This table shows a linear relationship. x 5 6 7 8 9 y 33 39 45 51 57 Based on the information in this table, which equation can be used to model the relationship between x and y? A y = 3x + 6 B y = 6x + 3 C y = 3x D y = 6x

Answers

Answer 1

Answer:

B. y = 6x + 3

Step-by-step explanation:

Given

x = {5, 6, 7, 8, 9} andy = {33, 39, 45, 51, 57}

The equation in slope- intercept form:

y = mx + b

Using two pairs of coordinates (5, 33), (6, 39), we will find the slope:

m = (39 - 33)/(6 - 5) = 6/1 = 6

Using one point (5, 33) to find the y-intercept:

33 = 6*5 + b ⇒ b = 33 - 30 ⇒ b = 3

The equation is:

y = 6x + 3

Correct option is B


Related Questions

You buy a new car that cost $25000. The car depreciates at a rate of 11% per year.

Answers

The value of the car after 1 year will be $22,250 when it had a depreciation of 11%.

What is depreciation?

Depreciation is a term used in accounting to describe two different aspects of the same idea: first, the actual decline in fair value of an asset, such as the annual decline in value of factory equipment due to use and wear, and second, the allocation in accounting statements of the asset's initial cost to the periods in which it is used (depreciation with the matching principle).

Depreciation is the process of reallocating, or "writing down," the cost of a tangible item (such as equipment) over the course of that asset's useful life.

It also refers to the decline in asset value. Long-term assets are depreciated by businesses for accounting and tax reasons.

So, we know that the price of the car is:

$25000

Depreciation is 11%.

The value of the car after 1 year will be:

25000/100 * 11 = $2,750

25000 - 2,750 = $22,250

Therefore, the value of the car after 1 year will be $22,250 when it had a depreciation of 11%.

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Complete question:

You buy a new car that cost $25000. The car depreciates at a rate of 11% per year. What will be the value f the car after 1 year?

ABCD is a rhombus. Explain why ABC = ACDA.

ABCD is a rhombus. Explain why ABC = ACDA.

Answers

Answer:

  SSS congruence

Step-by-step explanation:

All sides of a rhombus are the same length. The diagonal AC is congruent to itself, so ΔABC ≅ ΔCDA by the SSS congruence postulate.

Triangle DEF measures as shown below. What is x in the diagram?
E
50"
1050
F
D

Triangle DEF measures as shown below. What is x in the diagram?E50"1050FD

Answers

Answer:

option D

Step-by-step explanation:

Exterior angle = sum of interior

               105 = 50 + x

               105 - 50 = x

                      55° = x

Solve the inequality 2x^2-6>0

Answers

Answer:0

Step-by-step explanation:

Mai's class volunteered to clean a park with an area of square mile. Before they took a lunch break, the class had cleaned of the park. How many square miles had they cleaned before lunch?

Answers

The class had cleaned x × A square miles before lunch.

Let's assume that the area of the park is A square miles, and the portion of the park cleaned by Mai's class before the lunch break is represented by x (a fraction or decimal between 0 and 1).

If the class had cleaned x portion of the park, then the area they had cleaned is x times the total area of the park:

Area cleaned before lunch = x × A

Since x represents a fraction or decimal, multiplying it by the total area A gives us the corresponding portion of the park that was cleaned.

Let's say the park has an area of A square miles, and the area that Mai's class cleaned up before lunch is denoted by the number x (a fraction or decimal between 0 and 1).

If the class had cleaned a certain percentage of the park, their cleaned area would be x times the park's overall area:

Before lunch, the area was cleaned = x A

We may calculate the proportion of the park that was cleaned by multiplying x by the entire area A because it indicates a fraction or decimal.

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Please if anyone can help me

Please if anyone can help me

Answers

I am unable to see the picture ( if you have one) try re uploading and I can help

The pay collected for working per hour is known as your hourly wage. It varies directly linearly with the hours that you work.
A. If you earn $100 when you work for 8 hours, what is your hourly wage?

