y = 5x + 2
4x - y = 0
Is (2 , 12) a solution of the system?

Answer:

[tex]y=2x+11[/tex]

Step-by-step explanation:

[tex]m=\frac{3-(-1)}{-4-(-6)}=2 \\ \\ y+1=2(x+6) \\ \\ y+1=2x+12 \\ \\ y=2x+11[/tex]

The first step in solving the equation by distributing is represented by "negative 12 x plus 20 = negative 16".

The correct answer option is option A

-4(3x - 5) = -16

Step 1:

apply distributive property

-12x + 20 = -16

Apply Subtraction equality

-12x = -16 - 20

-12x = - 36

applying division equality

x = -36 / - 12

x = 3

In conclusion, the solution to the equation as solved by Melanie by distributing is x = 3

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Motion that keeps a distance while traveling in a plane is referred to as rigid body motion. There are four types of transformations, also called stiff, congruent, isometric, or similar terms.

The separation between each pair of the geometric object's points is preserved during a rigorous change of the object. In other words, a rigid transformation maintains the object's size and shape. For instance, the rigid transformation of a triangle retains the angles and lengths of the triangle. Imagine a stiff shape distortion, similar to a cardboard shape. The form remains the same after being pushed left and right, rotated, and flipped. When the mold was created using putty, the opposite was true. The thing can then be twisted and stretched. These conversions, nevertheless, are not exact. Stretching a form alters the distances between each pair of its points.

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Answer:

C) 395 grams

Step-by-step explanation:

Box B = 350g and is lighter than box A, 45 gram

Box A = Box B +45

350 + 45 = 395 grams

So, the answer is C

Since the electrician charged $360 on a particular job, the number of hours that this electrician worked for is 4 hours.

In Mathematics, a linear function is sometimes referred to as an expression or the slope-intercept form of a straight line and it can be used to model (represent) the total amount of money that is being charged by this electrician;

T = mh + b

Where:

Therefore, the required linear function that represents the total amount of money that is being charged by this electrician per hour is given by this mathematical expression;

T = 80h + 40

When the total amount of money is $360, the number of hours worked by this electrician can be calculated as follows;

360 = 80h + 40

80h = 360 - 40

80h = 320

Time, h = 320/80

Time, h = 4 hours.

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The three categories are interquartile range, standard deviation, and variance. The range of a distribution's middle quintile is known as the interquartile range.

The difference between the highest and lowest values for a certain data set's statistics is the range. Any real number between any two other numbers in the set is considered to be in the range, which is a set of real numbers.

here

The range is the space between the highest and lowest numbers.

The range of a distribution's middle quintile is known as the interquartile range.

Average separation from the mean is known as standard deviation. Variance is defined as the sum of squared deviations from the mean.

Therefore, the three categories are interquartile range, standard deviation, and variance.

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The system of linear equations 2x – y = 7 and y = 2x + 3, has no solution.

Linear equations are those with a degree of 1. ax + by = c is the formula for linear equations in two variables, where a, b, and c are constants. We shall substitute the value of y in order to solve the system of linear equations.

Let equation (1) be 2x - y = 7 and equation (2) be y = 2x + 3

Enter the value of the equation y = 2x + 3 in equation (1).

2x - (2x+3) = 7

2x - 2x - 3 = 7

             -3 = 7

which is not true.

Therefore, there is no solution.

Correct Question:

What is the solution to the system of equations 2x – y = 7 and y = 2x + 3?

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The perimeter of the triangle is 5x + 12 inches

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

Lengths = 7 inches, 4x + 1 and x + 4

The perimeter of a triangle is the sum of the side lengths

so, we have

Perimeter = sum of side lengths

Substitute the known values in the above equation, so, we have the following representation

Perimeter = 7 + 4x + 1 + x + 4

Evaluate the sum

Perimeter = 5x + 12

Hence, the perimeter is 5x + 12

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Yes AAS and SAA are the same Methods for determining whether two triangles are congruent.

The acronym AAS or SAA stands for "Angle, Angle, Side or Side, Angle, Angle" denoting two angles and a side opposite them. AAS os SAA is one of the five methods for determining whether two triangles are congruent. It states that two triangles are congruent if their vertices are in one-to-one correspondence, that is if two angles and the side that is opposite to one of them in one triangle are congruent to the corresponding angles and the side that is not included in the second triangle. The side that is in opposition to either of the angles that are being used is called the non-include side. In layman's terms, two triangles are congruent if the sides of two pairs of corresponding angles are equal in each triangle.

