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

plzzz help I picked A already and it was wrong

Answers

Answer:

probably C I'm terrible at math but that look about right

3 3/10 divided by 1 4/7. divided in its lowest terms

Answers

Answer:

2.1

Step-by-step explanation:

Find the solution of the system of equations.
- 2x - 5y=-12
10x - 4y = 2

Answers

Answer:

[tex]x=1, y=2[/tex]

Step-by-step explanation:

[tex]\begin{bmatrix}-2x-5y=-12\\ 10x-4y=2\end{bmatrix}[/tex]

Isolate x for [tex]-\:2x\:-\:5y=-12[/tex]

[tex]-\:2x\:-\:5y=-12[/tex]

Add 5y to both sides.

[tex]-2x-5y+5y=-12+5y[/tex]

Simplify.

[tex]-2x=-12+5y[/tex]

Divide both sides by 2.

[tex]x=-\frac{-12+5y}{2}[/tex]

Substitute x for [tex]-\frac{-12+5y}{2}[/tex].

[tex]\begin{bmatrix}10\left(-\frac{-12+5y}{2}\right)-4y=2\end{bmatrix}[/tex]

Simplify.

[tex]\begin{bmatrix}-29y+60=2\end{bmatrix}[/tex]

Isolate y for [tex]-29y+60=2[/tex]

[tex]y=2[/tex]

Substitute y in [tex]-\frac{-12+5y}{2}[/tex] for 2.

[tex]x=-\frac{-12+5\cdot \:2}{2}[/tex]

Simplify.

[tex]x=1,\:y=2[/tex]

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The area of a rectangle is 2- 3/4 inch. ^2 If the length of the rectangle is 1/2 inch, what is the measurement of the width?

Answers

Answer:

The width of the rectangle = 1.15 inches

Step-by-step explanation:

Explanation:-

Given that the length of the rectangle = [tex]\frac{1}{2} inch[/tex]

The area of the rectangle = [tex]\frac{2.3}{4}[/tex] inch²

We have to find the width of the rectangle

The area of the rectangle = length × width

                                  [tex]\frac{2.3}{4} = \frac{1}{2} X width[/tex]

                    ⇒     2 × 2.3 = 4× width

                   ⇒      4.6 = 4 w

                  ⇒      w = 1.15 inches

Final answer:-

The width of the rectangle = 1.15 inches

Here are the first four terms of a number sequence.
8
14
20
26
Write down the next term of the number sequence and explain how you found your answer

Answers

8,14,20,26

8 to 14 is 6
14 to 20 is 6
20 to 26 is 6


The next term will be 26 + 6 = 32

Because there is a gap of 6 between each number

Which point is a solution to the equation 2x - y = 4?

Answers

Answer:

2x=  1 /2 y+ 2

Step-by-step explanation:

Solve for x.

2x−y=4

Add y to both sides.

2x−y+y=4+y

2x=y+4

Divide both sides by 2.

2x /2  =  y+4 /2

x= 1/ 2 y+2

The required point that is the solution to the equation 2x - y = 4 is at (2, -4)

In order to get the solution to the equation, we will need to get its x and y-intercept.

x- intercept is the point where y is zero.

Given the equation 2x - y = 4

If y = 0

2x - 0 = 4

2x = 4

x = 4/2

x = 2

Get the y-intercept

y intercept is the point where x = 0

if x = 0

2(0) - y = 4

-y = 4

y = -4

Hence the y-intercept is -4

The required point that is the solution to the equation is at (2, -4)

Learn more here: https://brainly.com/question/24609929

Isabella is making a display board for the school trip. The display board is 2.50m by 2m rectangle. She needs to cover the entire display board with card. How much card would she needs?

Answers

Answer:

5m^2

Step-by-step explanation:

Given data

Length of board= 2.50m

Width of board= 2m

The cover need should have the same area as the board

Area= Length*Width

Area= 2.5*2

Area=5m^2

Hence the area of the cover is 5m^2

If you invested $250 at 16% interest, how much would you have after 18 years?

Answers

Answer:

4,000

Step-by-step explanation:

Combine the like terms to create an equivalent expression. \large{7k-k+19}7k−k+19

Answers

A is correct trust promise

Answer:

The simplified expression is 6k+19 .

Step-by-step explanation:

Which expression means the same as "25 less that 5y"

Answers

Answer:5y-25

Step-by-step explanation:

Answer:

5y - 25

Step-by-step explanation:

that expression shown 25 less than 5y

hope this helps...

