Which of the following rational functions is graphed below?

The Scientific notation of given numbers are  [tex]3400=3.4 \times 10^{-3}[/tex], [tex]0.000023=2.3 \times 10^{5}[/tex], 4.50, [tex]1,000,000=1 \times 10^{6}[/tex] and [tex]0.00671=6.71 \times 10^{-3}[/tex].

The given numbers are 3400, 0.000023, 4.50, 1,000,000 and 0.00671.

Scientific notation is a way of expressing numbers that are too large or too small to be conveniently written in decimal form.

Now, [tex]3400=3.4 \times 10^{-3}[/tex], [tex]0.000023=2.3 \times 10^{5}[/tex], 4.50, [tex]1,000,000=1 \times 10^{6}[/tex] and [tex]0.00671=6.71 \times 10^{-3}[/tex].

Therefore, the Scientific notation of given numbers are  [tex]3400=3.4 \times 10^{-3}[/tex], [tex]0.000023=2.3 \times 10^{5}[/tex], 4.50, [tex]1,000,000=1 \times 10^{6}[/tex] and [tex]0.00671=6.71 \times 10^{-3}[/tex].

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To find the highest common factor (HCF) between two numbers , first to take HCF of both the numbers.

[tex] \purple {\Large\begin{array}{r | l}2&\underline{12}\\3& \underline{6}\\2&\underline{2}\\&\underline{1}\\\end{array}} \: \: \: \: \: \: \: \: \: \: \: \: \purple {\Large\begin{array}{r | l}2&\underline{40}\\2& \underline{20}\\5&\underline{10}\\2&\underline{2} \ \\ &\underline{1}\\\end{array}}[/tex]

[tex] \red {\large \implies} \large \: 12 \: = \: 2 \: \times \: 3 \: \times \: 2 \: \: \: \: \: \: \: \: \: \: \\ \\ \red {\large \implies} \large \:40 \: = \: 2 \: \times \: 2 \: \times \: 5 \: \times \: 2 \: [/tex]

[tex] \rm\orange {\large \implies} \large \:Common \: factors \: = \: 2 \: \times \: 2[/tex]

[tex]\rm\orange {\large \implies} \large \:HCF = 4[/tex]

Answer:

Part A:

A pair of linear equations can only have one solution or infinitely many solutions. In this case, there would only be one solution as they intersection at only one point.

Part B:

The solution would be (3, 4) because it is the point of intersection between the two linear lines.

Answer:

534

Step-by-step explanation:

The solution is in the image

OC represents vector a and b drawn using the head-to-tail method.

A vector is an object that has both magnitude and direction.

The given vectors are

a =<5, −1> and b =<2,−2>

Representing vector a +b using the head and tail method

Here in the image attached with the answer ,

The vector a is represented by OA and the vector b is represented by OB

By head and tail method , the OC is drawn by extending the vector a towards b and b towards a

Vector OC = Vector OA + Vector OB

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Answer:

25 percent chance or 13/52 for drawing a diamond and 4/52 for a queen

Step-by-step explanation:

There are 13 diamonds in a stack of 52 cards, hence 13/52 or 25 percent chance of drawing a diamond.

Since there are only 4 queens in a stack of 52 cards, so 4 out of 52 cards are queens

Answer:

Step-by-step explanation:

Answer:

Answer:

With monthly compounding, the bank will calculate interest on your account just once per month. It will not update your balance on a daily basis when it calculates how much interest it owes you. Assuming that the APR is the same, accounts with monthly compounding offer a lower APY than accounts with daily compounding.

Answer: [tex]x(x-6)=0[/tex]

Answer:

6.4

Step-by-step explanation:

It's stated that the shapes are similar.

