3x*2 -10x +7/ x +4 which of the following shows the division problem in synthetic division form?

A bijective function is a function that is both one-to-one and onto, meaning that it assigns a unique output to each input, and every output in the codomain is assigned by some input in the domain.

If A has N elements and B has M elements, and we want to find the number of possible bijective functions from A to B, we can use the following formula:

Number of bijective functions = (Number of functions from A to B) / (Number of one-to-one functions from A to B)

The number of functions from A to B is given by the number of ways to assign each element of set A to set B, which is [tex]M^N[/tex].

The number of one-to-one functions from A to B is given by the number of ways to assign a unique element from set B to set A, which is[tex]M!/(M-N)![/tex]

So, the number of bijective functions is:

[tex]M^N[/tex] / (M!)/(M-N)!

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On solving the provided question, we can say that The product of a rational number and an irrational number is an irrational number = >  is always irrational

Any number that can be expressed as a ratio (or fraction) of two integers is said to be rational. A rational number is a fraction that has a nonzero denominator. 1/2, 1/5, and 3/4 are examples of rational numbers. Additionally a rational number, "0" may be expressed in a variety of ways, including 0/1, 0/2, and 0/3.

the answer of data from figure are -

The product of a rational number and an irrational number is an irrational number = >  is always irrational, [tex]2 * \sqrt{2} = 2\sqrt{2}[/tex] is a irrational

the sum of a rational and an irrational is a rational number. => is always irrational [tex]2 + \sqrt{2} = (2+\sqrt{2})[/tex] is a irrational

The product of two irrational numbers is an irrational number. = >  is always rational[tex]\sqrt{2}*\sqrt{2} = 2[/tex] is rational

The difference of a rational and a rational number is a rational number. =>  is always irrational  [tex]3-\sqrt{2} = ( 3 - \sqrt{2} )[/tex] is a irrational

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Answer:

Dilation of 2

Step-by-step explanation:

Note that [tex]SR=2[/tex] and [tex]S'R'=4[/tex].

The scale factor is defined as the ratio of the length of the side of the image to the length of the corresponding side of the preimage.

So, the scale factor is [tex]\frac{4}{2}=2[/tex].

Answer:

Fibonacci sequence

Step-by-step explanation:

A sequence where a term in the sequence is the sum of the 2 previous terms , is a Fibonacci sequence , that is

1 + 1 = 2

2 + 1 = 3

3 + 2 = 5

5 + 3 = 8

So on solving the provided question we cans ay that function f(3) is f(x) = -5 so x = 3

The subject of mathematics includes quantities and their variations, equations and related structures, shapes and their locations, and places where they can be found. The term "function" refers to the relationship between a set of inputs, each of which has an associated output. A connection between inputs and outputs in which each input leads to a single, distinct result is known as a function. Each function is given a domain and a codomain, or scope. Usually, f is used to denote functions (x). input is an x. There are four main types of functions accessible. based on the following factors: on functions, one-to-one functions, many-to-one functions, inside functions, and on functions.

here, we have

f(3) is f(x) = -5

so x = 3

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Place value blocks should be exchanged as

30 tenths and 18 hundredths for modeling 3.18/6 .

Place value can be defined as the value represented by a digit in a number on the basis of its position in the number. For example, the place value of 7 in 3,743 is 7 hundreds or 700. However, the place value of 7 in 7,432 is 7 thousands or 7,000.

Given,

Number to model = 3.18/6 = 0.53

The number is 3 wholes 1 tenths and 8 hundredths.

To divide it into 6 equal shares she has to exchange place value blocks as

30 tenths and 18 hundredths

Making its equal shares

30/6 tenths and 18/6 hundredths

5 tenths and 3 hundredths

Hence, 30 tenths and 18 hundredths is the way to exchange place value blocks for modeling 3.18/6.

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Sidney should buy 3 1-quart jugs of cider.

What is mean by pint?

The pint is a liquid amount that is equal to one eighth of a gallon and it is also equal to one half of a quart.

Sidney wants to drink a pint of cider. She also wants to bring a pint of cider to each of her 5 friends.

So, she needs total 6 pints of cider.

As per standard metric unit, 1 liquid pint = 0.5 liquid quart

                                    6 liquid pints = (6 × 0.5) liquid quart = 3 quarts

So, Sidney should by 3 quarts of apple Cider that means 3 amounts of 1 -quart jugs of cider.

