100 POIntsSarah has been running a dog-walking business since 2010. She walks dogs twice a day, takes them to the park, and returns them to their homes. Each year, she has increased her fee by the same amount. The table shows what Sarah charged each customer for two given years of her business:

Year Annual Dog-walking Fee
2010 $350
2014 $750
A. What is the rate of change and initial value for Sarah's business? How do you know?
B. Write an equation in slope-intercept form to represent the fees that Sarah charges each year. (10 points)

Answers

Answer 1

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Problem (a):  \(\textsf{Rate of change = \$100 per year, Initial value = \$350}\)

Problem (b):  \(\textsf{y = 100x + 350}\)

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The first step that we must take before attempting to solve the problem is to understand what the problem is asking us to do and what is given to us to help do so.  So in the first part we are asked what the rate of change and initial value for Sarah's business.  Using that information we would be able to complete the second part which asks us to write an equation in slope-intercept form.  In this problem we are given two points which resemble how much Sarah charged each customer for the given years.

Now that we know what we must accomplish, we can move onto actually solving the problem.  So first we must determine what the rate of change is and this is basically like finding the slope.  This can be done by subtraction the y-values in the numerator and the x-values in the denominator.

Determine the rate of change

\(m = \frac{y_2 - y_1}{x_2 - x_1}\)\(m = \frac{750 - 350}{2014 - 2010}\)\(m = \frac{400}{4}\)\(m = 100\)

Now we can see that the rate of change would be an increase of $100 per year after calculating the slope.  The next part was to determine the initial value for Sarah's business and this can be easily done because we know that she has had this business since 2010 and we are given that the price in 2010 was $350.

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We now have completed part (a) and we can move onto the next part which is to create an equation in slope-intercept form to represent the fees that Sarah charges each year.

So we know that the slope is an increase of $100 per year which means that we will have a positive slope.  We also know the initial price that Sarah charged in her first year which will represent the y-intercept or the first point on the graph.

m ⇒ This represents the slope of the line that is being written.b ⇒ This represents the y-intercept of the line that is being written.

Plug in the values

\(y = mx + b\)\(y = 100x + 350\)

After plugging in the values we have a finished expression in slope-intercept form which represents the scenario that is going on with Sarah's business. We see that that initial price was 350 and we increase that by 100 each year. Therefore, the final equation in slope-intercept form is y = 100x + 350.

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Related Questions

Match the ones on the left to the right

Match the ones on the left to the right

Answers

Answer/Step-by-step explanation:

\( (4 + 5) + 2 = 4 + (5 + 2) \) => any combination of numbers were formed or grouped when adding. The associative property of addition was applied.

\( 2(2x + 4) = 4x + 8 \) => the sum of two terms (addend) are multiplied by by a number separately (I.e., a(b + c) = a(b) + a(c) = ab + ac). The property applied is distributive property.

\( (7x * x) * 3 = 7 * (x * 3) \) => the numbers were grouped in any combination to arrive at same result when multiplying. Associative property of multiplication was applied.

\( (8 * x * 2) = (x * 8 * 2) \) => the numbers where ordered in any manner to arrive at same result when multiplying. Cummutative property of multiplication was applied.

\( (7 + 3) + 1 = (1 + (7 + 3) \) => the order in which the nnumbers in the were arranged doesn't matter, as same result is arrive at. This is Cummutative property of addition.

Graph the solution to the equations below. y = 1 4 x + 2 and y = −2x −7

Answers

??? Where’s the problem?

Over the last three evenings, Lucy received a total of 107 phone calls at the call center. The second evening, she received 3 times as many calls as the third evening. The first evening, she received 7 more calls than the third evening. How many phone calls did she receive each evening?

