Determine where X' would be if you translated X 3units to the left and 9 units down

Answer:

growth rate: 4

y-value: 19

equation: y=4x+19

Step-by-step explanation:

Growth Rate:
The growth rate of a linear function is constant. This means that the function will increase or decrease by the same amount for every unit increase in x.
This can be found by dividing the change in y-values by the change in x-values.

For the question:
The change in y-values is 11-7=4,

and the change in x-values is +1.

Therefore, the growth rate is 4.

\(\hrulefill\)

Initial Value: The initial value of a linear function is the value of the function when x is 0.

In this case, the initial value is 19.

This can be found by looking at the y-value of the point where x is 0.

In this case, the y-value is 19.

\(\hrulefill\)Equation: The equation of a linear function is y = mx + b, where m is the slope and b is the y-intercept.

Using the table you provided, we can find the slope by using two points on the line.

Let’s use (-3, 7) and (1, 23).

The slope is (y2-y1)/(x2-x1)=(23-7)(1-(-3)=16/4=4

Now,

Taking 1 point (-3,7) and slope 4.

we can find the equation by using formula:

y-y1=m(x-x1)

y-7=4(x+3)

y=4x+12+7

y=4x+19

Therefore, the equation of the given table is y=4x+19\(\hrulefill\)

Answer:

Growth rate:  4

Initial value:  19

Equation:  y = 4x + 19

Step-by-step explanation:

The slope of a linear function represents its growth rate.

Therefore, the growth rate of a linear function can be found using the slope formula.

Substitute two (x, y) points from the table into the slope formula, and solve for m.  Substituting points (0, 19) and (1, 23):

\(\textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{23-19}{1-0}=\dfrac{4}{1}=4\)

Therefore, the growth rate of the linear function is 4.

The initial value of a linear function refers to the y-intercept, which is the value of the y when x = 0.

From inspection of the given table, y = 19 when x = 0.

Therefore, the initial value of the linear function is 19.

To write a linear equation given the growth rate (slope) and initial value (y-intercept), we can use the slope-intercept formula, which is y = mx + b. The slope is represented by the variable m, and the y-intercept is represented by the variable b.

As the growth rate of the given linear function is 4, and the initial value is 19, substitute m = 4 and b = 19 into the slope-intercept formula to create the equation of the linear function represented by the given table:

\(\boxed{y=4x+19}\)

PART A: Linda has $4.41 more than Enrique after one year.

PART B: Enrique has $12.10 more than Linda after the second year.

PART A: After one year, we can calculate the amount of money each person has in their respective accounts.

For Linda's account:

Principal amount = $610

Interest rate = 1.2%

\(Interest $ earned = Principal $ amount \times (Interest rate/100) = $610 \times (1.2/100) = $7.32\)

\(Total $ amount after one year = Principal amount + Interest earned = $610 + $7.32 = $617.32\)

For Enrique's account:

Principal amount = $590

Interest rate = 3.9%

\(Interest $ earned = Principal amount \times (Interest rate/100) = $590 \times (3.9/100) = $22.91\)

Total amount after one year = Principal amount + Interest earned = $590 + $22.91 = $612.91

Comparing the two amounts, after one year Linda has more money.

The difference in the amount is:

$617.32 - $612.91 = $4.41

Therefore, Linda has $4.41 more than Enrique after one year.

PART B: After a second year, we need to calculate the amounts again.

For Linda's account:

Principal amount = $617.32

Interest rate = 1.2%

\(Interest earned = Principal amount \times (Interest rate/100) = $617.32 \times (1.2/100) = $7.41\)

Total amount after the second year = Principal amount + Interest earned = $617.32 + $7.41 = $624.73

For Enrique's account:

Principal amount = $612.91

Interest rate = 3.9%

\(Interest earned = Principal amount \times (Interest rate/100) = $612.91 \times (3.9/100) = $23.92\)

Total amount after the second year = Principal amount + Interest earned = $612.91 + $23.92 = $636.83

Comparing the two amounts, after the second year Enrique has more money.

The difference in the amount is:

$636.83 - $624.73 = $12.10

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The dimensions listed above are thus neither exact nor precise.

