Choose the justification for the step below.
21+7x= 14
7x= -7
a) additive property of equality
b) multiplication/division property of equality
c) distribution
d) none of these

The rate of change of y with respect to x is the slope of the line which is  2.

To find the slope of a line, you can use the following formula:

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

where (x1, y1) and (x2, y2) are two points on the line.

For example, if the table shows the following values for x and y:

[tex]\boxed{x | y}\\\boxed{0 | 0}\\\boxed{2 | 4}\\\boxed{4 | 8}[/tex]

The slope of the line can be calculated by finding the difference in the y-values between two points and dividing it by the difference in the x-values between those same two points. For example, the slope between the points (0,0) and (2,4) would be calculated as follows:

slope = (4 - 0)/(2 - 0) = 4/2 = 2

Therefore, the rate of change of y with respect to x is 2.

The slope of a line represents the rate of change of one variable (y) with respect to another variable (x). In other words, it tells us how much y changes for every unit change in x. In this case, the slope of the line is 2, which means that for every unit increase in x, y increases by 2 units. This is a linear relationship because the slope is constant, meaning that the rate of change is always the same.

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You can also manually convert a scatter plot to a four-quadrant graph

First, delete the trend line from your scatter diagram.

When does a graph represents a function?

A graph represents a function if it has no vertically aligned points, that is, each value of x is mapped to only one value of y.

How do you make a 4 quadrant line graph in Excel?

You can also manually convert a scatter plot to a four-quadrant graph

First, delete the trend line from your scatter diagram.

Second, reformat your X-Axis. ...

Third, reformat your Y-Axis. ...

Once you have updated both the X and Y Axis Values, you should have a XY Scatter Diagram with Four Quadrants

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Without going to an SSS branch, members of SSS can update or amend their contact information, including their phone number, cell number, postal address, overseas address, and email address.

A passport Member's copy of Personal Records (SS Forms E-1, RS-1, OW-1, and NW-1) lawfully received by the SSS where the proper sex is specified is a needed document. If the sex on the birth certificate is entered incorrectly or if a birth certificate correction petition is lodged, the court will allow the petition.

Application Conditions

An application for a member loan.

E-6 (acknowledgement stub) with any two legitimate IDs, one of which has a current photo, or SSS digital ID. valid driving license. ID card from the Professional Regulation Commission (PRC). Passport. a postal ID. ID from a company or school. TIN card: a tax identification number.

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The frequency of a class is the number of data points that fall within the class is 1.

To determine the frequency of each class in the table shown, we must first divide the data points into the respective classes. The classes are 1003, 1062, 1063, 1122, 1123, 1182, 1183, 1242, 1243, 1302, 1303, and 1362.

For the class 1003, the frequency is 1, since there is only one data point (1003) in this class.

For the class 1062, the frequency is also 1 since there is only one data point (1062) in this class.

For the class 1063, the frequency is also 1 since there is only one data point (1063) in this class.

For the class 1122, the frequency is 1 since there is only one data point (1122) in this class.

For the class 1123, the frequency is 1 since there is only one data point (1123) in this class.

For the class 1182, the frequency is 1 since there is only one data point (1182) in this class.

For the class 1183, the frequency is 1 since there is only one data point (1183) in this class.

For the class 1242, the frequency is 1 since there is only one data point (1242) in this class.

For the class 1243, the frequency is 1 since there is only one data point (1243) in this class.

For the class 1302, the frequency is 1 since there is only one data point (1302) in this class.

For the class 1303, the frequency is 1 since there is only one data point (1303) in this class.

For the class 1362, the frequency is 1 since there is only one data point (1362) in this class.

Therefore, the frequency of each class in the table shown is 1.

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Using the values provided in the ordered pair, The linear inequality is satisfied by putting the ordered pair values and checking if the statement is true or false.

An ordered pair is made up of the ordinate and the abscissa of the x coordinate, with two values given in parenthesis in a certain sequence.