Answers

Answer:

1st evening = 7 + 20 = 27 calls

2nd evening = 3 (20 ) = 60 call

3rd evening = 20 calls

Step-by-step explanation:

total calls for the last three evenings = 107 phone calls

2nd evening = 3x as many calls as the 3rd evening

1st evening = 7 more calls than the 3rd evening.

find:

how many calls did she receive each evening?

let T (total) = 107

let x = 3rd evening.

let 2nd = 3x

let 1st = (7 + x)

T = 1st + 2nd + 3rd

107 = (7 + x) + 3x + x

107 - 7 = 5x

100 = 5x

x = 100 / 5

x = 20

therefore,

1st evening = 7 + 20 = 27 calls

2nd evening = 3 (20 ) = 60 call

3rd evening = 20 calls

Answer:

1st  = 27 calls

2nd  = 60 call

3rd = 20 calls

Step-by-step explanation:

total calls = 107 phone calls

2nd  = 3x

1st = 7 + 3x

T (total) = 107

T = 1st + 2nd + 3rd

107 = (7 + x) + 3x + x

107 - 7 = 5x

100 = 5x

x = 100 / 5

x = 20

so,

1st = 7 + 20 = 27 calls

2nd  = 3 (20 ) = 60 call

3rd  = 20 calls

What is the answer to this combination lock

What is the answer to this combination lock

Answers

Answer: 375

Step-by-step explanation:

Ruling out each number:

6: In the first two rows, the 6's placement did not change but the clue did, meaning that it is talking about a different number. Otherwise, it would say it's in the right place twice or in the wrong place twice.

3 & 5: Since we know 6 is already ruled out, both 5 & 3 would have to be correct.

2 & 4 & 8: Is proven wrong in the 4th clue.

7: 7 would have to be in the middle since the second clue says it's in the wrong place. If it was 1, it would say it's in the right space.

1: Is proven wrong after 7 is proven true.

Figuring out placement:

5: For the first clue, it says that it's in the correct place meaning that 5 is the last digit.

3: For both of the times 3 appears, it is in the wrong spot, revealing that it's the first digit.

7: In the second clue, it could either be 1 or 7. However, since 3 took the first spot and 5 took the last spot, 7 would have to be in the middle since the clue says it's in the wrong place. If it was 1, it would say it's in the right space.

Cuantas Escuelas de administración hay ?

Answers

hay 20 escuelas de administración jaja ntc no se

help!!!!! Friends from Galilea gave him a skydiving class for his birthday. Her helicopter took off from the skydiving center at an angle of 20 ° and traveled 3.4 kilometers before she jumped in a direction perpendicular to the ground. How far from the skydiving center did Alexa land?

Answers

Answer:

5

Step-by-step explanation:

5555

Sharon tried to solve an equation step by step.

9
9
15
5


=−3(e−2)
=−3e+6
=3e
=e


Step 1
Step 2
Step 3


Find Sharon's mistake.
Choose 1 answer:
Choose 1 answer:

Answers

Answer:

step 2

Step-by-step explanation:

9 = -3(e - 2)

9 = -3e + 6

9-6 = -3e

3 = -3e

divide both sides by -3

-1 = e

HELP ME PLEASE!!!!!!
ZEARN!!!!

HELP ME PLEASE!!!!!!ZEARN!!!!

Answers

The expression 1 2/5 + 2 2/3 using fifteenths is 3 + 6/15 + 10/15

How to rewrite the expression using fifteenths

From the question, we have the following parameters that can be used in our computation:

1 2/5 + 2 2/3

3 + 2/5 + 2/3

To rewrite the expression using fifteenths, we multiply the numerator and the denominator of the fractions by the same number

In this case, we use 3 and 5

So, we have

3 + 2/5 * 3/3 + 2/3 * 5/5

Evaluate the products

3 + 6/15 + 10/15

Hence, the expression using fifteenths is 3 + 6/15 + 10/15

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Which expressions describe the end behaviors of the function, f(x)= (3.25)^x+6, modeled by the graph? An exponential curve on a coordinate plane with horizontal x axis ranging from negative 10 to 10 in increments of 1. The vertical y axis ranges from negative 4 to 14 in increments of 1. The curve begins infinitely close to the line y equals 6 in the second quadrant. The curve increases through begin ordered pair 0 comma 7 end ordered pair. The curve passes through begin ordered pair 1 comma 9.25 end ordered pair and exits the first quadrant.

Answers

The expression that describe the end behavior of the expression f(x)= (3.25)^x + 6 is The curve begins infinitely close to the line y equals 6 in the second quadrant.