What type of triangle is triangle ABC?
Give your reasons for your answer:

Answers

Answer:

a. Isosceles

b. It has two equal angles

Step-by-step explanation:

✅<DCA = <BAC = 50° (alternate interior angles are congruent)

<ACB = 180 - (<BAC + <ABC) (sum of triangle)

<ACB = 180° - (50° + 80°) (substitution)

<ACB = 50°

✅∆ABC is an isosceles triangle judging from the measure of its three angles. ∆ABC has two equal angles. ∆ABC is therefore an isosceles ∆.

Write 34% as a fraction or mixed number in simplest form

Answers

17/50 = 34% Hope this helped

Marine biologists are concerned that pollution from a nearby factory has affected the health of local sea urchins. Which of the following is most likely to be the population of interest?
Choose the correct answer below
A 4 sea urchins with abnormal coloration
B. All of the sea urchins near the plant
C. All of the sea urchins in the entire ocean
D. 20 sea urchins gathered from tidal pools

Answers

Answer:

its C. all of the sea urchin in the entire ovean is the most likely to be the population of interest

The population of interest will most likely be option B. all of the sea urchins near the plant.

The term 'population of interest' refers to the group or number from which inference is made or done for research purposes. And from this group, the researcher will try to draw conclusions from his/her study.

A population of interest is generally taken for studies or statistical references.In the given scenario, the biologists found that the nearby factory is directly affecting the health of the local urchins.And in conducting the research, the population of sea urchins near the plant will be taken or regarded as the population of interest.

For the marine biologists to determine the extent of the factory's effect on the sea urchins, they would consider or take the sea urchins near the factory population as the population of interest. Thus, the correct answer is option B.

Learn more about population of interest here:

brainly.com/question/16976252

The city of Gainesville is trying to determine the average price for a gallon of gas. They randomly sampled 28 gas stations and found the sample mean to be $2.58 with a standard deviation of $0.09. Assume that all of the assumptions are met. Calculate a 95% confidence interval for the population mean gas price in Gainesville.

Answers

Answer:

The 95% confidence interval for the population mean gas price in Gainesville is between $2.54 and $2.62.

Step-by-step explanation:

We have the standard deviation of the sample, so we use the t-distribution to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 28 - 1 = 27

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 27 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 2.0.52

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}} = 2.052\frac{0.09}{\sqrt{27}} = 0.04[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is $2.58 - $0.04 = $2.54

The upper end of the interval is the sample mean added to M. So it is $2.58 + $0.04 = $2.62.

The 95% confidence interval for the population mean gas price in Gainesville is between $2.54 and $2.62.

What is the better buy? 2 for $3.00 (Or) 8 For $12.40

Answers

Answer:I say 8 for $12.40

Step-by-step explanation:

Answer:

8 for 12.50

Step-by-step explanation:

12.50/8 = 1.55

3.00/2= 1.50

youre getting 6 more pens for only 5 cents more

can someone show me the problems to 4/3 x 2/5 and 2/5 divided by 4/3

Answers

Answer:

8/15 and 3/10

$5200 at 7.36% for 54 months

a. Find the interest earned.

$

b. Find the balance of the account.

$

Answers

Answer:

Step-by-step explanation:

A)5200*54/12*7.36/100=5440.44

b)5200+5440.4410,640.44

Answer:

a. $1722.24 b. $6922.24

Step-by-step explanation:

for a: 5200*0.0736*54/12= 1722.24

for b: 1722.24+5200= 6922.24

What is 55 percent of 880?

Answers

Answer:

55% of 880= 484

Step-by-step explanation:

(55*100):880=
5500:880=6.25

6.25%

A statistician chooses 27 randomly selected dates, and when examining the occupancy records of a particular motel for those dates, finds a variance of 34.34 and a standard deviation of 5.86 rooms rented. If the number of rooms rented is normally distributed, find the 95% confidence interval for the population standard deviation of the number of rooms rented. Interpret your interval in context.

Answers

Answer:

Confidence interval variance [21.297 ; 64.493]

Confidence interval standard deviation;

4.615, 8.031

Step-by-step explanation:

Given :

Variance, s² = 34.34

Standard deviation, s = 5.86

Sample size, n = 27

Degree of freedom, df = 27 - 1 = 26

Using the relation for the confidence interval :

[s²(n - 1) / X²α/2, n-1] ; [s²(n - 1) / X²1-α/2, n-1]

From the chi distribition table :

X²α/2, n-1 = 41.923 ; X²1-α/2, n-1 = 13.844

Hence,

[34.34*26 / 41.923] ; [34.34*26 / 13.844]

[21.297 ; 64.493]

The 95% confidence interval for the population variance is :

21.297 < σ² < 64.493

Standard deviation is the square root of variance, hence,

The 95% confidence interval for the population standard deviation is :

4.615 < σ < 8.031

The population variance of 95% confidence interval is [tex]4.615<\sigma<8.031[/tex] and this can be determined by using the given data.