When two mathematical statements or two numbers are compared in an unequal way, it is known as an inequality in mathematics. Inequalities can generally be classified as either algebraic or numerical, or as a combination of the two.

ordered pair=(1,2)

linear inequality equation,

[tex]4x_{1}-x_{2} > 0[/tex]

using value from ordered pair,

[tex]4*1 - 2 > 0[/tex]

[tex]2 > 0[/tex]

which is true. That is it satisfies the given linear inequality.

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Answer:

Below

Step-by-step explanation:

TOTAL AREA of circle with 15' radius = pi r^2 = 706.9 ft^2

this is a fraction of the total 360 degrees of the circle

x/360 = 183.65 /706.9

  x = 93.5 °     or   1.63 Radians   is the central arc angle

On solving the provided question, we can say that - equation [tex]5x^3 + 7x^2+ax = 28[/tex] at x= 4 that value of a is = - 101

A number that divides another number by itself with no residual is known as a factor. In other words, if multiplying two whole numbers results in the creation of a product, the numbers we are multiplying are factors of the product since the product is divisible by them. Division and multiplication are the two ways to discover factors. A number or other mathematical object is factorized or factored in mathematics by expressing it as the product of numerous factors, often smaller or simpler things of the same sort. One factorization of the polynomial x2 - 4 is 3 5, which is also a factorization of the number 15.

[tex]5x^3 + 7x^2+ax = 28\\5(4)^3 + 7(4)^2 + 4a = 28[/tex]

a= -404/4

a = -101

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The types of roots in math are known as real roots , imaginary roots or repeated roots.

roots > 0  imaginary

roots < 0  real

roots = 0  repeated

When the roots are bigger than zero, they are referred to as real roots. When the value of the obtained roots is less than zero, the obtained roots are referred to be not real or imaginary roots.

When the sum of the obtained roots equals zero, we conclude that the roots are repeated.

In order to find the roots of a equation we can plot them on a graph and the solve them or we can factorize the given equation. We can also use the formula to calculate graph using determinant method.

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Answer:

Step-by-step explanation: 6* (N + 6) = -24

                                              6*n + 6*6=-24

                                               6n+36=-24

                                                   -36   -24

                                                   6n=-60

                                                    n=-10

The median number of 1 2 3 4 is 2.5

The middle value in a sorted, ascending or descending list of numbers is known as the median, and it has the potential to describe a data collection more accurately than the average does. It reflects the midway of the data since it is the point above and below which half (50%) of the observed data falls.

The number given is 1 2 3 4

We have to determine the median of the above number.

If the number of words is even, we must add two middle terms and divide the result by two. The median is what we obtain as a mean.

Substitute the value in above equation we get,

=(2+3)/2

Adding the two number we get,

=5/2

Now dividing 5 by 2 we get,

2.5

Median=2.5

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Answer:

9

Step-by-step explanation:

The top of the slope starts at 1, and it repeats at 9

The function given by the  question, [tex]f(x) = \frac{x^{2} }{6x+31}[/tex] , the vertical asymptote will be at x = -31/6 and there will be no horizontal asymptote.

A horizontal asymptote is a line that guides the graph of a function for x-values that are "far" to the right or left but not on the graph itself. The graph might cross it, but ultimately, for sufficiently big or sufficiently low values of x, the graph would approach the asymptote without hitting it. A slant asymptote has a specific instance known as a horizontal asymptote.

A vertical line that directs the function's graph but is not actually a part of it is called a vertical asymptote. Because it appears at an x-value outside of the function's scope, the graph can never cross it. There may be several vertical asymptotes for a given function.

Solve 6x + 31 = 0 for x to obtain the vertical asymptotes of the function x2/(6x+31). The vertical asymptote is x = -31/6 because x = -31/6 is the solution. Because the degree of the numerator is larger than the degree of the denominator by 2, the function has no horizontal asymptotes (1).

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The answer is random sampling in my thinking.

please mark me brainliest<3

Therefore , the factor of the 7th grade math equation  3x + 6 are

3 and (x + 2)

The equal sign is used between numerical or changeable expressions to create an equation, such as 3x+5=11.

