calculate the unit rate.

The equation of a rational function that has been translated left 2 units and shifted up 1 unit is; f(x) = (a(x - 2) + b + 1) / (c(x - 2) + d)

A relation is defined as a function in the event that it possesses only One y-value with a corresponding x-value.

A general form of how a rational function is represented is:

f(x) = (ax + b) / (cx + d)

To translate this function left 2 units, we need to replace x with x + 2. This gives us:

f(x + 2) = (a(x + 2) + b) / (c(x + 2) + d)

To shift this function up 1 unit, we need to add 1 to the numerator. This gives us:

f(x + 2) = (a(x + 2) + b + 1) / (c(x + 2) + d)

Therefore, the equation of a rational function that has been translated left 2 units and shifted up 1 unit is: f(x) = (a(x - 2) + b + 1) / (c(x - 2) + d)

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The variable y is directly proportional to x, which is the definition of direct variation.

The intersection of two perpendicular lines, the x-axis and the y-axis, results in a 2D plane known as a coordinate plane. In geometry, a coordinate system is a method for calculating the positions of the points using one or more integers or coordinates.

The graph that represents a function with direct variation is a coordinate plane with a line passing through (0, 0) and some other point that is not the origin.

Out of the given options, the graph that represents a function with direct variation is the coordinate plane with a line passing through (negative 4, 0) and (0, negative 2).

This is because the equation of this line can be written in the form y = mx, where m is the slope of the line. In this case, the slope is:

m = (0 - (-2)) / (-4 - 0) = 1/2

So the equation of the line is y = (1/2)x - 2, which is in the form of y = kx, where k = 1/2. This means that y is directly proportional to x, which is the definition of direct variation.

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The eighth term of 4000, 800, 160, 32... will be 0.0512.

What is geometric progression?

A geometric progression is also known as the geometric sequence which is a sequence of numbers where each term after the first is found by multiplying the previous one by a fixed, non-zero number called the common ratio.

We are given, 4000, 800, 160, 32, ....

a is the first term = 4000

The terms are in reducing order of 1/5 at each stage.

So, 5th term = 32/5 = 6.4

6th term =   6.4/5 = 1.28

7th term =  1.28/5 = 0.256

And 8th term = 0.256/5 = 0.0512

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The two numbers that multiply to 375 and add to -10 are -25 and 15.

To find two numbers that multiply to 375 but add to -10, we can use a system of equations.

Let's call the two numbers we're looking for x and y. Then we have:

xy = 375 (since they multiply to 375)

x + y = -10 (since they add to -10)

We can use the second equation to solve for one variable in terms of the other. For example, if we solve for y, we get:

y = -x - 10

Now we can substitute this expression for y into the first equation:

x(-x - 10) = 375

Expanding the left side gives:

-x^2 - 10x = 375

Bringing everything to one side gives:

x^2 + 10x - 375 = 0

We can factor this quadratic equation as:

(x + 25)(x - 15) = 0

This gives us two possible values for x: x = -25 or x = 15.

If x = -25, then y = -10 - (-25) = 15.

If x = 15, then y = -10 - 15 = -25.

So, The two numbers that multiply to 375 and add to -10 are -25 and 15.

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Answer:

181

Step-by-step explanation:

Answer:

181

Step-by-step explanation:

Just Cause.

Answer: No

Step-by-step explanation:

So you have to substitute the x and y with the numbers in the ordered pair.

y becomes 28.

x becomes 4.

So the equation 7 = y - 5x becomes 7 = 28 - 5(4).

Then, you solve.

7 = 28 - 5(4)

7 = 28 - 20

7 = 8

7 ≠ 8

So, the ordered pair is NOT a solution of the equation.

Hope this helps!!!

Answer:

-1/2

Step-by-step explanation:

We know

The dilation of K(-2,4) equals K'(1,-2)

To get from -2 to 1, we time -1/2

To get from 4 to -2, we time -1/2

So, the scale factor used for the dilation is -1/2

The inequality for this graph is given as follows:

y < 2.

The four inequality symbols, along with their meaning, are presented as follows:

For the graph in this problem, the inequality is composed by the values that are below y = 2, with an open interval as the line is dashed and not solid, hence it is defined as follows:

y < 2.