What is end behavior as used in math?

The behavior of the graph of a function at its "ends" on the x-axis is referred to as the end behavior of a function, f.

For example, if we look at the right end of the x-axis (as x approaches + ∞) and the left end of the x-axis (as x approaches - ∞), the end behavior of a function explains the trend of the graph.

The graph of the function is attached and from the graph it shows that the graph continued to tend towards towards line y = 6

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Which expressions describe the end behaviors of the function, f(x)= (3.25)^x+6, modeled by the graph?

The radius of a circle is 4 millimeters. What is the circle's area? Use 3.14 for pi.
(The answer MUST BE ONE OF THE ANSWERS BELOW)

The radius of a circle is 4 millimeters. What is the circle's area? Use 3.14 for pi.(The answer MUST

Answers

Answer:

50.24 mm^2

Step-by-step explanation:

The area of a circle is given by

A = pi r^2  where r is the radius

A = 3.14 ( 4)^2

   = 50.24 mm^2

Answer:

c. 50.24 square millimeters

Step-by-step explanation:

Radius of circle = 4 milimeters.

Area of a circle = πr²

Area = 3.14 × 4² (π = 3.14)

= 50.24 square millimeters

positive continous random variable with disbution and density we define in class the expected value to be prove, that given this definition:

Answers

Continuous random variable is a random variable that can take on a continuum of worth. In alternative words, a random variable is said to be continuous if it supposes a value that falls between a particular interval.

A continuous random variable can be described as a random variable that can take on an infinite number of possible values. Due to this, the probability that a continuous random variable will take on a fixed value is 0.

The probability density function of a continuous random variable can be explained as a function that gives the probability that the value of the random variable will drop between a range of values. Let X be the continuous random variable, then the formula for the pdf, f(x).

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Please Help!

Car X travels 174 miles in 3 hours.

Please Help!Car X travels 174 miles in 3 hours.

Answers

Answer:

The graph =

y = 58x

Step-by-step explanation:

(a)

distance covered (y) = 174 miles

time taken (x) = 3 hours

Therefore the points = (3, 174) and (0, 0) = stationary position

Find the gradient (m)

m = 174-0 / 3-0

m = 58

Therefore the equation =

y = 58x

(distance = 58 × time)

For the distance = 174 and time = 3 hours, the equation to find either distance or time = y = 58x

(b) the graph is constant, because the time and distance are also contant when the speed used is the same.

____________________

#IndonesianPride - kexcvi

Savannah needs to buy a bag of dog food that will last for 2 weeks (14 days). She
estimates that a 20 lb bag will be enough. Is she correct?

Answers

Answer:

if it is a chihuahua, then it will be just fine with 20lb

TIME REMAINING
44:54
The table below shows the number of cars sold each month for 5 months at two dealerships.

Cars Sold
Month
Admiral Autos
Countywide Cars
Jan
4
9
Feb
19
17
Mar
15
14
Apr
10
10
May
17
15


Which statements are supported by the data in the table? Check all that apply.
The mean number of cars sold in a month is the same at both dealerships.
The median number of cars sold in a month is the same at both dealerships.
The total number of cars sold is the same at both dealerships.
The range of the number of cars sold is the same for both dealerships.
The data for Admiral Autos shows greater variability.

Answers

The statements supported by the data in the table are:

The mean number of cars sold in a month is the same at both dealerships.

The total number of cars sold is the same at both dealerships.

The data for Admiral Autos shows greater variability.

To determine which statements are supported by the data in the table, let's analyze the given information:

The mean number of cars sold in a month is the same at both dealerships.

To calculate the mean, we need to find the average number of cars sold each month at each dealership.

For Admiral Autos:

(4 + 19 + 15 + 10 + 17) / 5 = 65 / 5 = 13

For Countywide Cars:

(9 + 17 + 14 + 10 + 15) / 5 = 65 / 5 = 13

Since both dealerships have an average of 13 cars sold per month, the statement is supported.

The median number of cars sold in a month is the same at both dealerships.

To find the median, we arrange the numbers in ascending order and select the middle value.