B. Use your answer for (A) to write a direct linear variation equation.

C. If you work for 5 hours, how much will you earn?
show your work

Answers

Answer:

hola

Step-by-step explanation:

es buena la app.verdad gracias


Rewrite in simplest terms: 0.1d – 0.5(8d – 10)

Answers

Answer:

...

Step-by-step explanation:

0.1d - 4d -5

Answer:

-3.9d-5

I believe this is the answer! Hope this helps!

Multiply using the associative property.
Enter your answer by filling in the boxes.
(7×5) x2=
(7×5) x2=7x
(7 × 5) x 2 =
X
x 2)
Answer this problem

Multiply using the associative property.Enter your answer by filling in the boxes.(75) x2=(75) x2=7x(7

Answers

The answer of (7 ×5) ×2 using associative property is 70.

What is associative property?

(a ×b) ×c = a ×(b ×c) and (a+b)+c = a+(b+c)

Addition and multiplication are supported by the associative property but not division and subtraction.

Using associative property ,

(7 ×5) ×2 = 7×(5 ×2)

(7 ×5) ×2  =  7×10

(7 ×5) ×2  =  70

Therefore, the answer of (7 ×5) ×2 using associative property is 70.

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To carry a bag of 50kg rice at the distance of 4
km a porter charges Rs.75. How much does the
porter charge at the same rate to carry a bag of
80kg rice to the distance of 10km?
b. 500
d. 700
a. 400
c. 600

Answers

Answer:

The porter charges Rs 300 at this rate.

Step-by-step explanation:

We solve this question by proportions, using rule of three.

75 Rs - 4 km - 50 kg

x Rs - 10 km - 80 kg

Relationship between the variables:

As the distance, or the weight increase, the rate will increase. This means that:

\(\frac{75}{x} = \frac{4*50}{10*80}\)

\(\frac{75}{x} = \frac{200}{800}\)

\(\frac{75}{x} = \frac{2}{8}\)

\(x = \frac{75*8}{2} = 75*4 = 300\)

The porter charges Rs 300 at this rate.

Help ASAP thank you !,!,

Help ASAP thank you !,!,

Answers

Answer:

9.25x \(\geq\) 242

Step-by-step explanation:

The equation can be setup like this:

9.25x + 12L \(\geq\) 342.

We know how many times we mowed, 10.

We can now plug in 10 for L and get this as our equation:

9.25x + 12(10) \(\geq\) 342

Simplifying further gives us 9.25x \(\geq\) 242.

Find a formula for the described function. A rectangle has perimeter 8 m. Express the area A of the rectangle as a function of the length, L, of one of its sides. State the domain of A

Answers

The domain of the area of the given rectangle is; 0 < A < 1

How to change the subject of the formula?

The subject of a formula is defined as the variable that is being worked out. This subject of formula can be easily recognized as the letter that is on its own on one side of the equals sign. For example, in the formula for the area of a rectangle A = bh, the subject of the formula is A.

Now, we are told that the rectangle has perimeter of 8 m.

The formula for the perimeter of a rectangle is;

P = 2(L + W)

We are told that the perimeter is 8 m. Thus;

2(L + W) = 8

L + W = 4

W = 4 - L

Formula for area of a rectangle is;

A = LW

Thus;

A = L(4 - L)

A = 4L - 4L²

At A = 0, we have L = 0 OR 1

The value of A cannot be zero or 1 and as such the domain of A is the;

0 < A < 1

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if you answer your a true king​

if you answer your a true king

Answers

Answer:

its 29

Step-by-step explanation:

Dylan hit the ball 48 out of the 60 times he was up to bat. The rest of the time, he snuck out. Approximately what percent did dylan strike out?

