calculate the unit rate of change for each linear function using the formula. (4,9) (8,12) (16,18) (32,30)

Answers

Answer 1

Answer:

The unit rate of change is of [tex]\frac{3}{4}[/tex]

Step-by-step explanation:

We are given a set of points (x,y).

To find the unit rate of change, we take two points, and divide the change in y by the change in x.

Points (4,9) and (8,12)

Change in y: 12 - 9 = 3

Change in x: 8 - 4 = 4

Unit rate of change: [tex]\frac{3}{4}[/tex]


Related Questions

I need help with these 2 questions!! please 20 points!!!

Answers

9514 1404 393

Answer:

45 cm²38 cm²

Step-by-step explanation:

The conventional way to work these problems is to make use of the formulas for areas of a triangle, rectangle, and semicircle. If you've used these formulas for a while, you recognize that they give you certain relationships that may make these problems easy to do mentally.

__

1. The area of a triangle is half the product of height and width, so is equivalent to the area of a rectangle either half as high, or half as wide. We note that the width of the sail is 5 cm, so half that is 2.5 cm--exactly the same as the height of the boat's hull. That means we can add the height of the sail to the length of the boat, and the total area can be considered to be the same as that of a rectangle that is

  2.5 cm high × (12 cm + 6 cm) long = (2.5)(18) cm² = 45 cm²

__

2. The usual formula for the area of a circle is ...

  A = πr²

When expressed in terms of diameter, this becomes ...

  A = π(d/2)² = (π/4)d²

Then the area of a semicircle is half that, or (π/8)d². This is equivalent to the area of a rectangle that is "d" wide and "π/8·d" high. That is, the approximate area of the semicircle is that of a rectangle 4 cm high by (π/8·4 cm) = π/2 cm wide. In other words, the semicircle effectively adds π/2 cm to the left end of the 6 cm central rectangle of the figure.

As discussed above, the area of a triangle is equivalent to the area of a rectangle half as high. In this figure, the triangle is 10-6 = 4 cm wide, so can be considered to contribute 4/2 = 2 cm to the right end of the 6 cm central rectangle.

If we consider π ≈ 3, then the approximate area of the figure is ...

  (4 cm)(3/2 cm + 6 cm + 2 cm) = (4)(9.5) cm² = 38 cm²

__

The exact value is 4(8+π/2) = 32+2π ≈ 38.283 cm².

Your test in math class has problems worth 2 points and problems worth 4 points. Altogether the test has 100 points. Write an equation that represents the total points on the test formed by the number of 2-point problems and the number of 4-point problems.

Answers

Answer:

100 = 2x + 4y

Step-by-step explanation:

PLEASE ANSWER THIS QUESTION RIGHT.A ball thrown in the air has a height of h (t)
- 16t2 + 50t + 3 feet after t seconds.
Part A: What is the average rate of change for h(t) between t= 0 and t = 2?

A.36 Seconds per second
seconds per second
B.-36 feet per second
C.-18 seconds per second
D.18 feet per second

Answers

I think it’s B hope it’s right

This assignment is due in a little can you guys help me, please?

Answers

Answer and Step-by-step explanation:

First, read through the phrase and then break it down.

4 less than the product (multiplying) of 7 and a number (can be noted as 'x')

7x - 4 is the answer, since 4 will be less than the product of 7 and a number, with x being the placeholder.

#teamtrees #WAP (Water and Plant)

.) The total cost of a pizza and 3 drinks is $19. The price of the pizza is $10 and each drink is the

same price, d.

6) Which model represents the situation?

10

d

d

d

19

10

d

19

10-d

10-d

10-d

19

10

10

10

d

19

o

Answers

Answer:

The total cost of a pizza and 3 drinks is $19. The price of the pizza is $10 and each drink is the

same price, d.

6) Which model represents the situation?

solutions to 2-variable equations y=-2x-5

Answers

Answer:(1, -3).