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The differential of the function, f(x)=x^5 -8x is

df(x) = (5x^4 - 8) dx. That is dy = (5x^4 - 8) dx

From the question, we are to determine the differential of the given function

To find the differential of the function f(x), we use the formula:

df(x) = f'(x) dx

where f'(x) is the derivative of f(x) with respect to x, and dx is an infinitesimal change in x.

First, we need to find the derivative of f(x):

f'(x) = 5x^4 - 8

Now we can substitute this into the differential formula:

df(x) = (5x^4 - 8) dx

Hence, the differential of the function is

df(x) = (5x^4 - 8) dx

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Answer:

Shirt = $20
Sweater = 30

Step-by-step explanation:

3sh + 2sw = 120

2sh + 4sw = 160

Multiply (3sh + 2sw = 120) by -2
-6sh + -4sw = -240  -> -6sh -4sw = -240
Add the two equations -6sh -4sw = -240 and 2sh + 4sw = 160 together. -4sh = -80
Shirt = 20
Substitude in 20
3 x 20 = 60 120 - 60 = 60 60/2=30

Answer:

1. 12

2. 6

3. 4.5

4. 7

Don't quite under #5

Explanation:

Sample mean = ΣX / n

1. 108 / 9 = 12

2. 72 / 12 = 6

3. 2 + 7 + 9 + 4 + 5 + 3 + 0 + 6 = 36 / 8 = 4.5

4. 8 + 2 + 5 + 7 + 12 + 9 + 11 + 3 + 6 = 63 / 9 = 7

Answer:

the frequency of someone interru

Step-by-step explanation:

The correct answer is (d) noise. Unwanted sound that is regarded loud, unpleasant, or disruptive to hearing is called noise.

Even if the label "unwanted" is arbitrary, some sounds are frequently regarded as noise. A sound pressure level, expressed in decibels, is used to measure or anticipate noise (dB).

here, we have,

The measurements and noise meter used depend on the application; different noise metrics can account for magnitude, frequency, and time in different ways.

and, we have,

Another illustration is workplace noise, where the effect of noise on hearing loss is of utmost importance.

To offer a degree of exposure that can be associated to the possibility of hearing loss in employees exposed to the sound during the course of exposure, both the intensity and duration of sound are combined.

Hence, The correct answer is (d) noise. Unwanted sound that is regarded loud, unpleasant, or disruptive to hearing is called noise.

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Complete question:

ivan is trying to understand the concern of an angry customer, but several employees keep interrupting the conversion. these interruptions are an example of

Answer:40

140/7=20

20x2=40

40 is the same as two-sevenths of 140

Answer: 24

Step-by-step explanation: 6*4=24
i did 6*4 because there are 4 fourths in each pound

Answer: Unfortunately, the given information is not sufficient to answer the questions 1.1.1, 1.1.2, 1.1.3, and 1.1.4. However, I can provide some insights based on the given information.

1.1.1: B₁ is not defined in the given information. Without knowing what B₁ represents, we cannot determine its size.

1.1.2: We know that AB is parallel to QD, and CD = CB. Also, angle Ĉ = 110°. However, we don't know the location of point P, so we cannot determine the size of angle ABC.

1.1.3: We know that angle D₃ = 70°, but we don't know the location of point P, so we cannot determine the size of angle D₂.

1.1.4: We know that angle ₂ = 100°, but we don't know the location of point P, so we cannot determine the size of angle A₂.

Step-by-step explanation:

d ≥ 4, The family must travel at least four days.

Inequalities are mathematical formulas in which neither side is equal. Unlike equations, we compare two values in inequality. In between, the equal sign is replaced by less than (or less than or equal to), more than (or greater than or equal to), or not.

Given:

The family drives 350 miles per day.

they need to travel at least 1400 miles

let the number of day taken to travel 1400 miles.

So, the Inequality of the Situation as

350d ≥ 1400

d≥ 1400/350

d≥ 140/ 35

d ≥ 4

So, the family must travel at least four days.

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The amount of interest he has earned is $438

Compound interest is the interest you earn on interest. This can be illustrated by using basic math: if you have $100 and it earns 5% interest each year, you'll have $105 at the end of the first year. At the end of the second year, you'll have $110.25.