Answers

Answer:

20 percent

Step-by-step explanation:

(I had such a good explanation and accidentally refreshed the page)

So basics

48/60 is in

12/60 is out

Now we focus on out

we know this 12/60 becuase 48 is in and there are 60 tries so 60-48=12

So now 12/60 into a percent

A percent is basically x/100

So we gotta make 12/60 into a fraction with a denominator of 100

SO simplify fto make it easier (try to get it to 4,2,5,10,50,25 anything that goes into 100)

1/5

1/5 is 20 percent

thats a benchmark

But if you don’t know

You can always do a pro proton

1/5=x/100

Cross multiply

100=5x

x=20

Joseph is looking to book a magician for his son’s birthday party. He found these options in the newspaper:

WhoaMagik: $165 a day. Take 10% off the original price and receive
a $50 rebate.

Magic4U: $130 a day. Get 15% off the original price and an $11 rebate.

MAGICTime: $179.99 a day. Receive a $60 rebate.

Which statement about the 3 booking options is true?
A WhoaMagik has the best sale price of $148.50 a day.
B Magic4U has the best sale price of $99.50 a day.
C WhoaMagik has the best sale price of $98.50 a day.
D MAGICTime has the best sale price of $119.99 a day.

Answers

Answer:

 

(2a+3b)² - (16c)² = (2a + 3b - 16c)×(2a + 3b + 16c)

Step-by-step explanation:

Your firm will base some expensive decisions on the results of your hypothesis test, so your boss wants to have a high standard of evidence for rejecting the null hypothesis. What should you do?
A. Throw out observations that look suspicious
B. Increase the significance level to 10%
C. Reduce the significance level to 1%
D. Keep the significance level the same but collect more data

Answers

Answer:

D. Keep the significance level the same but collect more data

Step-by-step explanation:

The significance level is the probability of rejecting the null hypothesis when it is true.  For example, a significance level of 0.05 indicates a 5% risk of concluding that a difference exists when there is no actual difference.  This significance level is usually established initially and does not need to be changed.

But, you can collect more data to gain a high standard of evidence for rejecting the null hypothesis.  More data gives more evidence and leads to a result that is not attributed to chance, thus, proving that the result is statistically significant.

Find the value of x
-1
1
27
x + 18
24
x+16

Find the value of x-1127x + 1824x+16

Answers

The value of x in the chord of the circle using the chord-chord power theorem is 0.

What is the value of x?

The chord-chord power theorem simply state that "If two chords of a circle intersect, then the product of the measures of the parts of one chord is equal or the same as the product of the measures of the parts of the other chord".

From the figure:

The first chord has consist of 2 segments:

Line segment 1 = 27

Line segment 2 = ( x + 16 )

The second chord also consist of 2 sgements:

Line segment 1 = 24

Line segment 2 = ( x + 18 )

Now, usig the Chord-chord power theorem:

27( x + 16 ) = 24( x + 18 )

Solve for x:

27x + 432 = 24x + 432

27x - 24x = 432 - 432

3x = 0

x = 0

Therefore, the value of x is 0.

Option D) 0 is the correct answer.

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one card is drawn from a pack of 52cards each of the 52 cards being equally likely to be drawn. what is the probability that the card drawn is a king? ​

Answers

The probability of drawing a king from a standard deck of 52 cards is 1/13.

In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.

To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).

The total number of possible outcomes is 52 because there are 52 cards in the deck.

The favorable outcomes, in this case, are the four kings.

Therefore, the probability of drawing a king is given by:

Probability = (Number of favorable outcomes) / (Number of possible outcomes)

= 4 / 52

= 1 / 13

Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.

This means that out of every 13 cards drawn, on average, one of them will be a king.

It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.

Each draw is independent, and the probability of drawing a king is constant.

