A relation is plotted as a linear function on the coordinate plane starting at point E at(0, 27)and ending at point F at (5, â’8). What is the rate of change for the linear function and what is its initial value? Select from the drop-down menus to correctly complete the statements. The rate of change for the linear function is Choose. And the initial value is Choose. .

Answers

Answer 1

The rate of change of a linear function is the slope of the function.

The rate of change is -7 and the initial value of the function is 27

The points are given as:

[tex]E = (0,27)[/tex]

[tex]F = (5,-8)[/tex]

The slope (m) is calculated as:

[tex]m = \frac{y_2 - y_1}{x_2 -x_1}[/tex]

So, we have:

[tex]m = \frac{-8 - 27}{5-0}[/tex]

Rewrite the fraction as:

[tex]m = \frac{- 35}{5}[/tex]

Divide -35 by 5

[tex]m = -7[/tex]

So, the rate of change is -7

The initial value of the function is the value of the function when the input value (i.e. x) is 0.

At point E, we have: [tex]E = (0,27)[/tex]

So, the initial value of the function is 27

Read more about linear functions at:

https://brainly.com/question/15602982

Answer 2

The rate of change for the linear function is -7 and the initial value is 27.


Related Questions

Select each expression that has a value of 15 when x = 15.
A. x3 + 10
B. 15,521 ÷ x
C. (3,015 ÷ x) – 186
D. 20x2 ÷ 30
E. 2x25 – 25

Answers

The answer is C.
3,015 divided by 15=201-186=15

Mrs. Owens had to call the local plumber to install a hot water heater. the equation y= 50x+75 is the relationship between his hours worked (x) and the amount of the bill (y).A. How much money did the plumber charge for the service call? How can you tell from the equation?B. How much is the plumber charging per hour? How can you tell from the equation?

Answers

Answer:

A. He charges 75 dollars for the service call because the y-intercept of the equation is 75.

B. He charges 50 dollars per hour because the slope of the equation is 50.

Step-by-step explanation:

who wants to text back and forth pls add me

Answers

Answer:

..........uh ok but u do know that u need to answer questions and get points to talk to users....right..?

From this pie chart answer the following:

(i) If 20 people liked classical music, how many young people were surveyed?
(ii) Which type of music is liked by the maximum number of people?

Answers

200 people were surveyed.light music

1. A vendor at the farmer's market was selling a bag of 8 potatoes for $2.56. Another
vendor was selling a bag of 10 potatoes for $4.32. Which bag is the better deal?

Answers

Answer:

The second bag is the better deal

Step-by-step explanation:

8÷2.56= $3.13 per potato

10÷ 4.32= $2.31 per potato



Which choice is similar to the figure shown?

Answers

First choice in the upper left corner.


It is the same shape with same proportions, just dilated.
2/5 = 0.4
8/20 = 0.4

Darren got 42 out of 56 questions correct on a test. What percent of the questions did he get correct?

Answers

Answer:

75%

42/56 =  42/56

Convert to decimal form:

42÷56 = 0.75

= 75%

Can you mark as brainliest if its right?

Answer:

75%

Step-by-step explanation:

42/56 = 0.75 = 75%

find the derivative of sin2X

Answers

Step-by-step explanation:

Derivation using Product rule : -

To find the derivative of f(x) = sin 2x by the product rule, we have to express sin 2x as the product of two functions. Using the double angle formula of sin, sin 2x = 2 sin x cos x. Let us assume that u = 2 sin x and v = cos x. Then u' = 2 cos x and v' = -sin x. By product rule,

f '(x) = uv' + vu'

= (2 sin x) (- sin x) + (cos x) (2 cos x)

= 2 (cos2x - sin2x)

= 2 cos 2x

This is because, by the double angle formula of cos, cos 2x = cos2x - sin2x.

Thus, derivation of sin 2x has been found by using the product rule.

Answer:

2cos2x

Step-by-step explanation:

Using the Chain rule

[tex]\frac{d}{dx}[/tex] (sin2x)

= cos2x × [tex]\frac{d}{dx}[/tex] (2x)

= cos2x × 2

= 2cos2x

#7 What is f(4) if f(1) = 3.2 and f(x + 1) = 2.5f(x)?

Answers

Answer:  50

========================================================

Explanation:

We're given f(1) = 3.2 which says the first term of the sequence is 3.2

To find the second term, we use the other equation, which is the recursive equation. Plug in x = 1 to get...

f(x+1) = 2.5*f(x)

f(1+1) = 2.5*f(1)

f(2) = 2.5*f(1)

f(2) = 2.5*3.2

f(2) = 8

The second term is 8. We multiplied the previous term (3.2) by the factor 2.5 to get this second term.