For Admiral Autos: 4, 10, 15, 17, 19

Median = 15

For Countywide Cars: 9, 10, 14, 15, 17

Median = 14

Since the medians are different (15 for Admiral Autos and 14 for Countywide Cars), the statement is not supported.

The total number of cars sold is the same at both dealerships.

To find the total number of cars sold, we sum up the values for each dealership.

For Admiral Autos: 4 + 19 + 15 + 10 + 17 = 65

For Countywide Cars: 9 + 17 + 14 + 10 + 15 = 65

Since both dealerships sold a total of 65 cars, the statement is supported.

The range of the number of cars sold is the same for both dealerships.

The range is determined by subtracting the lowest value from the highest value.

For Admiral Autos: 19 - 4 = 15

For Countywide Cars: 17 - 9 = 8

Since the ranges are different (15 for Admiral Autos and 8 for Countywide Cars), the statement is not supported.

The data for Admiral Autos shows greater variability.

To determine the variability, we can look at the range or consider the differences between each data point and the mean.

As we saw earlier, the range for Admiral Autos is 15, while for Countywide Cars, it is 8. Additionally, the data points for Admiral Autos are more spread out, with larger differences from the mean compared to Countywide Cars. Therefore, the statement is supported.

Based on the analysis, the statements supported by the data are:

The mean number of cars sold in a month is the same at both dealerships.

The total number of cars sold is the same at both dealerships.

The data for Admiral Autos shows greater variability.

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Find the slope of the line that passes through (3, 12) and (6, 18)

Answers

Slope formula is (change in y)/ (change in x) so do 18-12 divided by 6-3. The answer is 2.

. Read the paragraph and choose a sentence that describes it best. On the way across the Aegean Sea, Caesar was kidnapped by pirates and held prisoner. He maintained an attitude of superiority throughout his captivity. The pirates demanded a ransom of 20 talents of silver, but he insisted that they ask for 50. After the ransom was paid, Caesar raised a fleet, pursued and captured the pirates, before imprisoning them. He had them crucified on his own authority, as he had promised while in captivity—a promise that the pirates had taken as a joke.

a) Caesar was a vane man who thought 20 talents is too little of a ransom
b) Caesar was very brave and kept to his word to kill the pirates
c) Pirates didn’t believe Caesar will kill them because he was their prisoner
d) The pirates didn’t kill Caesar not only because he was promised to be paid for, but because he made them respect him

Answers

The sentence that best describes the paragraph is: "The pirates didn't believe Caesar would kill them because he was their prisoner." So, the correct option is c) Pirates didn’t believe Caesar will kill them because he was their prisoner.

The paragraph recounts the events of Caesar's kidnapping by pirates while crossing the Aegean Sea. Despite being held captive, Caesar maintained an attitude of superiority. The pirates demanded a ransom of 20 talents of silver, but Caesar insisted they ask for 50. This indicates that Caesar saw himself as more valuable than the initial ransom amount suggested by the pirates.

After the ransom was paid, Caesar did not forget the pirates' actions. He raised a fleet, pursued the pirates, and captured them. The sentence implies that the pirates didn't believe Caesar would actually kill them because he was their prisoner and they likely saw his promises as mere jest.

However, Caesar, true to his word, had the pirates crucified on his own authority.

This sequence of events highlights Caesar's determination, strategic thinking, and his ability to command respect even in dire circumstances. Despite being initially taken prisoner, he managed to turn the tables on the pirates, assert his authority, and exact his revenge. So, the correct option is c) Pirates didn’t believe Caesar will kill them because he was their prisoner.

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Analyze the diagram below and complete the instructions that follow.
8
45°
Find the value of x.
A. 4
B. 8√√2
2
C. 4√2
DG
45°
Save and Exit
Next
Subr

Analyze the diagram below and complete the instructions that follow.845Find the value of x.A. 4B. 822C.

Answers

Answer:

Based on the diagram, we can see that the triangle formed by the line segment with length 8 and the two dashed line segments is a right triangle with a 45° angle. This means that the other two angles of the triangle are also 45° each.