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The term "inequality" refers to a relationship between two expressions or values that is not equal to one another.

Inequality is the relationship between two expressions or values that are not equal to one another.

The five inequality symbols used in mathematics are greater than symbol (>), less than symbol (), greater than or equal to symbol (), less than or equal to symbol (), and not equal to symbol ().

Use the steps below to resolve an inequality: Step 1: Remove all fractions by multiplying every phrase by the fractions' lowest common denominator. Step 2 Consolidate like terms on both sides of the inequality to simplify. Step 3: Add or subtract amounts to get the unknown on one side and the numbers on the other.

Therefore, the answer is   [tex]$u \in(-\infty, 19)$[/tex].

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If a metalworker has a metal alloy that is 30​% copper and another alloy that is 60​% copper. The amount of  kilograms of each alloy is:  20kg of 30% copper alloy must be combined with 30kg of 60% copper alloy to obtain 50 kg of 48% copper alloy.

Let a be the amount of 30% copper alloy and b be the amount of 60% copper alloys. The combined alloys must be 50 kilograms.

a + b = 50 kg

The total copper in the mixture:

0.30a + 0.60b = 0.48(50)

Substitute by making use of the first equation

0.30(50-b) + 0.60b = 24

15 -0.30b + 0.60b =24

0.30b= 9

Divide both side by 0.30b

b = 9/0.30

b = 30

The amount of 30% copper alloy needed is:

a= 50-b

a = 50 -30

a = 20

Therefore 20 kg of 30% copper alloy must be combined with 30 kg of 60% copper alloy to obtain 50 kg of 48% copper alloy.

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Answer: We know that Tonia eats 2 meals each day, breakfast and dinner. We also know that the total calories for each breakfast are 500.

If Tonia ate breakfast for 5 days, the total calories for breakfast would be 500 x 5 = 2500 calories.

We know that the total calories she ate for 5 days was 9000 and the number of calories for breakfast is 2500.

The number of calories for dinner over 5 days is 9000 - 2500 = 6500 calories.

To find the average number of calories Tonia consumed for dinner each day over the 5 days, we need to divide the total number of calories for dinner by the number of days:

average number of calories = 6500 / 5 = 1300 calories per day.

So Tonia consumed an average of 1300 calories per day for dinner over the 5 days.

Step-by-step explanation:

The distance between these two points is √53 units.

A triangle is a three-sided polygon that consists of three edges and three vertices.

The two points of a triangle are (−3,−6) and (4,−8)

The length along a line or line segment between two points on the line or line segment.

Distance=√(x₂-x₁)²+(y₂-y₁)²

=√(4+3)²+(-8+6)²

=√7²+2²

=√49+4=√53

So the distance between these two points is √53 units

Hence, the distance between these two points is √53 units.

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The Poisson law states that the probability of at least 2 different changes daily is 0.0263. Thus, 0.0263% of changes happen twice or more each day.

The mathematical method it explains for calculating probability calculates all the probabilities of something occurring in the setting of specific random events. A probability's proximity to the unit value and, conversely, its distance from zero can make one less comfortable in the outcome. The confidence level is based on how close the probability value is, which is calculated using a range from 0 and 1

Here,

The conditional probability function for X is the amount of times the incident occurs over a specific period of time.

In this experiment, the frequency, or x, at which an event occurs is counted.

The likelihood of the event happening throughout each period is equal.

The number of events in one period is independent of the number in other intervals.

The first step is to set the discrete stochastic process X to the number of website content updates.

Let's say that there are on average x content changes every day.

The Poisson distribution law states that the probability of at least 2 changes each day is 0.0263.

0.0263% of changes occuring twice or more as a result per day.

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The equation Y=3/4x+3/2 is a slope intercept form equation for line AB.

An equation is a mathematical statement that two expressions are equal. It consists of two expressions separated by an equals sign and can contain numbers, variables, and operators. Equations are used to solve problems, make predictions, and describe relationships between different quantities. Equations can also be used to represent physical laws and other phenomena.

This equation is written in the form y=mx+b, where m is the slope of the line and b is the y-intercept of the line. In this equation,

the slope m is equal to 3/4 and the y-intercept b is equal to 3/2. The slope of the line AB is 3/4, so the line has a positive slope, and the y-intercept of the line AB is 3/2.