In the given question the chocolate chip cookies weigh 17.27 g, 13.05 g, 19.46 g, and 16.92 g, respectively and we have to classify the following set of measurements as accurate, precise, both, or neither.

It is the "value" that a buyer is prepared to pay for an object, particularly a used or second-hand car; typically, the "real worth" of any used car is a predetermined price tag after determining its value based on its condition and usage.

The chocolate chip cookies weigh 17.27 g, 13.05 g, 19.46 g, and 16.92 g, respectively. This demonstrates that the weight of chocolate chips is not comparable to their actual worth.

The dimensions listed above are thus neither exact nor precise.

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Answer:

3:1

Step-by-step explanation:

Subtract to find the number of students who selected the vegetarian sandwich choice:

24 – 18 = 6 students.

The ratio of turkey sandwiches to vegetarian sandwiches is 18 : 6.

Then divide both sides by 6 to simplify this ratio to 3 : 1.

225

\(15\times 15\)

__________________________________________________

Calculate

\(15\times 15\)

__________________________________________________

Calculate the product or quotient

\(225\)

I hope this helps you

:)

Answer:

10000

Step-by-step explanation:

100 hugs x 100 hugs

= 10,000 hugs.

Answer:

A. Function Only

Step-by-step explanation: There is no repeated x terms in the pairs listed so its function only

Answer:

12.6

Step-by-step explanation:

10.08/.8 = 12.6, dividing the amount of time by the amount of time to make a skirt to get the number of skirts she can make

Answer:

240

Step-by-step explanation:

25% of 600: 150

35% of 600: 210

210+150= 360

600-360 = 240

Answer:

Step-by-step explanation

Okay so lets solve step by step/

15% can be written as a  fraction: 15/100

The of in the equation means multiplying.

15/100= 3/20

3/20*9= 270/20

27/2 is answer

Answer:

A:  \(\frac{4}{7}\)=\(\frac{7.04}{x}\)

Step-by-step explanation:

Khan Academy

Answer: sorry im useless here

Step-by-step explanation:

Answer:

poopo

Step-by-step explanation:

Answer:

The answer will be -45/4 or -11 1/4

Step-by-step explanation:

The first thing you will do is convert both numbers into improper fractions. -4 1/2 will be -9/2 and 2 1/2 will be 5/2. Once you do that, you will multiply each fraction and you should get -45/4. Finally, you would convert that into a mixed number which would be -11 1/4.

Hope that helps and if not, let me know!!

The amount of points of each question in each part are given as follows:

It is stated in the problem that:

Hence the amount of points of each part is the least common multiple of 6 and 8, obtained by factoring by prime factors as follows:

6 - 8|2

3 - 4|2

3 - 2|2

3 - 1|3

1

Hence:

lcm(6,8) = 2³ x 3 = 24.

Meaning that each part was worth 24 points, and the number of questions is given as follows:

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Answer:

3 9/16 lbs

Step-by-step explanation:

The y-intercept of this graph represent 5 and it means the base rate for the long distance phone service is $5.

In Mathematics and Geometry, the y-intercept is sometimes referred to as an initial value or vertical intercept and the y-intercept of any graph such as a linear equation or function, generally occur at the point where the value of "x" is equal to zero (x = 0).

By critically observing the graph and the function y = 1/20(x) + 5 shown in the image attached below, we can reasonably infer and logically deduce the following y-intercept:

y-intercept of y = (0, 5).

In conclusion, we can reasonably infer and logically deduce that the base rate for the long distance phone service is equal to $5.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

The actual height of Caleb based on the ratio in the photograph and actual is 48 inches.

The ratio is the division of the two numbers.

Proportion is the relation of a variable with another. It could be direct or inverse.

Let's say Allison and Caleb's height in the photograph is A' and C' while in actuality it is A and C.

Since the ratio of height in the photograph will same as the ratio in actual life.

Thereby,

C/A = C'/A'

C/60 = 3.2/4

C = 192/4

C = 48 inches.

Hence "The actual height of Caleb based on the ratio in the photograph and actual is 48 inches".