The third term is handled pretty much in a similar fashion

third term = 2.5*(second term)

third term = 2.5*8

third term = 20

Lastly, the fourth term f(4) is...

f(x+1) = 2.5*f(x)

f(3+1) = 2.5*f(3)

f(4) = 2.5*f(3)

f(4) = 2.5*20

f(4) = 50

The fourth term is 50.

The first four terms are: 3.2, 8, 20, 50

the price of a bag was rupees 700 last it increased 2% this year, what is the price now​

Answers

Answer:

14

Step-by-step explanation:

Percentage increase =

2% × 700 =

2 ÷ 100 × 700 =

2 × 700 ÷ 100 =

1,400 ÷ 100 =

14

Answer:

Step-by-step explanation:

In order to use a percent in the math work, it must be changed to a decimal, so instead if 2% use .02

700 × .02 = 14

14 is the amount of the increase, so it must be added onto the strarting amount.

700 + 14 = 714

A different way to do this is to say the new amount will be all of the original amount (100%) and also the increase (2%) So in just one step we can calculate th new amount

700 × 1.02 = 714

714 is the price now.

I'VE ASKED THIS 4 TIMES ALREADY. DOUBLE POINTS PLEASE HELP!!!

Please help! Write an equation of the line passing through the point (6,-4) that is perpendicular to the line y=1/3x-9

Answers

Answer:

y=-3x-14

Step-by-step explanation:

y=mx +c

m= 1/3

perp m= -3

goes through point (6,-4)

sub numbers

A class of 25 students has 12 females. What is the ratio of males to females?
PLZ ANSSWER QUICK ITS URGENT FOR MY HOME-WORK!!!

Answers

the ratio is 13 males and 12 females or 13:12

a ______ is a line that is perpendicular to a line segment and intersects the line segment at its midpoint?

Answers

I think it’s Perpendicular Bisectors

Answer:

Perpendicular Bisectors

Step-by-step explanation:

Recall that a perpendicular bisector intersects a line segment at its midpoint and is perpendicular.

20 points.

The midpoint of AB is (-1, 5) and the coordinates of point A are (-3, 2) what are the coordinates of point B? ​

Answers

Answer:

B (1, 8 )

Step-by-step explanation:

Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

( [tex]\frac{x_{1}+x_{2} }{2}[/tex] , [tex]\frac{y_{1}+y_{2} }{2}[/tex] )

with (x₁, y₁ ) = A (- 3, 2 ) and (x₂, y₂ ) = B (x, y )

Calculate the midpoint values and equate to the corresponding coordinates of the given midpoint (- 1, 5 ) , that is

[tex]\frac{-3+x}{2}[/tex] = - 1 ( multiply both sides by 2 )

- 3 + x = - 2 ( add 3 to both sides )

x = 1

[tex]\frac{2+y}{2}[/tex] = 5 ( multiply both sides by 2 )

2 + y = 10 ( subtract 2 from both sides )

y = 8

Then point B = (1, 8 )

Select the correct answer from each drop-down menu.

Answers

Answer:

so sorry i don't know the answer

is the sum of two rational numbers always rational

Answers

Answer:

in short, Yes they are always rational.

here's why...

E.g. suppose [tex]\frac{c}{d}[/tex] and [tex]\frac{a}{b}[/tex] are fractions, that means that a,b,c,d are all integers, and b and d are not zero. finding the sum the numerator, and denominator would also have to be integers. the denominator of the sum can't be zero since the denominators of the fractions were not zero, and would give [tex]\frac{ad+bc}{bd}[/tex] and since they are bound by addition (sum means addition) they must also be rational since eit would equal a bigger integer than initially had

Step-by-step explanation:

help me 20 pts pls and brainliest

Answers

Answer:

elaboration

Step-by-step explanation:

tthe definition of elaboration is the addition of more detail concerning what has already been said. so out of these options, elaboration best fits answers the question

C :Elaboration



To elaborate means to give more clarification about something

Jarrod earns $12 an hour at his job. The table shows what Dale earns at his job. Which statement is true?

Answers

Answer:

Need the table, and the statements

Step-by-step explanation:

How i can answer this question, NO LINKS, if you answer correctly i will give u brainliest!

Answers

Answer:

It is too garlicky.

Step-by-step explanation:

lol, uhm, this is a little bit of a strange question ngl, but I guess it's testing you on measurements and units, right?

Well, 12 gloves of garlic for every 900 mL of sauce in comparison to 8 cloves of garlic for every 500 mL of sauce is quite a difference to be honest, might even be too much in her opinion. 8 cloves for every 500 mL is more than 12 cloves for every 900 mL, so I'd say she'll think it's too garlicy.

I apologize, in advance, if I am incorrect.

David has a loyalty card good for a 19% discount at his local hardware store. What would his total in dollars and cents be, after the discount and before tax, if the total cost of all the items he wants to buy is $32? Round to the nearest cent.