This equation can be used to find the coordinates of any point on the line AB, as well as the equation of the line itself.

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Answer:94

Step-by-step explanation:

English is not my first language, so I don't know if you understand what I meant in the explanation.

Answer:

.35

Step-by-step explanation:

Experimentally   7 hearts were drawn with 20 tries

7/20 = .35

Answer: A: 0.13

Step-by-step explanation:

The coordinate of point A(2,1) after dilation of 2 will be (4,2).

Resizing an item uses a transition called dilation. Dilation is used to enlarge or contract the items. The result of this transformation is an image with the same shape as the original. However, there is a variation in the shape's size.

A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis. A coordinate system in geometry is a method for determining the positions of the points by using one or more numbers or coordinates.

Given that Point A has coordinates A(2,1). The dilation of the point will be calculated as,

A(2,1) = A' ( 2 x 2, 2 x 1 ) = A'( 4,2)

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An ordered pair is a set of two values, (x,y), that represents a point on a coordinate plane. To solve an ordered pair means to find the coordinates (x,y) of a point on a coordinate plane.

To solve two ordered pairs, you would need to know the coordinates of both points, and then you can graph them on a coordinate plane to visualize the relationship between the two points.

For example, if you have the ordered pairs (2,3) and (4,5), you can graph them on a coordinate plane with the x-axis and y-axis, where x represents the horizontal position and y represents the vertical position. The point (2,3) would be located at 2 on the x-axis and 3 on the y-axis, and the point (4,5) would be located at 4 on the x-axis and 5 on the y-axis.

Once you have plotted the points on a coordinate plane, you can use them to make a conclusion about the relationship between the two points, for example if they are in the same line, if the distance between them, if they form a slope, etc.

The end behavior will be as x approaches infinity, and negative infinity, f(x) approaches infinity.

Function is a type of relation, or rule, that maps one input to specific single output.

The function f(x) is defined as:

→ f(x)= 80x* 2 + 640 - 400x - 52

We need the degree and the leading coefficient to determine the behavior.

Since our leading coefficients has a leading even degree of 5, and a positive number,

The function will Rises to the left and falls to the right.

The end behavior will be as x approaches infinity, and negative infinity, f(x) approaches infinity.

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Answer:

provide the table please

904 is a composite number.

Prime factorization: 904 = 2 × 2 × 2 × 113, which can be written 904 = 2³ × 113.

What is a factor in math?

A factor is a number that divides another number, leaving no remainder. In other words, if multiplying two whole numbers gives us a product, then the numbers we are multiplying are factors of the product because they are divisible by the product

The exponents in the prime factorization are 3 and 1. ...

Factors of 904: 1, 2, 4, 8, 113, 226, 452, 904.

Factor pairs: 904 = 1 × 904, 2 × 452, 4 × 226, or 8 × 113.

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Answer:

2 < x < 12

Step-by-step explanation:

given 2 sides of a triangle then the third side x is in the interval

difference of 2 sides < x < sum of 2 sides , that is

7 - 5 < x < 7 + 5

2 < x < 12

third side could be 3, 4, 5, 6, 7, 8, 9, 10, 11

The area of the right triangle with base 5 cm and altitude 4 cm will be 10 cm².

The area of right triangle is calculated using the formula -

Area = 1/2 × b × h. In the formula, the b is base of triangle and h is height of triangle.

Keep the values in formula to find the area of the right triangle.

Area = 1/2 × 5 × 4

Performing division on Right Hand Side of the equation

Area = 5 × 2

Performing division on Right Hand Side of the equation

Area = 10 cm²

Therefore, the area of right hand triangle will be 10 cm².

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Answer:

the answer is A

Step-by-step explanation:

did it not the long ago

m = 5/4 is the solution to the equation

An indices equation is an equation that relates the indices of two or more variables or functions in a mathematical expression. The indices are the exponents of the variables or functions, and the equation states the relationship between them.