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Given question is incomplete complete question follows ;

In a photograph, Alison stands next to her brother Caleb. Alison is 4 cm tall in the photograph. Her actual height is 60 in. Caleb is 3.2 cm tall in the photograph.

What is his actual height?

(Show your work)

Answer:

i think its 3

Step-by-step explanation:

Answer:

19

Step-by-step explanation:

-8+19= 11

Hope this helps!

(i) Probability is a notion in Mathematics which describes the likelihood of an event or a set of events occurring. It is a measure of uncertainty when estimating the outcome of an experiment or an observation.

(ii) The axioms of probability are:

the non-negativity (that the probability of an event is greater than or equal to zero), and

the additivity (that the probability of the union of two or more mutually exclusive events is equal to the sum of their individual probabilities).

(iii) When two fair dice are thrown the probability of getting:

a) The sum of 9 = 1/9

b) Two odd numbers = 1/4

c) two prime numbers = 1/9

d)  two factors of 12 = 1/9

(iv) Statistics is a branch of mathematics that deals with data collection, analysis, interpretation, presentation, etc.

To find probability when two dice are thrown, we have:

(a) The sum of 9:

We will estimate the number of ways to get a sum of 9: (3,6), (4,5), (5,4), and (6,3) = 4 ways

A die has 6 possible outcomes, the total number of possible outcomes is 6x6=36 = 4/36 = 1/9.

(b) Two odd numbers:

We count the number of ways to get two odd numbers: (1,3), (1,5), (1,7), (3,1), (3,5), (3,7), (5,1), (5,3), and (5,7).

possible outcomes = 9,

So, the total possible outcomes = 6x6=36 = 9/36 = 1/4.

(c) Two prime numbers

We estimate the number of ways we can get two prime numbers: (2,3), (3,2), (5,2), and (2,5)

possible outcomes = 4,

So, the total possible outcomes = 6x6 =36 = 4/36, = 1/9.

(d) Two factors of 12:

We count the number of ways and divide by the total possible outcomes.

The factors of 12 are 1, 2, 3, 4, 6, and 12: (2,6), (3,4), and (4,3) = 3 ways

possible outcomes = 6

Therefore, the total number of possible outcomes = 6x6=36 = 3/36, = 1/12

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Answer: This is the answer. please give me the brainliest. Thanks

The computation of the increased in salary is $500.

Here, we have,

Explanation:

Data provided in the question

Salary for the first year = $50,000

CPI increase during the year = 4%

Overstated inflation = 1% i.e. 5%

The computation of the increased in salary is shown below:

= Salary of the first year × inflation rate - salary of the first year × CPI increase during the year

= $50,000 × 5% - $50,000 × 4%

= $2,500 - $2,000

= $500

Hence, The computation of the increased in salary is $500.

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complete question:

Mark's wage contract specifies a $50,000 salary for the first year, and specifies a salary increase equal to the percentage increase in the CPI during the second year. The increase in the CPI during the year was 4.0%. If the CPI overstates inflation by 1.0% (that is, the actual price increase was 3% and not 4%), at the end of the first year Mark's salary increased by $________ more than it would have without the upward bias.

Answer:

B) 4,700

Step-by-step explanation:

6000 - 4000 = 2000

2000 in 15 year, find how much for each year

2000/ 15 = 133.3333333

133.3333333 estimated = 133

133 approximately for each year

1975 to 1980 is five years

133 x 5 = 665

4000 + 665 = 4665

4665 rounded the the nearest hundred

4700

The correct statement is; Pentagon M’N’P’Q’R is smaller than pentagon MNPQR because the scale factor is smaller than 1.

The ratio between comparable measurements of an item and a representation of that thing is known as a scale factor in arithmetic.

If a polygon is dilated by a scale factor = k

Rule to be followed as;

(x, y) → (kx, ky)

Here, k = Scale factor

If 0 < k < 1, size of the image will be reduced.

Similarly, k > 1, size of the image will be enlarged.

We are given that Pentagon MNPQR is dilated with the origin as the center of dilation to form an image M'N'P'Q'R'.

Rule used for the transformation,

(x, y) → (1/4x, 1/4y)

Here, the scale factor through which MNPQR has been dilated is 1/4.