Step-by-step explanation:

If y=2x-5 is equation (1) and 4x-y=7 is equation (2), then substitute equation (1) in equation (2):

4x - (2x - 5) = 7

4x - 2x + 5 = 7

2x = 7-5

2x = 2

x = 1

Now substitute the value of x in equation (1) to find the value of y:

y = 2 (1) - 5

y = 2 - 5

y = -3

Find the zero of the linear function F(x)=-4x+5

Answers

Answer:

[tex]\frac{5}{4}[/tex]

Step-by-step explanation:

we can find the zero of the linear function

F(x)= -4x+5 ,by solving the equation -4x+5 = 0

Solving the equation:

-4x+5 = 0

⇔ -4x = -5

[tex]\Longleftrightarrow x=\frac{-5}{-4} =\frac{5}{4}[/tex]

⇔ x = 1.25

A circular swimming pool is 12 feet across and is enclosed by a fence. How long is the fence? (Round your answer to one decimal place.)

Answers

Answer:

the length of the fence is 37.7 feet

Step-by-step explanation:

The computation is given below:

Given that

Diameter = 12 feet

So, the radius is the half of the diameter = 6 feet

Now the length of the fence is

= 2 × π × r

= 2 × 3.14 × 6

= 37.68 feet

= 37.7  feet

Hence, the length of the fence is 37.7 feet

The length of the fence will be 37.7 feet.

Based on the information given, we are informed that the circular swimming pool is 12 feet across and is enclosed by a fence. We want to calculate the perimeter.

The perimeter of a circle will be:

= πd

where,

π = 3.142

d = 12 feet

Therefore, the length of the fence will be:

=πd

= 3.142 × 12

= 37.7 feet

The length of the fence is 37.7 feet.

Read related link on:

https://brainly.com/question/19633520

Which value is equivalent to 8?

Answers

Answer:

I cant see the answers to help you.

Step-by-step explanation:

Parker drank 36 fluid ounces of a sports drink at her basketball game. How many pints did she drink

Answers

Answer:

2 1/4 pints

Step-by-step explanation:

create a ratio with the fact there are 16 ounces in 1 cup

let 'p' = number of pints

16 = 36

 1         p

cross-multiply:  16p = 36

                            p = 36/ 16, which is 9/ 4, or 2 1/4

A shop has this offer.
£5 reduction if you spend more than £80
or
£10 reduction if you spend more than £130
At the shop, dresses cost
£37 each.
Sue buys 3 dresses
Ann buys 5 dresses
or
£20 reduction if you spend more than £180
How much more than Sue does Ann pay?
Your final line should say, Ann pays £... more

Answers

Answer:

£59

Step-by-step explanation:

3×37=111 111-5=106

5×36=185 185-20=165

165-106=59

what is 0.5( -16p - 6) = ?​

Answers

Answer:

−8p−3

Step-by-step explanation:

At a restaurant, the bill comes to $30. If you decide to leave a 10% tip, how much total do you need to pay? Give your answer to the nearest dollar.

Answers

Answer:

$3

Step-by-step explanation:

you multiply 30 by 0.10 giving you 3

The ratio of girls to boys in Lizas classroom is 5 to 4 how manny girls are in her classroom if there is a total of 27 students.

Answers

Add the ratios: 5 + 4 = 9

Divide total students by 9:

27/9 =3

Girls are listed first so the 5 part of the ratio is girls.

Multiply 5 by the 3 from above:

5 x 3 = 15

There are 15 girls.

Answer:

There are 12 girls in the classroom because if you take 4+4+4=12 and you do the same with 5 so 5+5+5=15 then add them together you get 27. So, therefore, your answer would be 12

Step-by-step explanation:

A map is drawn to scale such that 1 inch equals 100 miles. To mark a distance of 500 miles, the length on the map must be_____ inches.

Answers

Answer:

5 inches

Step-by-step explanation:

its simple

1in-100m

500m= 100m x 5

so multiply five to the other side

1in x 5=5 in

5in-500m

Answer:

5 inches

Step-by-step explanation:

100 miles = 1 inch

500 miles = 500/100 * 1 = 5 inches

you're welcome....

Can someone help me Write an equation for this graph?

Answers

Y=2/3x-1 is the equation:)

What is the measure of angle M?

