Why is it called linear function?

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:

y + 2y = 3y

Explanation:

y and 2y are like terms. Their sum is 3y

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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Obtuse angles, right angles (90 degrees), and acute angles are the three sorts of angles that we can distinguish in order from largest to smallest (smaller than a right angle).

In Euclidean geometry, an angle is made up of two rays that share a terminal and are referred to as the angle's sides and vertices, respectively. Angles can be formed by two rays in the plane where they are placed.

Additionally, when two planes overlap, angles are created.

Dihedral angles are what they are called.

The names of fundamental angles include acute, obtuse, right, straight, reflex, and full rotation.

A geometrical shape called an angle is created by connecting two rays at their termini. In most cases, an angle is expressed in degrees.

Order of angles from largest to smallest: obtuse angles are the three types of angles that we can recognize (larger than a right angle), Right angles (90 degrees), and acute angles (smaller than a right angle).

Therefore, the order of angles from largest to smallest: obtuse angles are the three types of angles that we can recognize (larger than a right angle), Right angles (90 degrees), and acute angles (smaller than a right angle).

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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.

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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Area of rectangle= [tex]12x^{2} y^{4}[/tex] id from given breadth and length of rectangle that are given in form of monomial.

The result of non-negative powers of variables is a monomial. A monomial will only have one term and no variables in the denominator.

A binomial, which is the product of two monomial, has two dissimilar terms.

The area of a rectangle with length l and width w is given by the formula

A = l×w.

In this case,

length of the rectangle = 3x²y

width = 4y³

Therefore, the area of the rectangle is given by A = 3x²y * 4y³

                                                                                   = [tex]12x^{2} y^{4}[/tex]

This is a monomial because it is a single term that contains only variables and their exponents.

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Answer: Since all the corresponding sides of two congruent polygons will be equal, their scale factor will be 1.

Step-by-step explanation:

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 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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Prakash's total score in math and science is (x+90)marks

This word problem will need as to write what we have been given and analyze and come up with an equation to solve it

We are given that Prakash's score in science is = x marks

and that Prakash's score in mathematics = 90 marks

Therefore to get the total score in both math and science will we have to add the score Prakash scored in math and the score Prakash scored in science:

This will translate to (x) +(90)

We will get the total as x+90

hence the total score will be x+90 marks

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Answer: A. (1, -16)

Step-by-step explanation:

Use a graphing calculator.

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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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:  4 2/3

Step-by-step explanation:

14/3 is an improper fraction. Let's take the numerator and divide it by the denominator.

Divide 14 by 3. The quotient digit is 4.

Multiply the quotient digit 4 by the divisor 3.

Subtract 12 from 14.

The result of 14 divided by 3 is 4 with a remainder of 2.

Thus, 14/3 as a mixed number can be written as 4 2/3.

14/3 as it can't further cut out.

Because in a mixed number it is 4 2/3. This can be expressed as a fraction by multiplying the whole number (4) by the denominator (3) and adding it to the numerator (2), giving a fraction of 14/3.

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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:

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.

Parallel lines are defined as lines that do not intersect or meet at any point in a plane. They are always parallel and equidistant from one another.

What is answer parallel line?

In geometry, parallel lines can be defined as two lines in the same plane that are at equal distance from each other and never meet. They can be both horizontal and vertical.

Parallel lines are two lines in the same plane that are equal distance apart and never intersect.

Real-world parallel line examples include railroad tracks, sidewalk edges, street markings, zebra crossings, the surface of pineapple and strawberry fruit, staircases and railings, and so on.

Parallel lines are lines in a plane that never meet, no matter how far they are extended. The distance between the parallel lines is constant because they never meet.

Parallel lines are defined as lines that do not intersect or meet at any point in a plane. They are always parallel and equidistant from one another.

these are 8 parallel lines

2x+3y = 6

2x+3y = 4

2x+3y = 1

2x+3y = 2

2x+3y = 3

2x+3y = 8

2x+3y = 7

2x+3y = 5

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Answer:

A dog eating 4 cups each day

Step-by-step explanation:

Because the unit rate is like a unit number over 1.