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The formula for finding the asymptote of a hyperbola is

y-k =+/- b/a( x-h)

Hyperbola

A hyperbola is an open curve with two branches, the intersection of a plane with both halves of a double cone. The plane does not have to be parallel to the axis of the cone; the hyperbola will be symmetrical in any case.

An asymptote of the curve y = f(x) or in the implicit form: f(x, y) = 0 is a straight line such that the distance between the curve and the straight line lends to zero when the points on the curve approach infinity.

In Mathematics, infinity is the concept describing something larger than the natural number. It generally refers to something without any limit. This concept is predominantly used in the field of Physics and Math which is relevant in a number of fields.

The quintessential example of asymptotes are the vertical or horizontal lines given by x=0 and y=0, respectively, relative to the graph of the real-valued function f(x)=1x f ( x ) = 1 x in the first quadrant.

In the cartesian system, the coordinate plane is divided into four equal parts by the intersection of the x-axis (the horizontal number line) and the y-axis (the vertical number line). These four regions are called quadrants because they each represent one-quarter of the whole coordinate plane.

The formula for finding the asymptote of a hyperbola is

y-k =+/- b/a( x-h)

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An asymptote of the curve y = f(x) or in the implicit form: f(x, y) = 0 is a straight line such that the distance between the curve and the straight line lends to zero when the points on the curve approach infinity.

The quintessential example of asymptotes are the vertical or horizontal lines given by x=0 and y=0, respectively, relative to the graph of the real-valued function f(x)=1x f ( x ) = 1 x in the first quadrant.

The binomial factors of x²-16 is (x+4) and (x-4).

Binomial refers to an algebraic expression that only has two terms. A polynomial with two terms, it. It is referred to as a sum or difference between two or more monomials as well. It is a polynomial's most straightforward form.

Having two terms makes a polynomial a binomial. Binomials include, for instance, x 2 x -2 x2 and x 6 x -6 x6. This article will go over multiplying these binomials.

An integer that may be derived by evaluating a homogeneous polynomial with two terms is known as a binomial number in mathematics, more specifically in number theory.

Here, x²-16=0

Rewrite 16 as 42, and the expression will be equal to 0 if any of the factors on the left side of the equation are equal to 0.

x+4=0 and locate x.

Once x=-4 x-4=0 and x=4 are found.

As a result, the final solution is x = 4, 4 and all choices that lead to (x + 4) (x 4) = 0 are true.

Hence, The binomial factors of x²-16 is (x+4) and (x-4).

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Answer:

Bonjour

h(x) = x² - 6x + 5 définie sur [0 ; 5 ]

1)

L' oiseau a commencé son vol à

h(0) =(0)² - 6(0) + 5 = 5 donc 5 mètres

3)

h(x) atteint son maximum pour x = -b/2a = 6 / 2 = 3

h(3) = 9 - 18 + 5 = -4 mètres

4)

(x-1)(x-5) = x² - 5x - x + 5 = h(x) ce qu'il fallait démontrer

5)

h(x) = 0 revient à

(x-1)(x-5) = 0 pour x = 1 et pour x = 5

L' oiseau est entré dans l'eau à 1 mètre et en est ressorti à 5 mètres

Bonne fin de journée

Answer: ΔDEB ≅ ΔCEA; SAS

Step-by-step explanation:

          Using the diagram below, we can see that these two triangles share an angle, meaning that angle in both triangles is congruent. Next, we see dashed lines representing congruence for two of the other sides. This means these two triangles are proved congruent by SAS;

    S = Side

    A = Angle

    S = Side

          See attached for a visual.

Answer:

6' = 12" with a scale of 1

8'= 20" with a scale of 1

6" = 12' with a scale of 1

48" = 146' with a scale of 1

-------------------------------------------

6' = 18" with a scale of 0.5

8' = 25" with a scale of 0.5

6" = 24' with a scale of 0.5

48" = 58' with a scale of 0.5

Step-by-step explanation:

Should be right.

There might be 200 votes cast overall. Given that a certain club has 50 members, 4 of those individuals are running for president, and every club member—including those running for president—votes for one of the four candidates, Understanding the provided conditions will help you get this.

We can discuss the probabilities of different outcomes, or how likely they are, whenever we are unsure of how an event will turn out. Statistics is the study of events with a probability distribution.

given

There are 50 members in one club.

Each club member, including those vying for president, votes for one of the four candidates. There are four people standing for president.

We can write that based on the statements provided.

those who voted for these 4 members,

n = 50 Because the candidates have the option to vote for themselves or someone else,

There are x = 4 options available for each club member.

Thus, there are several distinct vote totals that could occur:

n ×4 = number of distinct votes possible

= 50 × 4

= 200

As a result, 200 votes are conceivably cast..