Given :

Variance = 34.34Standard Deviation = 5.86Sample Size = 2795% confidence interval

First, determine the degree of freedom.

[tex]df = 27-1=26[/tex]

The determine the confidence interval using the below formula:

[tex]\left(\dfrac{s^2(n-1)}{X^2_{\alpha/2,(n-1) }}\right);\left(\dfrac{s^2(n-1)}{X^2_{(1-\alpha)/2,(n-1) }}\right)[/tex]

Now, using the chi distribution the above expression becomes:

[tex]\left(\dfrac{34.34\times 26}{41.923 }}\right);\left(\dfrac{34.34\times 26}{13.844 }}\right)[/tex]

Simplify the above expression.

(21.297 ) ; (64.493)

So, the population variance of 95% confidence interval is:

[tex]\begin{aligned}\\21.297&<\sigma^2<64.493\\4.615&<\sigma<8.031\\\end{alingned}[/tex]

For more information, refer to the link given below:

https://brainly.com/question/7635845

Enter the number that belongs in the green box

PLEASE HELP FAST

Answers

The answer in the green box should be 9.

This is another 2 step. Please be sure to answer the question fully and show all of your work! I don't like reporting people.

Answers

Answer:

JR = 29∠JLM = 25°

Step-by-step explanation:

Diagonals of the parallelogram bisect each other

Note. The first question is repeated as A and B

A) KR = 1/2KM

Substitute and solve for x:

x + 7 = 1/2(3x - 5)2x + 14 = 3x - 53x - 2x = 14 + 5x = 19

Find JR

JR = 1/2JL JR = 1/2(4x - 10) = 2x - 5 = 2*19 - 5 = 34 - 5  = 29

B)

∠LJM ≅ ∠JLK as alternate interior angles∠JKL ≅ ∠JML as opposite angles of parallelogram

Interior angles of the triangle sum to 180°:

m∠JLK + m∠LJK + m∠JKL = 180°m∠JLM = m∠JLK = 180° - (56° + 27° + 72°) = 25°

Set up an equation and use it to solve for X
(6x + 3)
33°

Answers

9514 1404 393

Answer:

  24

Step-by-step explanation:

The angles of a linear pair are supplementary.

  (6x +3)° +33° = 180°

  6x = 144 . . . . . . . . . . . divide by °, subtract 36

  x = 24 . . . . . . . . divide by 6

-(-10)=?
Please help me with this equation!!

Answers

Answer:

+10

positive 10

:))))))))))

MARKING BRAINLY ASAP

Answers

Answer:

https://brainly.com/question/20936691

I answered it here, but you might have to search the answers for part A. Sorry.

The sales tax for an item was $36.80 and it cost $460 before tax.
Find the sales tax rate. Write your answer as a percentage.

Answers

Answer:

16,928

Step-by-step explanation:

just solve it in calculation so you can see the answer

and remember study hard to go to bts concert joke to your dream

6. The sum of two numbers is 30. The sum of the
first number and three times the second number
is 54. What is the product of the two numbers?

Answers

The numbers are 18+12=30 or 18 and 12.
18+12x3=54
The product of the numbers is 216.

You have inherited land that was purchased for $65,000 in 2015. The value of the land
increased by approximately 5% per year. What is the approximate value of the land in
the year 2030?

Answers

Answer:

in 2030 the land will aproxmatly be worth $113750

Step-by-step explanation:

Will mark brainlist please help!!!!

Answers

Answer:

f(-3)= -8

f(2) = 4

Step-by-step explanation:

The first equation x ≤ 0 means that if the variable x, or in our case, -3, is less than or equal to 0, the answer will be calculated into the equation.

3(-3) + 1 = -8

The bottom equation x ≥ 2 means that if the variable, x, or in our case, 2 is more than or equal to 2, the answer is 4. Since 2 is equal to 2, the answer would then be 4.

algebra what is 6a6 over 2a2=

Answers

Answer:

3a^4

Step-by-step explanation:

Simplify the expression.

Help plz:)))I’ll mark u Brainliest

Answers

Answer:

x = 12

Step-by-step explanation:

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