state the domain and range of the following function: {(-3,4),(0,6),(2,-2),(1,-3),(6,-7),(3,2)} domain: {-7,-3,-2,2,4,6} range: {-3,0,1,2,3,6} domain: {0,1,2,3,4,6} range: {-7,-3,-2} domain: {-3,0,1,2,3,6} range: {-7,-3,-2,2,4,6} domain: {-7,-3,-2} range: {0,1,2,3,4,6}

Answer:

the first one

Step-by-step explanation:

i think

An expression for the function g(x) include the following: g(x) = |x - 3| + 4.

In Mathematics and Geometry, the translation of a graph to the right simply means adding a digit to the value on the x-coordinate of the pre-image.

In Mathematics and Geometry, a horizontal translation to the right is modeled by this mathematical equation g(x) = f(x - N) while a vertical translation to the positive y-direction (upward) is modeled by this mathematical equation g(x) = f(x) + N.

Where:

In order to write an expression that models g(x), we would have to apply a vertical translation to f(x) by 4 units up and a horizontal translation by 3 units right;

g(x) = f(x - 3) + 4

g(x) = |x - 3| + 4

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Answer:

3/32

Step-by-step explanation:

The slope is found by

m = ( y2-y1)/(x2-x1)

   = ( 19-22)/(-20-12)

   = -3/-32

   = 3/32

The probability of randomly selecting a number that is less than 12 is 11/100 option third tartFraction 11 over 100 EndFraction is correct.

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

We have:

A box contains cards that are numbered from 1 to 100.

Total number of outcomes = 100

The number less than 12: = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11}

Total number of favorable outcomes = 11

The probability = 11/100

Thus, the probability of randomly selecting a number that is less than 12 is 11/100 option third tartFraction 11 over 100 EndFraction is correct.

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Answer:

x = 0

Step-by-step explanation:

All of them.

When presented with the same terms on each side of an equal sign, the solution is All Real Numbers

Step-by-step explanation:

Check the attached photo out

Answer:

7/18

Step-by-step explanation:

The box-and-whisker plot that illustrates the given data set is shown in the image below (see attachment).

A box-and-whisker plot consists of the following values of a data set: min, max, lower quartile, median, and upper quartile.

Here, Given the data set,

30, 22, 22, 27, 28, 23, 24, 25, 26, 23

the five-number summary for the box-and-whisker plot would be:

Minimum: 22

Quartile Q1: 22.75

Median: 24.5

Quartile Q3: 27.25

Maximum: 30

Thus, the box-and-whisker plot that illustrates the given data set is shown in the image below (see attachment).

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Amanda would use 3 planks of lengths 3 feet, 5 feet, and 6 feet.

To determine which planks Amanda should use to build the triangular-shaped kennel:

Therefore, Amanda would use 3 planks of lengths 3 feet, 5 feet, and 6 feet.

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A representative sample based on the hospital scenario is option A

A subset of a larger population that accurately reflects the traits, diversity, and distribution of the total population is referred to as a representative sample.

Due to time, financial, or logistical limitations, it is frequently not possible or practical to investigate an entire population when conducting research or gathering data. In these situations, researchers choose a representative sample from which to deduce generalizations about the total population.

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Answer:

AA Similarity

Step-by-step explanation:

Since they both share angle x and since angle YZX is equal to ABX from parallel lines, triangle ABX is similar to YZX from AA similarity.

A fitness center is interested in finding a 90% confidence interval for the mean number of visits per week that Americans who are members of a fitness club go to their fitness center, a distribution is used.

To compute a confidence interval, a distribution is used. In this case, since the sample size is large (257 members), the distribution used is the standard normal distribution. The formula to calculate the confidence interval is:

Confidence Interval = sample mean ± (critical value) * (standard deviation / √n)

The critical value is determined based on the desired level of confidence. For a 90% confidence level, the critical value corresponds to the 5th percentile and the 95th percentile of the standard normal distribution.

Using the given information, the sample mean is 2.6, the standard deviation is 1.3, and the sample size is 257. Plugging these values into the formula, we can calculate the lower and upper bounds of the confidence interval.

The resulting confidence interval will provide an estimate of the range within which the true population mean number of visits per week is likely to fall, with 90% confidence.

If many groups of 257 randomly selected members are studied, each group will produce a different confidence interval. The true population mean number of visits per week will be contained within a certain percentage of these intervals, which is determined by the chosen confidence level (90% in this case). The remaining percentage of intervals will not contain the true population mean. The exact percentages can be calculated based on the properties of confidence intervals and the concept of coverage probability.

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Answer:

9 dollars

Step-by-step explanation:

let x be per mile

the equation for solving this would be 0.5x + 3(flat fee)=amount you have to pay

The x is 12 since you have to go 12 miles

0.5(12)+3=amount you have to pay

6+3=amount you have to pay

$9=mount you have to pay

The required requirement of the density curve is should be equal to 1 and the ordinate should not be zero.

Given that,
Two requirements of a density curve are to be determined.