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25 POINTS PLUS I'LL GIVE YOUR BRIANLEST HOWEVER YOU WANNA SPELL IT

25 POINTS PLUS I'LL GIVE YOUR BRIANLEST HOWEVER YOU WANNA SPELL IT

Answers

Answer:

The answer is STOP BEING PRESSED OMMG THE GUY BELOW DID C TOO SO :C :(((

I need Help ASAP I will give you brainlest and plus 5 stars ✨✨and plus thanks and 100 points

I need Help ASAP I will give you brainlest and plus 5 stars and plus thanks and 100 points

Answers

Answer:

14.

There are twice as many flute players as there are trumpet players, so f = 2 × 5

15.

Let the cost of 1 tickets = be x then the equation of total cost is:

8 × x = 208

Solve for x:

x = 208/8

x = 26

Each ticket costs $26.

16.

Let the low temperature be x then the equation for high temperature is:

x + 24 = 92

Solve for x:

x = 92 – 24

Evaluate:

x = 68

The low temperature was 68°F.

17. A number is checked if it is a solution of an equation or not by substituting its value in the equation and simplifying it. If the left and right hand side of the equation are equal then the number is a solution of the equation otherwise not.

Step-by-step explanation:

Findthe
y -intercept
oftheparabolay = x2 + 3x − 6.

Answers

Answer:

(0, -6) is the y-intercept.

Darion spends $6.24 on apples that are $2.40 per pound. How many pounds did Darion purchase?

Answers

Answer:

2.6 pounds

Step-by-step explanation:

$6.24 (total amount spent) / $2.40 (price per pound) = 2.6 pound purchased

I hope this helps :)

Answer:

HOLA

Step-by-step explanation:

This is what it feels like when you wrote "Hola" on my questions

what is the range of the following data 7,5,9,10,1,2,2,8

Answers

Answer:

9

Step-by-step explanation:

what is the value of x?

what is the value of x?

Answers

Answer:

x=4

Step-by-step explanation:

By SAS we know that

\(\triangle ABE \sim \triangle ADC\)

by a ratio of

\(1:2\)

so we have

\(\frac{BE}{DC}=\frac{1}{2}\\\\2BE=DC\\\\2(x+2)=12\\\\2x+4=12\\\\2x=12-4\\\\2x=8\\\\x=4\)

Find a, b & c value

Find a, b &amp; c value

Answers

The value of a, b and c are found as 6, 10 and 2 respectively.

Explain about the exponents of the number?

Values for exponents, commonly referred to as powers, indicate how many often to multiply a quantity by itself.

For instance, 43 instructs you to divide by three the number four. The base of a power is the integer being increased, and the exponent or power is the superscript number it above base.A number's exponent shows the amount of times the number has been multiplied by itself.

The given expression is;

\(4x^{8} y^{c} = \frac{24x^{b}y^{-3} }{ax^{2} y^{-5} }\)

Solving expression using the law of indices.

\(x^{8} y^{c} = \frac{6x^{b-2}y^{-3+5} }{a}\)

\(ax^{8} y^{c} = {6x^{b-2}y^{2} }\)

Comparing powers of both sides:

a = 6

8 = b-2 : b = 10

c = 2

Thus, the value of  a, b and c are found as 6, 10 and 2 respectively.

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Solve the linear system using the elimination method. Type youranswer as an ordered pair in the form (#,#).5x + 7y = 3311x + 7y = 39

Answers

\(\begin{gathered} 5x+7y=33\ldots(1) \\ 11x+7y=39 \\ 7y=39-11x\ldots(2) \\ \text{Substitute the value of equation (2) in the equation (1).} \\ 5x+39-11x=33 \\ -6x=-6 \\ x=1 \\ \text{Substitute the value of x=1 in the equation (2) as follows:} \\ 7y=39-11\times1 \\ y=\frac{39-11}{7} \\ y=4 \\ So,\text{ the ordered pair is}\Rightarrow(1,4) \end{gathered}\)

Read the following excerpt from Susan B. Anthony's On Women's Right to Vote. Then, answer the question that follows.