Since, scale factor is between zero and 1/4, size of M'N'P'Q'R' will be reduced.

Therefore, the size of pentagon M'N'P'Q'R' will be 1/4 smaller than pentagon MNPQR.

Option (2) is the answer.

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The complete question is: Pentagon MNPQR is shown on the coordinate grid. Pentagon MNPQR is dilated with the origin as the center of dilation using the rule (x, y)→(1/4x, 1/4y) to create pentagon M'N'P'Q'R'.

Which statement is true?

a. Pentagon M'N'P'Q'R' is larger than pentagon MNPQR, because the scale factor is greater than 1.

b. Pentagon M'N'P'Q'R' is smaller than pentagon MNPQR, because the scale factor is less than 1.

c. Pentagon M'N'P'Q'R' is larger than pentagon MNPQR, because the scale factor is less than 1.

d. Pentagon M'N'P'Q'R' is smaller than pentagon MNPQR, because the scale factor is greater than 1.

Answer: Point P is at (3, 7)

Step-by-step explanation: the distance from point a to point B is 10.8. 10.8 divided by 3 is 3.6, so you have to find a point that 3.6 from point a. Using a graph, I found the answer to be (3,7)

Therefore, out of the 24 students that Blake interviewed, 9 of them participate in sports.

An equation is a mathematical statement that indicates that two expressions are equal. It typically consists of variables, constants, and mathematical operations such as addition, subtraction, multiplication, and division. The expressions on both sides of the equation are separated by an equal sign "=" which means that the two expressions have the same value.

Here,

According to the table, Blake interviewed a total of 24 students. To find out how many of these students participate in sports, we need to add up the number of students who collect sports cards and participate in sports, as well as the number of students who do not collect sports cards and participate in sports. So:

Total students who participate in sports = Number of students who collect sports cards and participate in sports + Number of students who do not collect sports cards and participate in sports

Total students who participate in sports = 6 + 3

Total students who participate in sports = 9

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Answer:

The correct answer to this is 200 and 34.90%

Step-by-step explanation:

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 3000 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 100% equals 3000, so we can write it down as 100%=3000.

4. We know, that x% equals 1046 of the output value, so we can write it down as x%=1046.

5. Now we have two simple equations:

1) 100%=3000

2) x%=1046

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

100%/x%=3000/1046

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1046 is what percent of 3000

100%/x%=3000/1046

(100/x)*x=(3000/1046)*x       - we multiply both sides of the equation by x

100=2.868068833652*x       - we divide both sides of the equation by (2.868068833652) to get x

100/2.868068833652=x

34.866666666667=x

x=34.866666666667

now we have:

1046 is 34.866666666667% of 3000

Sample proportion = 0.65

And, The percentage of the sample proportion = 65%

The percentage of the readers surveyed do not use e-readers = 35%

Any relationship that is always in the same ratio and quantity which vary directly with each other is called the proportional.

Given sample size is,

'n' =3000

Of the 3,000 readers surveyed, 1,954 said they read books on an e-reader.

Hence, The probability that The readers surveyed use e-readers sample proportion is,

p = 1954 / 3000

p = 0.6513

Hence, The percentage of the sample proportion is, 65%

And, The readers surveyed do not use e-readers is,

q = 1 - p

q = 1 - 0.651

q = 0.349

Thus, Sample proportion = 0.65

And, The percentage of the sample proportion = 65%

The percentage of the readers surveyed do not use e-readers = 35%

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Answer:

2

Step-by-step explanation:

( 3x + 6 ) ( 4x - 8 ) = 0

( 3x + 6 ) = 0 / ( 4x - 8 )

3x + 6 = 0

3x = 6

x = 6 / 3

x = 2

We get that the cost of the battery is $ 8.24 per battery.

We are given that the cost of 88 batteries = $ 724.72

We need to find the cost of one battery.

We will do this by diving the cost of 88 batteries by 88.

Using division, we get that:

cost of one battery = $ 724.72 ÷ 88

Simplifying the expression, we get that:

cost of one battery = $ 8.24 per battery.

Therefore, we get that the cost of the battery is $ 8.24 per battery.

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