A density curve is defined as a curve on a graph that represents the distribution of values in a dataset.

Here,

The two requirements of a density curve should be,

a. The area under the density curve should be equal to 1.

b. The ordinate of the curve should not be zero i.e. they should always have the vertical height.

Thus, the required requirement of the density curve is mentioned above.

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(a) The interval on which f is increasing: (0, ∞)

The interval on which f is decreasing: (0, 1)

(b) Local minimum: At x = 1, f(x) has a local minimum value of -1.

There is no local maximum value.

(c) Inflection point: At x ≈ 0.293, f(x) has an inflection point.

The function f(x) = x^2 - x - ln(x) is a quadratic function combined with a logarithmic function.

To find the interval on which f is increasing, we need to determine where the derivative of f(x) is positive. Taking the derivative of f(x), we get f'(x) = 2x - 1 - 1/x. Setting f'(x) > 0, we solve the inequality 2x - 1 - 1/x > 0. Simplifying it further, we obtain x > 1. Therefore, the interval on which f is increasing is (0, ∞).

To find the interval on which f is decreasing, we need to determine where the derivative of f(x) is negative. Solving the inequality 2x - 1 - 1/x < 0, we get 0 < x < 1. Thus, the interval on which f is decreasing is (0, 1).

The local minimum is found by locating the critical point where f'(x) changes from negative to positive. In this case, it occurs at x = 1. Evaluating f(1), we find that the local minimum value is -1.

There is no local maximum in this function since the derivative does not change from positive to negative.

The inflection point is the point where the concavity of the function changes. To find it, we need to determine where the second derivative of f(x) changes sign. Taking the second derivative, we get f''(x) = 2 + 1/x^2. Setting f''(x) = 0, we find x = 0. Taking the sign of f''(x) for values less than and greater than x = 0, we observe that the concavity changes at x ≈ 0.293. Therefore, this is the inflection point of the function.

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Jutin chooses a function J(x) = 3x - 1 that when he uses the number 7 as an input, then the output is 20.

As per the given data, Jutin chooses a function in which he uses the number 7 as an input, then the output is 20.

Here we have to determine which function Jutin has to use.

Now we have to substitute the value that x = 7 in all the given functions.

First function:

F(x) = 2\(x^{5}\)

F(7) = 2 \((7)^{5}\)

F(7) = 2 (16807)

F(7) = 33614 which is not equal to 20.

Second function:

G(x) = \(x^{2}\) - 19

F(7) = \((7)^{2}\) - 19

F(7) = 49 - 19

F(7) = 30 which is not equal to 20.

Third function:

H(x) = 13 - x

H(7) = 13 - 7

H(7) = 6 which is not equal to 20.

Fourth function:

J(x) = 3x - 1

J(7) = 3(7) - 1

J(7) = 21 - 1

J(7) = 20

The correct function is J(x) = 3x - 1

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The general solution of f(x) is: \(f(x) = A + 1/2 x\)

We are given that:

\(f(x) H f(x) = x^{-3}\)

where H denotes the Hilbert transform.

To find \(f^{40} (x)\), we first need to find the general solution of f(x).

We can start by applying the Hilbert transform to both sides of the equation:

\(H[f(x) H f(x)] = H[x^{-3} ]\)

Using the properties of the Hilbert transform, we can simplify the left-hand side:

\(f(x) = -H^2[f(x)] - x^{-3}\)

where H^2[f(x)] denotes the double Hilbert transform of f(x).

Next, we can apply the Hilbert transform again to both sides:

\(H[f(x)] = -H^3[f(x)] - H[x^{-3} ]\)

Using the fact that\(H^2[f(x)] = -f(x)\), we can simplify the left-hand side:

\(-H[f(x)] = -H^3[f(x)] - H[x^{-3} ]\)

Multiplying both sides by -1, we get:

\(H[f(x)] = H^3[f(x)] + H[x^{-3} ]\)

Using the fact that \(H^3[f(x)] = -H[f(x)],\) we can simplify the equation further:

\(2H[f(x)] = H[x^{-3} ]\)

Applying the Hilbert transform once more, we get:

\(f(x) = -1/2 H^2[x^{-3} ]\)

Using the fact that \(H^2[x^{-3} ] = -x\), we can simplify the right-hand side:

\(f(x) = 1/2 x\)

Now, we can find f^(40)(x) by differentiating f(x) 40 times:

\(f(x) = 1/2 x\\f'(x) = 1/2\\f''(x) = 0\\f'''(x) = 0\\...\)

\(f^{40} (x) = 0\)

Therefore, the general solution of f(x) is:

\(f(x) = A + 1/2 x\)

where A is a constant.

And, the 40th derivative of f(x) is zero.

It's important to check that the general solution satisfies the original equation. In this instance, we can confirm:

\(f(x) H f(x) = (A + 1/2 x) H (A + 1/2 x) = x^{-3}\)

which is indeed satisfied if we set A = 0.

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The value of x is 4.47 units

In the given figure, there are two right angle triangle, to find the value of x we have to solve each triangle using the Pythagorean theorem.