Answers

Discounts are used to reduce the original price of an item.

David will pay $25 and 92 cents for an item of $32, before tax

The discount (d) is given as:

[tex]d =19\%[/tex]

The price (p) of the item is given as:

[tex]p = \$32[/tex]

So, the amount (A) paid before tax is calculated using:

[tex]A = p \times (1 - d)[/tex]

Substitute known values

[tex]A = \$32 \times (1 - 19\%)[/tex]

Express percentage as decimal

[tex]A = \$32 \times (1 - 0.19)[/tex]

Subtract 0.19 from 1

[tex]A = \$32 \times 0.81[/tex]

Multiply 32 and 0.81

[tex]A = \$25.92[/tex]

Hence, David will pay $25 and 92 cents for an item of $32, before tax

Read more about discounts at:

https://brainly.com/question/11538623

The table shows the average temperatures of different cities on a particular day. On a number line, which city's temperature will be between the temperatures of Manning and Stanville?

Answers

Answer:

chicken tender

Step-by-step explanation:

rgerr

Answer:

Step-by-step explanation:

-3x-2y=-6
-3x+2y=18
(?,?)

Answers

[tex]\left \{ {-3x-2y = -6} \atop {-3x+2y=18} \right. <=>\left \{ {-6x=12} \atop {-3x+2y=18} \right. <=> \left \{ {x=-2} \atop {y=6} \right.[/tex]

The answer: ( x ; y ) = ( -2 ; 6 )

Ok done. Thank to me :>

Mrs. Yamamoto is taking her class to the theater. The total cost for the students' tickets is $55.
Let y represent the number of students in Mrs. Yamamoto's class. Which expression
renresents the cost of each ticket in dollars?

Answers

Answer:

look it up i need my coins

Step-by-step explanation:

55 dollars divided by the cost of t tickets shows how many students there are.

It takes 2 yards of material to
make 6 scarves, how many yards of material are needed to make 24
scarves?

Answers

12 scarves are made

Hope this helped

Brienne stated that 0.33 and
1/3 are equivalent. Do you agree? Explain why or why
not.

Answers

Answer:

it is not

Step-by-step explanation:

0.33 is rounded off whereas 1/3 would have a continued decimal of 3, i.e. 0.333333333

There were 264 pieces of broccoli and 60% of them were covered in cheese how many of them were covered in cheese

Answers

Answer:

158.4 pieces of brocoli were covered in cheese

Step-by-step explanation:

Solve for x.

x2 + 4x - 21 = 0

Answers

2x + 4x - 21 = 0
6x - 21 = 0
6x = 21
x=3.5

how to multiply workout


Answers

Answer:

Steps to multiply using Long Multiplication

Multiplying 2-Digit by 2-Digit Numbers

Let us multiply 47 by 63 using the long multiplication method.

1. Write the two numbers one below the other as per the places of their digits. Write the bigger number on top and a multiplication sign on the left. Draw a line below the numbers. 

 

2. Multiply ones digit of the top number by the ones digit of the bottom number.

Write the product as shown.

 

3. Multiply the tens digit of the top number by the ones digit of the bottom number.

This is our first partial product which we got on multiplying the top number by the ones digit of the bottom number.

 

4. Write a 0 below the ones digit as shown. This is because we will now be multiplying the digits of the top number by the tens digit of the bottom number. Hence, we write a 0 in the ones place.

 

5. Multiply the ones digit of the top number by the tens digit of the bottom number.

 

6. Multiply the tens digit of the top number by the tens digit of the bottom number.

This is the second partial product obtained on multiplying the top number by the tens digit of the bottom number.

 

7. Add the two partial products.

 

In long multiplication method, the number on the top is called the multiplicand. The number by which it is multiplied, that is, the bottom number is called the multiplier.

So, a long division problem will have:

We follow the same method for multiplying numbers greater than 2-Digits.

The figure below shows the long division method to multiply 357 by 23

There are 72 apples on my tree at home; 38 are red, and the rest are green. I know 46 of the apples have worms in them, so I can’t use them for cooking. What is the maximum number of green apples I could have left to cook with?​

Answers

Step-by-step explanation:

72 apples.

38 red, and therefore 72-38 = 34 green.

46 have worms, therefore 72-46 = 26 have not.

and so, in the best case you have 26 green apples without worms.

If a line has a slope of 2 and contains the point (-2, 1), what is its equation in
point-slope form?
O A. y-1 = 2(x-2)
O B. y-1 = 2(x+ 2)
O C. y-2 = -2(x-1)
O D. y + 2 = -2(x - 1)
SUBMIT

Answers

Answer: The point-slope form is: y - 1 = 2(x + 2). Therefore, the answer is B.

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