

You can find the slope of a line using any two points on the line (x1, y1) 1nd (x2, y2) by using this rule [tex]m=\frac{y2-y1}{x2-x1}[/tex]

Let us use this rule to answer the question

From the attached graph:

∵ The given line passes through points (-1, -2) and (4, 2)

→ That means point (x1, y1) = (-1, -2) and point (x2, y2) = (4, 2)

x1 = -1 and x2 = 4

y1 = -2 and y2 = 2

→ Substitute their values in the rule of the slope above

∴ [tex]m=\frac{2--2}{4--1}=\frac{2+2}{4+1}=\frac{4}{5}[/tex]

The slope of the line is [tex]\frac{4}{5}[/tex]

Find the average rate of change of g(x)=3x^2 ver the interval [-5, -3].

Answers

Answer:

ill help

Step-by-step explanation:

i need help it’s algebra 2

Answers

Answer:

I sorry can't help I'm doing Geometry

Two lines are parallel. Which of the following statements are true?
Select two answers that apply.
The lines do not intersect.
The lines have the same slope.
The lines intersect and form 4 right angles.
The lines intersect and form two pairs of congruent opposite angles, one acute pair and one obtuse pair.

Answers

Answer:

The lines do not intersect. and The lines have the same slope.

Step-by-step explanation:

The two statements that are true for parallel lines are:

The lines do not intersect.

The lines have the same slope.

Here, we have,

given that,

Two lines are parallel.

we have, given options are:

The lines do not intersect.

The lines have the same slope.

The lines intersect and form 4 right angles.

The lines intersect and form two pairs of congruent opposite angles, one acute pair and one obtuse pair.

now, we know that,

Parallel lines never intersect, and their slopes are equal.

The other two statements, that the lines intersect and form 4 right angles or two pairs of congruent opposite angles (one acute pair and one obtuse pair), are characteristics of perpendicular lines, not parallel lines.

so, we get,

The two statements that are true for parallel lines are:

The lines do not intersect.

The lines have the same slope.

learn more on parallel lines

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What is the slope of y=-1/2x+3

Answers

Answer:

slope = - [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - [tex]\frac{1}{2}[/tex] x + 3 ← is in slope- intercept form

with slope m = - [tex]\frac{1}{2}[/tex]

Given : A linear equation in two variables is given to us , which is y = -½ + 3 .

To Find : The slope of the line .

Solution : The given equation to us is y = -½ + 3 . This equation is also similar to form of a equation in slope - intercept form , which is ,

[tex]\large\boxed{\red{\bf y = mx + c }}[/tex]

Where , m is the slope of the line and c is the y - intercept of the line .

Now , on comparing the equation with the standard form , we have :

m ( slope ) = -½ .c ( y - intercept ) = 3 .

Hence the slope of the line is -½.

What is x (in degrees)

Answers

Answer: 4

Step-by-step explanation:

By the exterior angle theorem,

[tex]11x+32x=172\\\\43x=172\\\\x=\boxed{4}[/tex]

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