Using the properties of 45°-45°-90° triangles, we know that the length of the hypotenuse is equal to the length of either leg times the square root of 2. Therefore, we have:

x = 8 / sqrt(2) = 8 * sqrt(2) / 2 = 4 * sqrt(2)

So the value of x is option B: 8√2 / 2 or simplified, 4√2.

What is the answer to this question?

What is the answer to this question?

Answers

Answer:

20 3/4

Step-by-step explanation:

21 4/8 or 21.5- 3/4 or .75= 20.75 or 20 3/4

Answer:

look at the photo I have sent

What is the answer to this question?

Please, help me find the answer

Please, help me find the answer

Answers

The probability values for the questions posed are :

11/20probability of Public speaking given that student is majoring in Business Administration1/3

A.)

Number of students Taking a public speaking class majoring in business administration.

10 + 45 = 55

P(PS or BA) = 55/100 = 11/20

Therefore, the probability of PS or BA is 11/20

B.)

For the survey described, P(taken a public speaking class | majoring in Business Administration) represents the probability that a selected student has taken a public speaking class given that the student is majoring in business administration.

Hence, as inferred from P(A|B) ; probability of A given B.

C.)

P(PS|BA) = n(PSnBA) / n(BA)

n(PS) = 10+20 = 30

n(PSnBA) = 10

P(PS|BA) = 10/30 = 1/3

Therefore , the probability of PS|BA is 1/3.

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When you reverse the digits in a certain two-digit number you decrease its value by 45. What is the number if the sum of its digits is 9?

Answers

Answer:

72

Step-by-step explanation:

x+y=9 possible numbers

1 and 8

2 and 7

3 and 6

4 and 5

9 and 0

so

81-18=63

72-27=45 so this is the right number

63-36=27

54-45=9

90-9=81

Question content area top Part 1 Write a recursive definition for the sequence. -4,16,-64 256 -1024

Answers

The recursive formula for the given sequence is:

A(n) = -4*A(n - 1)

How to find the recursive formula?

Here we have the sequence:

-4, 16, -64, 256, -1024

We can see that these are just powers of 4 such that each consecutive term the sign changes.

Then if we start at -4, we have:

-4*-4 = 16

16*-4 = -64

-64*-4 = 256

And so on, then the general formula is:

A(n) = -4*(-4)ⁿ⁻¹

And the recursive one is:

A(n) = -4*A(n - 1)

That is the n-th term of the sequence.

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JJM Corporation recently issued 10-year bonds at a price of $1,000. These bonds pay $60 in interest each six months. Their price has remained stable since they were issued, that is, they still sell for $1,000. Due to additional financing needs, the firm wishes to issue new bonds that would have a maturity of 10 years, a par value of $1,000, and pay $40 in interest every six months. If both bonds have the same yield, how many new bonds must JRJ issue to raise $2,000,000?

Answers

Answer:

2,596

Step-by-step explanation:

Calculation to determine how many new bonds must JRJ issue to raise $2,000,000

Given,

Coupon rate = 8.0%

Face value = 1000

Year to maturity = 10

NPER = 20

First step is to calculate the PMT using this formula

PMT = Face value × Coupon rate / 2

Let plug in the formula

PMT=(1000 × 0.08) / 2

PMT= 80/2

PMT= 40

Second step is to calculate the Rate using this formula

Yield = 12%

Rate = Yield / 2

Let plug in the formula

Rate= 12% / 2

Rate= 6%

Third step is to calculate the net proceeds using this formula

Net proceeds= PV(rate, NPER, PMT, FV)

Let plug in the formula

Net proceeds= PV(6%, 20, 40, 1000)

Net proceeds= $770.60

Now let calculate how many new bonds must JRJ issue to raise $2,000,000

New bonds needed= $2,000,000 / 770.60

New bonds needed= 2,596 bonds

Therefore how many new bonds must JRJ issue to raise $2,000,000 will be 2,596 bonds

Please help!! Will give thanks

Question is in photo!

Please help!! Will give thanks Question is in photo!