A number that can be entered as the variable's replacement in an equation serves as the solution.

Here,

The seventh grade can be viewed as the following:

to produce 3x + 6

Put each term in writing as the outcome of irreducible factors:

3x = 3 × x

6 = 2 × 3

(3 × x) + (2 × 3) = 3x + 6

Three is a common element in the previous two words.

According to the distributive property, 3 x (plus 2) equals 3 x + 2 x 3.

Therefore, 3x + 6 equals 3(x + 2), where 3 and (x + 2) are the variables that make up 3x + 6, and these factors cannot be further divided.

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The exact values for angles sine, cosine and tangent are

sin((7π/8)/2) = ±0.98078°

cos((7π/8)/2) = ±0.19509°

tan(7π/8) = ± 5.02733°

What is half angle identities?

In trigonometry, the half-angle formula is used to calculate the precise values of trigonometric ratios of angles like 15° (half of the standard angle 30°), 22.5° (half of the standard angle 45°), and so on. The half angle is represented by θ/2 if is an angle.

Let the given angle is θ = 7π/8.

We have to find the exact values of the sine, cosine and tangent angles using half angle formulas.

Consider, the half angle formula for sine,

sin(θ/2) = ± √((1 - cosθ) / 2)

sin((7π/8)/2) = ±√((1 - cos(7π/8)/2)

sin((7π/8)/2) = ±0.98078°

Now consider the half angle formula for cosine,

cos(θ/2) = ± √(1 + cosθ)/2

cos((7π/8)/2) =  ± √(1 + cos(7π/8)/2)

cos((7π/8)/2) = ±0.19509°

Now consider the half angle formula for tangent,

tan(θ/2) = ± √((1 - cosθ)/(1 + cosθ))

tan(7π/8) = ± √((1 - cos(7π/8))/(1 + cos(7π/8)))

tan(7π/8) = ± 5.02733°

Hence, the exact values for angles sine, cosine and tangent are

sin((7π/8)/2) = ±0.98078°

cos((7π/8)/2) = ±0.19509°

tan(7π/8) = ± 5.02733°

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A function is a group of components or inputs that have a relationship and produce an outcome. A function's inverse is the function's opposite. When a function's inverse is applied, its domain changes to its range, and conversely.

The core of calculus in math is the concept of functions. The unique types of connections are the ones with functions. Mathematical functions are represented as a rule that, for each input x, produces a distinct result.

As per the question, the relationship between a function and its inverse will be:

1. A group of elements or inputs that are related to one another and produce an output is referred to as a function.

2. A function's reverse is called a function's inverse.

3. When a function is inverse, the domain becomes the range, and vice versa.

4. The graphs of the two concepts—function and inverse—will resemble one another in reverse.

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Answer:

25 it's easy as 123 ABC 123 abc

Answer: Solving x2 - 4x - 7 = 0 by completing the square, the solutions are x = ±√11 + 2.

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

It is! A function is defined as an operation that when given a number, it returns a unique number back. The 4th root satisfies this, so it is a function!

hope this helps :)

Answer:

Below

Step-by-step explanation:

In a RIGHT triangle, sin (angle ) = opposite leg/ hypotenuse

  sooooo   sin (x) = 7.1/8.5

                    sin (x) = .835

                    x = arcsin (.835) = 56.6°

Answer:

17.5

Step-by-step explanation:

Since X is right next to 2.5 and x =15 2.5x15=37.5 and then you subtract 20

Answer:

x = 30/11 = 2 8/11 is approximate 2.727

Step-by-step explanation:

hope this helped:)

Answer:

sh. 32

Step-by-step explanation:

Before the reduction, the cost was [tex]35(8/7)=[/tex]sh. 40.

Therefore, the price before the increase was [tex]40(4/5)=[/tex]sh. 32.

The independent variable x represents the initial amount of her savings account, and the dependent variable y represents the deposited amount into her savings account.

What is the independent and dependent variable?