Answers

Answer:

35°

Step-by-step explanation:

4x+11 = 5x-24

5x-4x=x

x=24+11

x=35

of the last 60 people who went to the cash register at the department store, 16 had blomd hair, 20 had black hair, and 3 had red hair. determine the empirical probability the next person will have brown hair​

Answers

Answer: 20

Step-by-step explanation:

Answer: Plz don't come for me if its wrong but I think the answer is 21

Step-by-step explanation: Because there are 60 people in all and 16 had blond hair, 20 had black hair and 3 had red hair and 60-16-20-3=39 then you have to take 60-39 and you get 21

The width of a rectangle measures (5v-10w)centimeters, and its length measures (2v+3w)centimeters. Which expression represents the perimeter, in centimeters, of the rectangle?

A) −14w+14v
B)−10+6w+14v
C)−14+14v
D)7v−7

Answers

Answer:the perimeter of the rectangle =A) (−14w+14v) centimeters

Step-by-step explanation:

Step 1

The perimeter of a Rectangle is given as 2 (l+ w)

If Length = 2v+3w centimeters.

and width =5v-10wcentimeters

Then Perimeter =2 (2v+3w + 5v-10w)

Perimeter=2(7v -7w)

Perimeter= 14v - 14w or can be written as -14w +14v

Enter the missing number 57+[34+]=[57+34]+105

Answers

Answer:

105

Step-by-step explanation:

Find the area of the following shape:

Answers

Answer:

63 in^2

Step-by-step explanation:

Area = base x height

Base: 7

Height: 9

9 x 7 = 63

Answer:

63 inches squared or [tex]63in^{2}[/tex]

Step-by-step explanation:

The answer is 63 inches squared.

The area of a parallelogram is always base times height.

In this case, the base is seven and the height is nine.

To find the area, we must multiply nine by seven

We get 63

But, we are multiplying inches and inches together

When we multiply something by itself, it becomes squared

Since we are multiplying inches by inches, it becomes inches squared

Therefore, the area of the shape is 63 inches squared, or

[tex]63in^2[/tex]

Find the nonzero whole number in the definition of "less than" 22<34

Answers

Answer:

The inequality is always true.

True

(づ ̄ ³ ̄)づ

is that algebra?

PLEASE HELP!! I HAVE TO TURN IT IN BY THE END OFF THE DAY (PLEASE DONT GUESS)

Answers

Answer:

Step-by-step explanation:

There are two 35° angles, so the triangle is isosceles.

A rectangular prism has a volume of 60 cubic centimeters. The height of the prism is 3 centimeters. What is the area of the base? (Answer numerically only. Units have been provided) (PICTURE DOWN BELOW).

_____ square centimeters

Answers

Answer:

Area = 20 square centimeters

Step-by-step explanation:

V = lwh

V = lw3

V = 4x5x3

V = 60

A = lw

A = 4x5

A = 20

Classify the pair of angles as adjacent, vertical, supplementary, complementary, or neither.

Answers

Answer:

adjacent supplementary angles

Step-by-step explanation:

The angles labeled 1 and 2 are adjacent angles which are called a linear pair. their measure add up to 180 deg, so they are adjacent and supplementary angles.

Please help I will mark brainlist
True or False: The magnitude of a resultant vector will always be larger than individual vectors that are both in the first quadrant

Answers

Answer:

I believe that it is false

X+X+(60% of X)=180

Ez points plus brainliest

Answers

Answer:

x = 900/ 10 + 3fo

Step-by-step explanation:

Move all terms to the left side and set equal to zero. Then set each factor equal to zero.

Three times the smaller of two consecutive even integers increased by the larger integer i’d at least 26


Is 4 a solution to the inequality?


Is 6 a solution to the inequality?

Answers

Answer:

a is your correct answer

Answer:

6

Step-by-step explanation:

The ratio of the number of text messages sent by Diego to the number of text messages sent by his sister is 3 to 4. Diego sent 18 text messages. How many more text messages did his sister send?​

Answers

Answer:

His sister sent 6 more messages than Diego.

Step-by-step explanation:

Ratio of Diego's messages to his sister's messages = 3 : 4

Text messages sent by Diego = 18

Text messages sent by his sister = x

Ratio = 18 : x

It is a proportional relationship,

3 : 4 :: 18 : x

Product of extremes = Product of means

3x = 18*4

3x = 72

[tex]\frac{3x}{3}=\frac{72}{3}\\x=24[/tex]

Difference = 24 - 18 = 6

Therefore,

His sister sent 6 more messages than Diego.