Friends and fellow citizens: I stand before you tonight under indictment for the alleged crime of having voted at the last presidential election, without having a lawful right to vote.

Which rhetorical appeal or device does Susan B. Anthony use in the opening of her speech?

Ethos, because she creates trust by calling her audience her friends and fellow citizens to show she's just like them
Irony, because she is saying something that is the opposite of what she means about women's right to vote
Logos, because she presents facts and statistics about women's right to vote
Rhetorical question, because she wants the reader to think about an issue through a question

Answers

The rhetorical appeal or device that Susan B. Anthony used in the opening of her speech is A. Ethos, because she creates trust by calling her audience her friends and fellow citizens to show she's just like them.

What is ethos?

The Greek word ethos, which means "character," is used to refer to the guiding principles or ideals that define a society, a country, or an ideology, as well as the harmony between moderation and fervor.

Credibility is the key component of ethos; is the source coming from reputable, trustworthy research.

It should be noted that creates trust by calling her audience her friends and fellow citizens to show she's just like them. Therefore, the correct option is A.

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Answer: A

Step-by-step explanation: Ethos, because she creates trust by calling her audience her friends and fellow citizens to show she's just like them.

The bar graph shows the height of a plant each month for four months. Your friend concludes that the height of the plant in Month 4 is 3
times its height in Month 1. Is this conclusion accurate? Explain.

The bar graph shows the height of a plant each month for four months. Your friend concludes that the

Answers

Answer:

I can't see the pic or I can't answer sorry

Step-by-step explanation:

No, because the height in month one was twelve centimeters, while the height in month four was 24 centimeters. This conclusion is not accurate because 12 times 3 is 36, not 24.

Arrange the steps in order to simplify the expression

Arrange the steps in order to simplify the expression

Answers

Answer:

Step-by-step explanation:

For step explanation:

1. write the problem

2. distinguishing the neg sign

3. distributing 3

4. moving like terms next to each other through commutative property

5.  Combining like terms

6. getting rid of parentheses

Arrange the steps in order to simplify the expression

Optimal Chapter-Flight Fare If exactly 212 people sign up for a charter flight, Leisure World Travel Agency charges $292/person. However, if
more than 212 people sign up for the flight (assume this is the case), then each fare is reduced by $1 for each additional person. Determine how
many passengers will result in a maximum revenue for the travel agency. Hint: Let x denote the number of passengers above 212. Show that the
revenue function R is given by R(x) = (212+x)(292-x).
passengers
What is the maximum revenue?
$
What would be the fare per passenger in this case?
dollars per passenger

Answers

Answer:

Dollars per passenger would be $252.
The maximum revenue is $63,404.

Step-by-step explanation:

Let's define the number of passengers above 212 as x.

The revenue function is given by R(x) = (212 + x)(292 - x).

We can expand and simplify the revenue function:

\(R(x) = 212 * 292 + 212 * (-x) + x * 292 + x * (-x)\)

= \(61804 - 212x + 292x - x^2\)

= \(-x^2 + 80x + 61804\)

The revenue function is a quadratic function in the form\(R(x) = -x^2 + 80x + 61804\), representing a downward-opening parabola.

To find the x-coordinate of the vertex (which gives the number of passengers for maximum revenue), use the formula \(x = -b/2a\), where \(a = -1\) and \(b = 80\).

\(x=\frac{-80}{2*(-1)}\)

\(= \frac{80}{2}\)

\(= 40\)

Therefore, the number of passengers above 212 for maximum revenue is 40.

Substitute x = 40 into the revenue function to find the maximum revenue:

\(R(x) = -(40)^2 + 80(40) + 61804\)

\(= -1600 + 3200 + 61804\)

\(= 61804 + 1600\)

\(= 63404\)

Hence, the maximum revenue is $63,404.

To determine the fare per passenger, subtract x from the base fare of $292:

Fare per passenger = Base fare - x

\(= 292 - 40\)

\(= 252\) Dollars per passenger.

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