Example: 3 miles per hour

So, I think the answer is A dog eating 4 cups each day

(x+1) & (x-5) are the factors of given equation.

The given Equation is,

x3- [tex]3x^{3}[/tex] - 9

Here, If we substitute x =5, in the given equation, then we find

     (5)3 - 3(5)3 - 9*5 -5 = 0

x-5 is factor of given equation to find another factor dividing given equation by x-5

    we will get =(x2+2x+1) after dividing the equation by x - 5

Hence x3- [tex]3x^{3}[/tex] - 9 =(x2+2x+1) (x-5)

                            =(x+2)2 (x-5)

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The correct statement regarding the proportional relationships is given as follows:

B. Karleigh ran a greater distance. The slope of the line described by the data in her table increased at a rate of 1/10, compared to 1/12 for Andrew.

To obtain the person who runs faster, we need to look at their rates, as the time and the distance form a proportional relationship.

Andrew ran 1.5 miles in 18 minutes and 2 miles in 24 minutes, hence his rate is given as follows:

k = 1.5/18 = 2/24 = 1/12 = 12 minutes per mile.

Karleigh ran 3 miles in 30 miles and 4 miles in 40 minutes, hence her rate is given as follows:

k = 3/30 = 4/40 = 1/10 = 10 minutes per mile.

Due to the lower number of minutes per mile, Karleigh ran faster, and the correct option is given by option B.

Andrew ran 1.5 miles in 18 minutes and 2 miles in 24 minutes.

Karleigh ran 3 miles in 30 miles and 4 miles in 40 minutes.

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Answer:

8/15

Step-by-step explanation:

There are 15 equal-sized sectors:

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15

The odd ones are:

1, 3, 5, 7, 9, 11, 13, 15

There are 8 odd numbered sectors.

p(event) = (number of desired outcomes)/(total number of possible outcomes)

p(odd) = 8/15

Answer:

1 7/12 hours

Step-by-step explanation:

1/3 + 11/4

The common factor is 12

4/12 + 13/12 = 1 7/12

When constructing an angle bisector using a compass, all three arcs do not need to have the same radius.

To construct an angle bisector, you first place the point of the compass on one of the angle's vertices and draw an arc that intersects both sides of the angle. Next, you place the point of the compass on the other vertex of the angle and draw another arc that also intersects both sides of the angle. Finally, you draw a straight line through the point where the two arcs intersect, which will bisect the angle.

The radius of the compass does not affect the construction of the angle bisector, as long as the compass is set to a radius that is large enough to intersect both sides of the angle at some point. As long as the arcs intersect, the angle bisector can be accurately constructed, regardless of the radius of the arcs.

The complete question is:-

When constructing an angle bisector, the compass must be used to make three arcs. Do all three arcs need to have the same radius? Explain.

- Yes, because then the marks are equidistant from each other.

- Yes, because you need the points of intersection of the angle and arcs to form a parallelogram.

- No; the second two arcs must have the same radius but it can be different from the first.

- No; any three radii will work.

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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 correct formula that you need to enter in excel to divide the number of cars by the number of people is = B92/ C92.

This is spreadsheet program mainly used to organize numerical and non-numerical data using tables and graph. One of the advantages of this program is that it allows you to set formulas to automatically obtain results by applying mathematical operations to the cells selected.

Considering the task is to divide the number of cars by the number of people, the correct symbol to use is the symbol / or divide. Moreover, in the formula you need to include the correct cells. In this case, the number of cars is cell B92 and the number of people is cell C92. Therefore, the correct complete formula is B92/ C92.

Note: This question is incomplete; here is the missing section:

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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:

{-27, -11, 21}

Step-by-step explanation:

[tex]x=-2 \implies y=-8(-2)+5=21 \\ \\ x=2 \implies y=-8(2)+5=-11 \\ \\ x=4 \implies y=-8(4)+5=-27[/tex]

Answer:

The area of the irregular shape is 268.8.

Step-by-step explanation:

To find the area of an irregular shape, we first have to break it into common shapes, here, in this case, we will break it into a rectangle with sides 14 and 8 and a triangle with a base length equal to 14 and the opposite angle to the base is equal to 32°.

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