Answers

Answer:

linear

Step-by-step explanation:

its increasing at a steady rate each year. hope it helps!!!!

i need help
can you look over this picture and see what the answer is

i need helpcan you look over this picture and see what the answer is

Answers

Answer:

AC = 12

Step-by-step explanation:

If BC is parallel to DE then ∠D ≅ ∠B and ∠E ≅ ∠C. Therefore

ΔABC is similar to ΔADE.

The sides of smaller triangle are in proportion with sides of bigger triangle.

Therefore we have the equation:

AC/AE = AB/AD

Substitute the given numbers:

x/x+15 =8/18

18x= 8(x+15)

18x = 8x+120

10x = 120

x = 12

AC=12

BRAINLYEST TO WHO EVER IS RIGHT!!!
How many zero pairs can be created in the model below?
O- 0
O- 1
O- 2
O- 3

BRAINLYEST TO WHO EVER IS RIGHT!!! How many zero pairs can be created in the model below?O- 0O- 1O- 2O-

Answers

Answer: -x because its more than one zero

Step-by-step explanation:

Functions f(4) determine what f(x)=40

Functions f(4) determine what f(x)=40

Answers

The value of the function at 4, f(4) = 74 and the then value of x when f(x) = 40 is 6.

What are Functions?

Functions are defined as the relation between two sets such that elements of a set is mapped to the elements of the other set and no element in the first set has more than one image in the other set.

Given values of x and the function values on those x in the table.

x values are 0, 1, 2, 3, 4, 5, 6, 7, 8, 9

f values on these x are 60, 64, 42, -5, 74, -4, 40, -29, 3, 47

Clearly we can see that x = 4 maps to 74.

So f(4) = 74.

Similarly we have an f value of 40 at x = 6.

Hence f(4) = 74 and the x = 6 when f(x) = 40.

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is 16.0 identified as a whole number?

Answers

Answer:

it is a rational number

Step-by-step explanation:

Another group held a dance to raise money for charity. Pre-sale tickets were $2.00 less than ticketspurchased at the event.They sold 54 pre-sale tickets and 82 tickets at the event. The group raised $980 from total ticket sales.How much did they charge for each ticket?Write and solve an equation to answer this question.

Answers

To solve this question let's represent our situation by an expression.

If we consider "x" as the value for tickets at the event, so "x-2" represent the value for pre-sale tickets. And once we have the number of each tickets (54 units for pre-sale and 82 units for tickets at the event) we have sold and also the amount the group raised ($980), now we can create our expression and find "x":

Now we have:

Tickets at the event : x = $8

Pre-sale: x-2 = 8-2 = $6

And those are the final answers.

Another group held a dance to raise money for charity. Pre-sale tickets were $2.00 less than ticketspurchased

A Triangle has a height that is half of 28 yards and an area of 56 yards^2. What is the length of the base of the trangle?

Answers

The length of the base of the triangle is 8 yards whose height is half of 28 yards.

What is triangle?

A triangle is a two-dimensional geometric shape that is formed by three straight lines that connect three non-collinear points. These three lines are called the sides of the triangle, and the points where the sides meet are called the vertices of the triangle.

According to question:

The following formula provides the area of a triangle:

Area = (1/2) x base x height

We are given that the height of the triangle is half of 28 yards, which is:

height = 1/2 x 28 = 14 yards

We are also given that the area of the triangle is 56 square yards. Substituting these values into the formula for the area, we get:

56 = (1/2) x base x 14

Simplifying this equation, we get:

56 = 7 x base

Dividing both sides by 7, we get:

base = 8

Therefore, the length of the base of the triangle is 8 yards.

The vertices are typically denoted by letters, such as A, B, and C. The three angles formed by the sides are also part of the triangle.

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Does this table represent a function? Why or why not?
O
X
2
3
3
4
5
y
1
4
3
2
5
A. Yes, because there are different y-values.
B. Yes, because every x-value corresponds to exactly one y-value.
C.
No, because the y-values are positive.
D. No, because one x-value corresponds to two different y-values.
SUBMIT

Answers

The given table does not represent a function. The correct answer is D. No, because one x-value corresponds to two different y-values.