We can use similarity ratio to find the value of x:

LM/CD = KL/BA

x/4 = (11.2)/7 cross multiply expressions

7x = 44.8 divide both sides by 7

x = 6.4

Answer:

-15

Step-by-step explanation:

-13-2= -15

(to check:2+ -15= -13)

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{2 + [blank] = -13}[/tex]

[tex]\large\textbf{CONVERT TO: }[/tex]

[tex]\mathsf{2 + b = -13}[/tex]

[tex]\mathsf{b + 2 = -13}[/tex]

[tex]\large\textbf{SUBTRACT 2 to BOTH SIDES: }[/tex]

[tex]\mathsf{b + 2 - 2 = -13 - 2}[/tex]

[tex]\large\textbf{SIMPLIFY IT!}[/tex]

[tex]\mathsf{b = -13 - 2}[/tex]

[tex]\mathsf{b = -15}[/tex]

[tex]\huge\text{Therefore, the mystery number is: \boxed{\mathsf{-15}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

Answer:

the answer is b.40 that the kids that are working and have phone b

Answer:

The value of [tex]x_{2}[/tex] from inverse variation is (-35).

Step-by-step explanation:

Inverse variation is the relationships between variables that are represented in the form of y = k/x, where x and y are two variables and k is the constant value. It states if the value of one quantity increases, then the value of the other quantity decreases. While direct variation describes a linear relationship between two variables, inverse variation describes another kind of relationship.

An inverse variation can be represented by the equation

xy=k .

That is y varies inversely as x if there is some nonzero constant k.

Here, the product is given by :

x1y1=x2y2

21 x (-15)=x2 x 9

(-315) / 9 = x2

x2=(-35)

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Answer:

in a rectangle, opposite sides are equal in length

Step-by-step explanation:

now in this question, Pythagoras theorem is being used to find the length

we know both sides by using Pythagoras theorem find third side and get the sum to find ac+bd

Step-by-step explanation:

So it tells you that AB = 21 and AD = 28
and you to find what BD + AC is and since BD is the same length as AC
you only need to find one of them, then double it
There is a formula you use called the Pythagorean theorem
The Pythagorean theorem is A²+B²=C²  
In this problem A = 21    B = 28  and C = the length of BD
so it'll look like  21²+28²=Length of BD²  or BD²=21²+28²  now you find BD
first do 21²+28² --> 441+784 --> 1225   Now you know that 21²+28²=1225
so BD²=1225  Then to find BD, you find √1225(square root of 1225)
Which is 35     So BD=35 and you want to know what BD+AC is
so 35+35=70        

The options that are true of the triangles include:

The complete question is given below:-

ΔXYZ was reflected over a vertical line, then dilated by a scale factor of One-half, resulting in ΔX'Y'Z'. Which must be true of the two triangles? Select three options.

The process of changing the location of the image on the coordinate system will be known as the translation.

It should be noted that triangle XYZ is reflected over a vertical line. Then, it's dilated by 1/2 to form XYZ.

This implies that the triangles are similar, the angles are congruent and the side length of XYZ is twice that of X'Z.

Therefore the options that are true of the triangles include:

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Answer:

[tex]\frac{8}{9}[/tex]

Step-by-step explanation:

we require 2 equations with the repeating digits placed after the decimal point.

let x = 0.888.. (1) ← multiply both sides by 10

10x = 8.888.. (2)

subtract (1) from (2) thus eliminating the repeating digits

9x = 8 ( divide both sides by 9 )

x = [tex]\frac{8}{9}[/tex]

Step-by-step explanation:

[tex] - \frac{3}{4} x + 2 \frac{1}{4 } = \frac{1}{2} x + 1[/tex]

[tex] - \frac{3}{4} x + \frac{9}{4} = \frac{1}{2} x + \frac{2}{2} [/tex]

[tex] \frac{ - 3x + 9}{4} = \frac{2x + 4}{4} [/tex]

[tex] - 3x + 9 = 2x + 4[/tex]

[tex] - 3x - 2x = 4 - 9[/tex]

[tex] - 5x = - 5[/tex]

[tex]x = \frac{ - 5}{ - 5} [/tex]

[tex]x = 1[/tex]

The answer is C.

value of a = 3

value of b = 2

a + b = 3 + 2 = 5 .