In mathematical modeling, statistical modeling, and experimental sciences, dependent and independent variables are variables. Dependent variables are so named because their values are studied in an experiment under the assumption or demand that they are dependent, by some law or rule, on the values of other variables.

We have,

On week 9, her savings account has a balance of $496,

on week 16, her savings account has a balance of $664.

The equation which represents the situation is:

consider x for the initial amount in the account and y for the weekly deposited amount into her savings account.

so,

x + 9y = $496,

x + 16y = $664.

Hence, the independent variable x represents the initial amount of her savings account, and the dependent variable y represents the deposited amount into her savings account.

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According to the passage, the historical event that is most reminiscent of this is Bloody Sunday. Thus, the correct option for this question is A.

Reminiscent experiences are ones that one should keep in mind from the past and are frequently recorded in books. It symbolizes the feeling of recollections of something similar coming back.

The song that they sang five times in a row creates a sensation of joy, according to the context of this inquiry. But regrettably, the commotion roused Mr. Jones, who sprang out of bed and checked to see whether there was a fox in the yard. The historical occurrence that most closely resembles this is Bloody Sunday.

Therefore, the historical event that is most reminiscent of this is Bloody Sunday.

Complete question:

They were so delighted with the song that they sang it right through five times in succession and might have continued singing it all night if they had not been interrupted, Unfortunately, the uproar awoke Mr. Jones, who sprang out of bed, making sure that there was a fox in the yard. He seized the gun which always stood in a corner of his bedroom, and let fly a charge of Number 6 shot into the darkness. The pellets buried themselves in the wall of the barn and the meeting broke up hurriedly.

Which historical event is this passage most reminiscent of?

A-Bloody Sunday

B-the Bolshevik Revolution

C- the rise of Lenin

D-collectivization

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The paragraph claims that Bloody Sunday is the historical occurrence that most closely resembles this one. As a result, choice A is the right response to this query.

Reminiscent experiences are ones from the past that one should remember and are usually written about in novels. It represents the sensation of memories of something similar returning.

According to the setting of this enquiry, the song that they sang five times in a row induces feelings of delight. Unfortunately, the noise woke up Mr. Jones, who quickly got out of bed to investigate if there was a fox in the yard. Bloody Sunday is the historical episode that most closely approaches this.

Bloody Sunday is the historical occurrence that most closely resembles this now.

Which historical event is this passage most reminiscent of?

A-Bloody Sunday

B-the Bolshevik Revolution

C- the rise of Lenin

D-collectivization

The method of sampling where the person most knowledgeable of the subject of study selects the elements of the population that he or she feels are the most representative of the population is judgement sampling

The judgement sampling is a non probability that the researcher selects units to be sampled based on his own  knowledge and professional judgement. Here the probability is not a factor.

The given question is the person most knowledgeable of the subject of study selects the elements of the population that he or she feels are the most representative of the population.

Here the given sampling is matches the judgement sampling, because the selecting the units to be samples based on her or his knowledge and judgement

Therefore, the sampling method is judgement sampling

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The provided phrase, x3+4x2+ 7x+ â' 2 has four terms.

Expressions are made up of terms. A term might be either a constant, a variable, or a combination of both.

A single letter, a single positive or negative integer, or a number of variables multiplied but never added or subtracted might be the only variable. A number is placed in front of some nouns that have variables. The number used before a sentence is called a coefficient. single-word illustrations: Three times in one phrase.

The mathematical operator + separates the four components in the equation x3+4x2+ 7x+â' 2.

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Answer: B. David gained 100 subscribers every 3 months.

Step-by-step explanation:

       The slope of the line shows us the change. First, we will need to find the slope. We will use "rise over run" to do this, resulting in a slope of 100/3. This represents 100 subscribers every three months leading us to answer option B;

             B. david gained 100 subscribers every 3 months

Answer: 24 weeks

Step-by-step explanation:

Take 12 divided by 16 = 0.75 ounce per week

Then take 18 divided by 0.75 = 24 weeks

Answer:

D because it is a increase in liability and the increase in the lability is always credited so it is posted in the T account.