A = P ( 1+r/100) ^t

A is the amount after year t

P is the principal and r is the rate

800 = P( 1+ 12/100)⁷

800 = P( 1+ 0.12)⁷

800 = P ( 1.12)⁷

800 = P( 2.21)

P = 800/2.21

P = $362

A = P+ 1

I = A-P

I =800 - 362

I = $438

therefore the interest he earned is $438

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Answer:

96 because 60 plus 36 equals 96 and value means add but if your multiplying the answer would be 2160

Step-by-step explanation:

Answer:60 cents per taco

Step-by-step explanation:

120/2=60

180/3=60

300/5=60

480/8=60

We can write the expression for {P} as -

P = a + b + 4ab - 2y

In mathematics, an inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. It is used most often to compare two numbers on the number line by their size

Given are the expressions as -

P = a + b + 2c

y = 2ab - C

We can write -

C = 2ab - y

Putting the values in the equation -

P = a + b + 2c

P = a + b + 2(2ab - y)

P = a + b + 4ab - 2y

Therefore, we can write the expression for {P} as -

P = a + b + 4ab - 2y

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Because of the common difference of 5, this series is math because it has a common difference of 5.

An arithmetic series is one in which each term grows by adding or removing a certain number, k. In a geometric series, each term grows by dividing by or increasing by a certain constant k. For instance, a1 = 25 and a(n) Equals a(n-1) Plus 5.

This is a list of numbers.

Each term in an arithmetic series is created by adding a fixed difference to the term before it. The distance between successive words in this order is 5:

10 - 5 = 5

15 - 10 = 5

20 - 15 = 5

25 - 20 = 5

Therefore, this sequence has a common difference of 5, which means it is an arithmetic sequence.

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The two lines are intercept of each other and can intersect each other and are perpendicular to each other.

With examples, what is line intercept sampling?

To calculate the cover of specified classes in the landscape, such as forests or different types of forests, line intercept sampling is utilized.

                                        Over the region of interest, line samples are randomly placed, and it is then examined what percentage of each sample line falls into the target area class.

The points at which a line crosses an axis are known as the xxx-intercept and the yyy-intercept, respectively.

Thus, the two lines are intercept of each other and can intersect each other and are perpendicular to each other.  

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Therefore, the probability that X is between 5.5 and 7.5 is approximately 0.0808.

If a company creates apparel and sells it to people directly through an online site, it may be using direct distribution.

To solve this problem, we need to standardize the distribution of X to a standard normal distribution. This is done using the following formula:

Z = (X - μ) / σ

where Z is the standard normal variable, X is the normally distributed variable, μ is the mean of X, and σ is the standard deviation of X.

Using the given values, we have:

Z1 = (5.5 - 2.6) / 2.2 = 1.318

Z2 = (7.5 - 2.6) / 2.2 = 2.682

We can then find the probability using the standard normal distribution table or a calculator with a built-in normal distribution function.

Using the table or calculator, the probability is:

P(5.5 ≤ X ≤ 7.5) = P(1.318 ≤ Z ≤ 2.682) = 0.0808 (rounded to four decimal places)

Therefore, the probability that X is between 5.5 and 7.5 is approximately 0.0808.

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The total surface area of the prism is equal to 74 m².

In Mathematics, the total surface area of a triangular prism can be calculated by using this mathematical expression:

Total surface area of triangular prism = (Perimeter of the base × Length of the prism) + (2 × Base area)

Total surface area of triangular prism = (S₁ + S₂ + S₃)L + bh

where:

By substituting the given parameters, we have:

Total surface area of triangular prism = 4 + (5 × 4)3.5

Total surface area of triangular prism = 4 + (20)3.5

Total surface area of triangular prism = 74 m².

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The blanks when completes are:

The value of 6x - x² increases from 0 at x = 0 to 9 at x = 3, then decrease back at x = 6. Also, the values are 0 for x = 0...

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

The table of values

From the table of values, we can see that

This means that the values that complete the blanks are increase, decrease and 0

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The day she will order both kinds of flowers on the same day is 12th day of the year.

LCM is the full form of least common multiple, it stands for the lowest common multiple. The least common multiple of two numbers can be mentioned as the smallest number that is a multiple of both of them.

here, we have,

Given:

Sunflower order = every 6 days

Daisies order = every 4 days

Find the lowest common multiple of 6 days and 4 days

6 days = 6, 12, 18, 24, 30, 36, 42, 48, 54, 60

4 days = 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60

The lowest common multiple of 6 days and 4 days is 12 days

Therefore, the day she will order both kinds of flowers on the same day is 12th day of the year.

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