Answer:

B

Step-by-step explanation:

let me know if you want an explanation :))

The line that passes through (-2, 1) and (8, 2) is:

y = (1/10)*x + 12/10

I assume you want to find the equation of the line that passes through (-2, 1) and (8, 2).

A general linear equation is written as:

y = a*x + b

If the line passes through two points (x₁, y₁) and (x₂, y₂), then the slope can be written as:

[tex]a = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

In this case, we know that it passes through (-2, 1) and (8, 2), then:

[tex]a = \frac{2 - 1}{8 - (-2)} = 1/10[/tex]

Then the line is:

y = (1/10)*x + b

To find the value of b, we use one of the given points, for example if we use (8, 2), it means that when x = 8, we must have y = 2.

2 = (1/10)*8 + b

2 - 8/10  = b

20/10 - 8/10 = b

12/10 = b

Then the linear equation is:

y = (1/10)*x + 12/10

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By applying concepts related to matrices and their dimensions, the element of the matrix that belongs to the 2nd row and 3rd column is 6.

Matrices are constructions studied by linear algebra, are a particular case of tensors. This kind of constructions are characterized by two dimensions: (i) Number of rows - Horizontal rows, (ii) Number of columns - Vertical rows.

Each element of an matrix A has an associated index with the following form:

[tex]a_{i,j}[/tex]

Whose meaning is "element of the matrix A that belongs to the i-th row and j-th column".

In this case, we find that the element of the matrix that belongs to the 2nd row and 3rd column is 6.

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Answer:

In a Euclidean space of any number of dimensions, a plane is uniquely determined by any of the following: Three non-collinear points (points not on a single line). A line and a point not on that line. Two distinct but intersecting lines.

Step-by-step explanation:

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Answer:

1

Step-by-step explanation:

The value of the output given by the inverse for a given input is the same as the input of the original function that results in the output equal to the given input.

So, 2x + 2 = 4, meaning the answer is 1

Answer:

[tex] \sqrt{120} [/tex]

Step-by-step explanation:

√120 is irrational.

Answer:

has no x^2 term

Step-by-step explanation:

Has no x^2 term   <====== that would make it an exponential function, not linear

Answer:

xhdvuvzxvzvkkzv jzh jhj,

Step-by-step explanation:

Using it's concept, it is found that the probabilities are given as follows:

a) 0.0527 = 5.27%.

b) 0.0088 = 0.88%.

c) 0.0098 = 0.98%.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

Item a:

6 out of 16 songs are of the Beatles, hence the probability of a single music being from the Beatles is:

[tex]pB = \frac{6}{16} = \frac{3}{8}[/tex]

Of three musics, the probability is:

[tex]p = \left(\frac{3}{8}\right)^3 = 0.0527[/tex]

Item b:

For the Rolling stones, the probability is:

[tex]pR = \frac{4}{16} = \frac{1}{4}[/tex]

For the four musics, the probability is:

[tex]p = \left(\frac{1}{4}\right)^2 \times \left(\frac{3}{8}\right)^2 = 0.0088[/tex]

Item c:

For the doors, the probability is:

[tex]pD = \frac{2}{16} = \frac{1}{8}[/tex].

For Beatles or Rolling stones, the probability is:

[tex]pBR = \frac{10}{16} = \frac{5}{8}[/tex]

For the three musics, the probability is:

[tex]p = \left(\frac{1}{8}\right)^2 \times \frac{5}{8} = 0.0098[/tex]

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Answer:

7(2a+6) = 4

and the answer is:

19/7

Step-by-step explanation:

7(2a+6) = 4

7*2a + 7*6 = 4

14a + 42 = 4

14a = 4 - 42

14a = -38

a = -38/14

a = -19/7

Answer:

-¾

Step-by-step explanation:

gradient = delta y over delta x

gradient = 0 - 3 / 5 - 1

gradient = -3 / 4