There might be 200 votes cast overall. Given that a certain club has 50 members.

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The statement is true that is root 2 over 2 is equal to 1 over root 2 is true we can write as √2/2=1/√2.

Given that,

We have to find is root 2 over 2 is equal to 1 over root 2.

We know that,

A number can be squared, but it can also be divided into its square root. The value we get from multiplying a number by itself yields its square value, whereas the value we get from finding a number that, when squared, yields the original value of the number yields its square root value.

Now,

Root 2 over 2 is equal to 1 over root 2 can write as

√2/2=1/√2

Taking multiplying √2 on both side.

√2/2×√2=1/√2×√2

(√2×√2)/2=(1×√2)/√2

2/2=√2/√2

1=1

Therefore, The statement is true that is root 2 over 2 is equal to 1 over root 2 is true we can write as √2/2=1/√2.

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There are a few different contexts in which the concept of continuity arises, and the specific conditions that must be satisfied for something to be considered continuous can vary depending on the context. Here are three common sets of conditions that are often used to define continuity:

In mathematics, a function is generally considered to be continuous if it satisfies the following three conditions:

In physics, a physical quantity is generally considered to be continuous if it can vary smoothly and continuously over a range of values, rather than taking on only discrete values.

In computer science, a function is generally considered to be continuous if it satisfies the following three conditions:

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There are a few different contexts in which the concept of continuity arises, and the specific conditions that must be satisfied for something to be considered continuous can vary depending on the context. Here are three common sets of conditions that are often used to define continuity:

In mathematics, a function is generally considered to be continuous if it satisfies the following three conditions:

In physics, a physical quantity is generally considered to be continuous if it can vary smoothly and continuously over a range of values, rather than taking on only discrete values.

In computer science, a function is generally considered to be continuous if it satisfies the following three conditions:

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The equation for graphing y = 4 in slope-intercept form is y = 4x + 0. This equation can be graphed by plotting the point (0, 4) and then using the slope of 0 to draw a horizontal line that passes through that point.

1. Plot the point (0, 4)

2. Draw a horizontal line that passes through the point (0, 4). This line will have a slope of 0.

Start by plotting the point (0, 4). This point marks the y-intercept of the graph. Then, draw a horizontal line that passes through this point. The slope of this line will be 0, which is necessary for graphing the equation y = 4 in slope-intercept form. The equation for this graph is y = 4x + 0 and the graph should be a straight, horizontal line that passes through the point (0, 4).

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Answer:

To find the quotient of 3/4 and 5/6, divide each number by 2: 3/4 = 1/2 and 5/6 = 3/4. Therefore, the quotient is 1 1/9.

Step-by-step explanation:

AS per the given details, the system of linear inequalities for each ticket is  x + y ≥ 30, 7.5x + 12.5y ≤ 400

The term inequation is a claim that one quantity or algebraic expression has a value that is not equal to another.

Here we have given that Cian is buying movie tickets for a group. He wants to have at least 30 tickets and spend no more than $400. Adult tickets cost $12. 50 and child tickets cost $7. 50.

And we need to find the system of inequalities can be used to find the number of each type of ticket can could buy.

According to the given information, here we are given that,

The adult tickets cost $12.50 and the child tickets cost $7.50.

Let us consider the number of adult tickets be y and the number of child tickets be x.

Here we also given that, that Cian wants to spend no more than $400.

So, the system of inequations is written as

=> x + y  ≥ 30,

And the other inequality is written as,

=> 7.5x + 12.5y ≤ 400

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Answer:

Below

Step-by-step explanation:

See attached image below

There is no mode in the data set 1, 2, 3, 4, 5,6,7,8,9.

A mode is defined as the value that has a higher frequency in a given set of values. It is the value that appears the most number of times.

Given that,

Data set= 1, 2, 3, 4, 5,6,7,8,9

By the definition of mode, it is clear that the most observed data in a data set will be the mode of that data set. And this can be zero also. And it can be more than zero.

In statistics, the mode is the most commonly observed value in a set of data. And for the normal distribution, the mode is always the same as the mean and median. But in many cases, the modal value of a data set will differ from the average value in the data.

If we take our question then 1, 2, 3, 4, 5, 6,7,8,9.

Here, no term is repeated more than once.

So, there is no most observed term.

So, there is no mode in this data.

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The age of Ally and Burke is

1/2    [1   1 ]   [6 ]  -   [16]

     [  -1    1]   [  26]   [ 10]

A mathematical expression is made up of a statement, at least two integers or variables, and one or more arithmetic operations. This mathematical operation enables the multiplication, division, addition, or subtraction of numbers.