To determine if the table represents a function, we need to check if every x-value corresponds to exactly one y-value. Let's analyze the given table:

x | y

-------

O | 1

X | 4

2 | 3

3 | 2

3 | 5

4 |

5 |

From the table, we can see that the x-values are not unique. Both the values 3 and 4 appear twice in the x-column, but they have different corresponding y-values.

This violates the definition of a function, which states that each input (x-value) should have only one output (y-value).

Therefore, the given table does not represent a function.

The correct answer is D. No, because one x-value corresponds to two different y-values.

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Other Questions
Please record yourself completing the following tasks. Make sure that your sound is on.Happy birthday to you,Happy birthday to you,Happy birthday dear Grandma,Happy birthday to you.Tap a steady beat. It can be fast or slow. Your beat should go on for eight counts.Clap the rhythm of Happy Birthday to You:Tap half notes as you count 1-2-3-4. Do this for four measures in 4/4 time. Music is subject btw what is the reason of the gas pressure. What are the techniques used for satire? The snow image A childish miracle story how is indirect characterization used in the story list information using the STEAL method Most small businesses complete a business plan before starting a new business. Suppose when Blake was thinking about starting Texas Bee Supply, he wrote a section in the business plan that included the following information: "The beekeeping industry is made up entirely of family farms. No one company holds more than 23% of the beehives in the United States." This paragraph likely appeared in which section of Blakes business plan?MarketingCompetitionPersonnelOperating Procedures Lola bought x pencils that cost $0.25 each and y erasers that cost $0.50. She spent less than $3. Which graph represents lolas purchase Find the number of permutations of the first 8 letters of the alphabet for taking 1 letter at a time? Amanda creates jewelry for a living. For smaller pieces, Amanda spends $0.85 on supplies, and for larger pieces she spends $1.74 on supplies. If Amanda sells 23 small pieces of jewelry for $8.50 each and 19 large pieces of jewelry for $18.50 each, what is her total profit? What reveals the relationship between variables along with the nature and frequency of the relationships? "(26 points) Let F = (4z + 4x^) 7 + (4y +62 + 6 sin(x))+ (4x + 6y + 4ett) k. (a) Find curl F. curl F = (b) What does your answer to part (a) tell you about / F. dr where is the circle (x - 35)2 + (y 25)2 = 1 in the xy-plane, oriented clockwise? ScFidr = (c) If C is any closed curve, what can you say about / Fdr? ScF. dr = (d) Now let C be the half circle (x 10)2 + (y 25)2 = 1 in the xy-plane with y > 25, traversed from (11,25) to (9,25). Find ScF. dr by using your result from (c) and considering C plus the line segment connecting the endpoints of C. Sf. dr = Which process breaks down tissues or chemicals to produce energy?CatabolismAssimilationAnabolismCirculation What is the correct version of this sentence? If clauses can be switched around and still make sense a comma should separate them.If clauses can be switched around, and still make sense, a comma should separate them.If clauses can be switched around and still make sense, a comma should separate them. A system with a greater input than output would experience:a. a decrease in storageb. no change in storagec. an increase in storaged. zero storagee. compound interestPLEASE HELP What imaging modality would be most helpful to work up the clicky left hip in this 2-month-old? howard company has sales revenue of $402,000 resulting in net operating income of $38,190. average invested assets are $201,000. what is the residual income if the hurdle rate is 12%? Which equation represents a line which is perpendicular to the line y= -5/4x - 4?A. 4y - 5x = -4B. 4x - 5y = 15C. 5x + 4y = -8D. 4x + 5y = 40 A small dog pulled a 15 kilogram sled and caused an acceleration of 8 m/s2. How much force did the dog apply to the sled? Group of answer choices90 Newtons1. 9 Newtons120 Newtons Lisa has a job working for $16 per hour. She takes the bus to and from work, which costs a total of $3.50 each day she works. Since her work schedule varies she doesn't work the same number of hours or days each week. Which equation can be used to find m , the total amount in dollars Lisa earns in a month if she works d days and h hours? I need an answer to this asap, hope you can understand. There are two questions here so if you wanna help with both you can or just 1 that's good as well I just can't fail this test