In a class of 26 students, 11 are female and 10 have an A in the class. There are 2 students who are female and have an A in the class. What is the probability that a student is a female given that they have an A?

Answers

The probability that a student is a female given that they have an A is 0.2

How to determine the probability?

The given parameters are:

Female = 11

A= 10

Female and A = 2

The probability is calculated using:

P(Female given A) = P(female and A)/P(A)

This gives

P(Female given A) = 2/10

Simplify

P(Female given A) = 0.2

Hence, the probability that a student is a female given that they have an A is 0.2

Read more about probability at:

https://brainly.com/question/251701

#SPJ1

Other Questions
What made the congregation gossip when they saw Reverend Hooper walkinto the chapel with the black veil over his face in the story "The Minister'sBlack Veil"? On Saturday Tami petaled to the state park at 21 mi/hr. After lunch she rode back at 14 mi/hr. if her total riding time was 5 hours, how far was it to the park? I NEED HELP OMG PLSSSS Fran Bowen created the following budget: Budget Food $ 364 Clothing $ 164 Transportation 408 Personal expenses and recreation 307 Housing 994 She actually spent $331 for food, $416 for transportation, $1,046 for housing, $161 for clothing, and $259 for personal expenses and recreation. Calculate the variance for each of these categories, and indicate whether it was a deficit or surplus. who was Hatshepsut? (PLEASE HELP FAST) what is 65% of 80 ?????????????? Help plz:)))Ill mark u Brainliest Find the missing parts of each parallelogram Two trains, Train A and Train B, weigh a total of 381 tons. Train A is heavier than Train B.The difference of their weights is 193 tons. What is the weight of each train? I need this answer quick! Plss help with my science HOw far away can a person live from a radio station and hear its broadcast if the signal covers a circular area of 40000 square miles? Help PlsSteve is writing about this excerpt from The Jungle Book.Akela raised his old head wearily:"Free People, and ye too, jackals of Shere Khan, for twelve seasons I have led ye to and from the kill, and in all that time not one has been trapped or maimed. Now I have missed my kill. Ye know how that plot was made. Ye know how ye brought me up to an untried buck to make my weakness known. It was cleverly done. Your right is to kill me here on the Council Rock now. Therefore I ask, 'Who comes to make an end of the Lone Wolf?' For it is my right, by the Law of the Jungle, that ye come one by one."There was a long hush, for no single wolf cared to fight Akela to the death. Then Shere Khan roared: "Bah! What have we to do with this toothless fool? He is doomed to die! It is the man-cub who has lived too long. Free People, he was my meat from the first. Give him to me. I am weary of this man-wolf folly. He has troubled the jungle for ten seasons. Give me the man-cub, or I will hunt here always, and not give you one bone! He is a mana man's child, and from the marrow of my bones I hate him!"Steve makes the claim "Akela is willing to give his life for the Law of the Jungle.Which evidence from the text best supports this claim?Akela is willing to die because he missed the kill.Akela is willing to die because he is old and toothless.Akela is willing to die because Shere Khan makes a better leaderAkela is willing to die because he was tricked. Lucy cut 4 EQUIVALENT lengths of ribbon. Each was 5 eighths of a yard long. How many yards of ribbon did she cut? Express as MIXED number. During TCP/IP communications between two network hosts, information is encapsulated on the sending host and decapsulated on the receiving host using the OSI model. Match the information format with the appropriate layer of the OSI model.a. Packets b. Segments c. Bits d. Frames 1. Session Layer 2. Transport Layer 3. Network Layer 4. Data Link Layer 5. Physical Layer Express (x+1)^2 as a trinomial in standard form. 87 7/40 as a decimal QUESTION 2 of 10: You're opening a chic new restaurant and have 15 tables which are all square and can seat 4 people. However, you cancombine two tables to seat 6 or 3 to seat 8. for example. You have reservations for parties of 2,6, 8, 8, and 10. Once the guests arrive theystay for the night and each reservation expects their own private table. Can you accommodate everyone's reservation requests?A)Yesb) No pls answer this for me i would really appreciate it! i have a few minutes Prior to his role as chief justice, John Marshallwas a well-known Democratic-Republican.served in the House of Representatives.went to law school and made his living as an attorney. What is the purpose of the Hand Salute?