Algebraic expressions fall into three main kinds, including: Numeral Expression.

Binary Expression

Expression of a polynomial.

Let the age of Ally be x years

Then age of Burke will be x+6 years

Given, Sum of their age is 26

Therefore x+x+6=26

2x=26 - 6

x = 10

Thus the age of Burke is 10 years

Now age of Ally will be x + 6= 10 + 6 = 16

That is

1/2[1   1 ] [6 ]  - [16]6

  [  -1    1] [  26]   [ 10]

Therefore the age is of ally is 16 and burke is 10

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A permit is a legal document that enables a person or a business to utilize a specific area for a project or other activity.

To obtain permission to use a specific location for a project, you may need to submit a request in writing or fill out a permission form. The exact document that you need to obtain permission will depend on the specific location and the requirements of the owner or manager of the location.

You may also need to provide information about your project, including the purpose, duration, and any potential impact on the location. Depending on the location and the nature of your project, you may also need to obtain other approvals or permits, such as building permits or environmental permits.

It is a good idea to research the requirements for using the specific location that you are interested in and to contact the appropriate authorities or individuals to find out what documents you need to obtain permission.

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With a 95 percent confidence interval, you have a 5 percent chance of being wrong.

You have a 5% probability of being incorrect with a 95% confidence interval. You have a 10% probability of being incorrect with a 90% confidence interval. A 95% confidence interval is narrower than a 99% confidence interval (for example, plus or minus 4.5 percent instead of 3.5 percent).

What is the correct calculation for a 95% confidence interval?

The 68-95-99.7 Rule states that 95% of values lie within two standard deviations of the mean, hence to get the 95% confidence interval, you add and subtract two standard deviations from the mean.

In statistics, confidence is another word for probability. If you create a confidence interval, for instance, with a 95% level of confidence, you can be sure that 95 out of 100 times, the estimate will fall between the upper and lower values indicated by the confidence interval.

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The mean of the data 1,2,3,4,5,6,7 is 4.

Mean is the average of the given numbers and is calculated by dividing the sum of given numbers by the total number of numbers.

The basic formula to calculate the mean is calculated based on the given data set. Each term in the data set is considered while evaluating the mean. The general formula for mean is given by the ratio of the sum of all the terms and the total number of terms. Hence, we can say;

Mean = Sum of the Given Data/Total number of Data

Mean= 1+2+3+4+5+6+7 / 7 = 28/7 = 4

Hence, The mean of the data 1,2,3,4,5,6,7 is 4.

Complete question: What is the mean value of 1,2,3,4,5,6,7?

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The expected value to pick a package is $.1125.

To find the expected value, you need to multiply the value of each package by the probability of selecting it and then add up all of these values.

The probability of selecting one of the $.70 packages is 20/40 = 1/2, since there are a total of 40 packages and 20 of them are worth $.70. The expected value of selecting one of these packages is $.70 * (1/2) = $.35

The probability of selecting one of the $.60 packages is 15/40 = 3/8, since there are a total of 40 packages and 15 of them are worth $.60. The expected value of selecting one of these packages is $.60 * (3/8) = $.22.5

The probability of selecting one of the $.30 packages is 5/40 = 1/8, since there are a total of 40 packages and 5 of them are worth $.30. The expected value of selecting one of these packages is $.30 * (1/8) = $.0375

The expected value of selecting one package at random is therefore $.35 + $.22.5 + $.0375 = $.61.25. However, you have to pay $.50 to pick a package, so the net expected value is $.61.25 - $.50 = $.1125.

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Picking a bundle is anticipated to be worth $.1125.

You must multiply the value of each package by the likelihood that it will be chosen before adding up all of these values to arrive at the expected value.

Given that there are a total of 40 packages and 20 of them are valued at $.70 each, the likelihood of choosing one of the $.70 packages is 20/40 = 1/2. Selecting one of these packages has an expected value of $.70 * (1/2) = $.35.

Given that there are 40 products in total and 15 of them are worth $.60 each, the probability of choosing one of the $.60 packages is 15/40 = 3/8. Choosing one of these packages will result in a value of $.60 * (3/8) = $.22.5.

There are a total of 40 packets, and 5 of them are worth $.30, hence the likelihood of choosing one of the $.30 packages is 5/40 = 1/8. By choosing one of these packages, the predicted value is $.30 * (1/8) = $.0375.

Therefore, $.35 + $.22.5 + $.0375 = $.61.25 is the expected value of choosing one package at random. The net expected value is $.61.25 - $.50 = $.1125 due to the fact that you must pay $.50 to choose a bundle.