Consider the bottom triangle

Base of the triangle = 6 units

The hypotenuse of the triangle = 9 units

Apply the Pythagorean theorem

The third side of the triangle = \(\sqrt{9^2-6^2}\)

= \(\sqrt{81-36}\)

= \(\sqrt{45}\) units

Similarly consider the top triangle

The base of the triangle = 5 units

The hypotenuse of the triangle = \(\sqrt{45}\) units

The third side of the triangle = \(\sqrt{\sqrt{45}^2- 5^2}\)

= \(\sqrt{45-25}\)

= \(\sqrt{20}\)

= 4.47 units

Hence, the value of x is 4.47 units

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Answer:

The points are (0, 4) and (5, 1).

Using the formula for slope, we have:

\(m = \frac{1 - 4}{5 - 0} = - \frac{3}{5} \)

\(y = - \frac{3}{5} x + 4\)

Answer:

x=5 y=8

Step-by-step explanation:

here's your answer. Please mark as brainliest

Answer:

u > - 7

Step-by-step explanation:

7u - 32 < - 3(6-3u)

7u - 32 < - 18 + 9u

18-32 < - 7u + 9u

-14 < 2u

2u > - 14

u > - 7

Answer:The solution is in the attached file below

Step-by-step explanation:

Answer 1:

7x-16xy-2

Answer 2:

4bc-5

Answer 3:

7-3x+y

3x+10

-2x²y

*Remove the parentheses for addition or subtraction*

\(7x-\left(4xy+12xy\right)-2\)

*Determine the sign*

\(7x-4xy-12xy-2\)

*Reorder and gather like terms*

\(7x+\left(-4xy-12xy\right)-2\)

*Collect coefficients of like terms*

\(7x+\left(-4-12\right)\timesxy-2\)

*Calculate the sum or difference*

\(7x-16xy-2\)

*Simplify or expand*

\(5bc-\left(5+bc\right)\)

*Remove the parentheses for addition or subtraction*

\(5bc-5-bc\)

*Reorder and gather like terms*

\(\left(5bc-bc\right)-5\)

*Collect coefficients of like terms*

\(\left(5-1\right)\) \(\times\) \(bc-5\)

*Collect the sum or difference*

\(4bc-5\)

*Simplify or expand*

\(7+(2x-5x)+y\)

*Determine the sign*

\(7+2x-5x+y\)

*Reorder and gather like terms*

\(7+\left(2x-5x\right)+y\)

*Collect coefficients of like terms*

\(7+\left(2-5\right)\timesx\) \(\times\) \(x+y\)

*Calculate the sum or difference*

\(7-3x+y\)

*Simplify or expand*

\(6x+10+(3x-6x)\)

*Determine the sign*

\(6x+10+3x-6x\)

*Reorder and gather like terms*

\((6x+3x-6x)+10\)

*Collect coefficients of like terms*

\((6+3-6)\) × \(x+10\)

*Apply the Inverse Property of Addition*

\(3x+10\)

*Simplify or expand*

\(3x^{2} y-5x^{2} y\)

*Collect coefficients of like terms*

\((3-5)x^{2} y\)

*Calculate the sum or difference*

\(-2x^{2} y\)

Answer:

a

Step-by-step explanation:

The circumference (C) of a circle is calculated as

C = 2πr ( r is the radius ) , then

C = 2π × 20 = 40π

Mr Yang needs to be aware of his legal position before opening his new company, given his history as a director and auditor. He should seek professional advice to ensure that he complies with all the legal requirements and regulations and avoids any potential legal consequences.

It is important for Mr Yang to understand his legal position before opening a new company, given his history as a director of previously wound-up companies and as an auditor of his wife's company. Mr Yang should take into account the Companies Act 2016, which outlines the legal responsibilities and obligations of company directors, as well as the potential consequences of breaching these obligations.
Under the Companies Act 2016, a director has a fiduciary duty to act in the best interests of the company and its shareholders. They are required to exercise due care, skill, and diligence in carrying out their duties, and to avoid conflicts of interest. If a director breaches these obligations, they can be held personally liable for any losses suffered by the company.Given that Mr Yang's previous companies were wound up, it is possible that he may have breached his legal obligations as a director. If this is the case, he could face legal action or be disqualified from acting as a director in the future. Furthermore, as an auditor of his wife's company, Mr Yang should ensure that he is fulfilling his legal responsibilities and carrying out his duties impartially and professionally.In terms of setting up a new company, Mr Yang should ensure that he complies with all the legal requirements and regulations governing the incorporation of a limited by shares company. This includes registering the company with the Companies Commission of Malaysia (SSM), obtaining the necessary licenses and permits, and adhering to the requirements of the Companies Act 2016.

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Step-by-step explanation:

The question is not complete or correct

Answer:0.8

Step-by-step explanation:

Answer

1/2 : 1/3 = 3/

2

= 1 1/

2

= 1.5

Step-by-step explanation:

1.5 is your answer