The equation can be simplified as follows:

[tex]\frac{1}{\sqrt{8} } = 4^{m-2}[/tex]

[tex]\frac{1}{8^{\frac{1}{2} } } = 4^{m-2}[/tex]

[tex]8^{-\frac{1}{2} } = 4^{m-2}[/tex]

[tex](2^{3})^{-\frac{1}{2} } = 2^2^{(m-2)}[/tex]

[tex]2^{-\frac{3}{2} } = 2^2^{(m-2)}[/tex]

Equate the powers or exponents:

-3/2 = 2(m-2)

-3/2 = 2m - 4

2m = -3/2 + 4

2m =5/2

m = 5/4

The solution to the equation is m = 5/4

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410.3005

thats the answer but i need to add more characters ignore this

The five algebraic properties of equality are: Reflexive, Symmetric, Transitive, Addition, and Multiplication properties

These properties are the foundation of algebraic manipulation and are used to solve equations and simplify expressions.

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Let the question be,

A group of friends raised money for a charity by selling 11 packs of cookies. They sold a total of 546 cookies. How many 11-packs of cookies did they sell?

The act of charity is the selfless, voluntary assistance provided to those in need as a humanitarian act. There are several charitable ideologies, many of which are religious in nature.

In this problem, we can find the number of 11-packs of cookies by dividing the total number of cookies by the number of cookies in each pack.

We know that:

The number of 11 cookies pack can be determined by:

546 cookies / 11 cookies/pack = 49.63636...

So the number of packs of cookies is 49. This means that 49 is the number that has 11 as a factor.

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a) The probability that the randomly chosen injury took place on a Thursday would be 0.17.

b) The probability that the injury took place on a weekday (Monday through Friday) would be 0.84.

c) The probability that it took place on a Monday would be 21.4%.

What is the probability?

Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 indicates that an event is impossible, and 1 indicates that an event is certain.

(a) To find the probability that the injury took place on a Thursday, we need to find the value of x in the probability table:

Day: Sunday Monday Tuesday Wednesday

Probability: 0.06 0.18 0.17 0.17

Day: Thursday Friday Saturday

Probability: x 0.15 0.09

The sum of the probabilities for each day must equal 1. So we can set up an equation to find x:

0.06 + 0.18 + 0.17 + 0.17 + x + 0.15 + 0.09 = 1

0.83 + x = 1

x = 0.17

The probability that the injury took place on a Thursday is 0.17.

(b) To find the probability that the injury took place on a weekday (Monday through Friday), we sum the probabilities for Monday, Tuesday, Wednesday, Thursday, and Friday:

0.18 + 0.17 + 0.17 + 0.17 + 0.15 = 0.84

The probability that the injury took place on a weekday is 0.84.

(c) Given that an injury took place on a weekday, we can use Bayes' Theorem to find the probability that it took place on a Monday. Let A be the event that the injury took place on a weekday, and B be the event that the injury took place on a Monday. Then:

P(B|A) = P(B and A) / P(A)

P(B and A) = P(B) = 0.18

P(A) = 0.84 (from (b))

So:

P(B|A) = 0.18 / 0.84 = 0.214 or 21.4%

The probability that the injury took place on a Monday, given that it took place on a weekday, is 21.4%.

Hence,

a) The probability that the randomly chosen injury took place on a Thursday would be 0.17.

b) The probability that the injury took place on a weekday (Monday through Friday) would be 0.84.

c) The probability that it took place on a Monday would be 21.4%.

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The Values of missing angles are shown below.

Angle sum property of triangle states that the sum of interior angles of a triangle is 180°.

6. Using Angle sum property

<1 + 72 + 57 = 180

<1 = 51

Now, <2 +72 = 90

<2 = 18

<and, <3+ 57 = 180 (linear pair)

<3 = 123

Now, <4 = 180- 123- 18

<4 = 39

7. <1 = 180- 129 = 51 (linear pair)

<2 = 180- 51 - 95 = 34 (Angle sum property)

<3 = 95 (Vertical opposite angle)

<4= 180- 47 - 95 = 38

<5 = 47  (Vertical opposite angle)

<7= 180-121= 59

<6= 180-59-47= 74

8. Using Angle sum property

13x+ 2 + 5x - 7 + 3x -4 = 180

21x -9 = 180

21x = 189

x= 9

So, angles are 13x+2 = 119, 5x-7 = 38 and 3x-4 = 23

9. Using Exterior Angle property

19x- 18 = 7x+1 + 10x- 9

19x - 18 = 17x  - 8

2x = 10

x= 5

So, angles are 19x-18 = 77, 7x+1 = 36 and 10x-9 = 41

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