Choose the graph that depicts one-to-one function

Answer:Stretch by a factor of 3, shift 3 units left, and down 5 units. Shift 9 unit up .Stretch by a factor of 3, shift 3 units left, and down 5 units. Shift 9 unit up .Stretch by a factor of 3, shift 3 units left, and down 5 units. Shift 9 unit up .Stretch by a factor of 3, shift 3 units left, and down 5 units. Shift 9 unit up .Stretch by a factor of 3, shift 3 units left, and down 5 units. Shift 9 unit up .Stretch by a factor of 3, shift 3 units left, and down 5 units. Shift 9 unit up .

Step-by-step explanation:

The equation of the modified graph is y = (x + 6)^2

The equation of the graph is given as

y = x^2

The graph is shifted to the left by 6 units

This is represented as:

(x, y) = (x + 6, y)

So, we have

y = (x + 6)^2

Hence, the equation of the modified graph is y = (x + 6)^2

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Answer: The symbol ∈ indicates set membership and means “is an element of” so that the statement k∈R means that k is an element of the set R. In other words, k is one of the objects in the collection of (possibly many) objects in the set R.

Answer: Yes

Step-by-step explanation: can be written as 6 17/50

Answer: yes because its a terminating number

Answer:

1/2

Step-by-step explanation:

0.5 is half of 1 so 1/2 is 0.5 as a fraction

The perimeter of the figure is 53.7.

Perimeter can be defined as the total distance around a object.

To calculate the perimeter of the the figure below, we use the formula below.

Formula:

From the diagram,

Given:

Substitute these values into equation 1

Hence, the perimeter of the figure is 53.7

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Answer:

50

Step-by-step explanation:

2(9)+10

3(9)-5

18+10=28

27-5 =22

28+22=50

Answer:

Q=-8

Step-by-step explanation:

Q-2-6

The manufacturing company has decided to be carbon free by 2030. so, it can reduce its pollution rate by using environmentally friendly equipment to achieve this goal.

Pollution:

The term pollution refers any substance that negatively impacts the environment or organisms that live within the affected environment.

Given,

A manufacturing company has decided to be carbon free by 2030.

Here we need to find the solution to achieve this goal.

To achieve this goal the company can take many measures this includes,

To completely switching to alternative sources of energy. The company can reduce its pollution rate by using environmentally friendly equipment.

By making maximum use of renewable energy in the company, in which energy can be emitted using solar energy, windmill etc.

And by planting more and more trees, the amount of oxygen in our environment should be increased.

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Answer:

Step-by-step explanation:

Answer:/

Step-by-step explanation:

I will use the example that they gave to describe the method

First, you need to find the difference between the new amount and the original amount. The new one is 30, while the original one is 24, so the original amount incrased by 6.

Now, you take the difference that you got, and divide it by the original amount. 6 : 24 = 1/4, or 25%. So, the percentage increase is 25%

Applying the same for the others :

32 -> 56 (increased by 24, 24:32 = 3/4 -> 75%)
15  -> 18  (increased by 3, 3:15 = 1/5 -> 20%)
30 -> 33 (increased by 3, 3:30 = 1/10 -> 10%)
150 -> 153 (increased by 3, 3:150 = 1/50 -> 2%)
120 -> 126 (increased by 6, 6:120 = 1/20 -> 5%)
200 -> 202 (increased by 2, 2:200 = 1/100 -> 1%)

Using translation concepts, we have that:

a) The parent function is f(x) = |x|.

b) The transformations were a reflection over the x-axis, vertical stretch by a factor of 2 and a shift down of 3 units.

c) The graph is given at the end of the answer.

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.

For this problem, the parent function is given by:

f(x) = |x|.

The transformations are given as follows:

The graph of the two functions, the parent(red) and the translated(blue), is given at the end of the answer.

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Answer: 10440165 ==> sum of sequence

Step-by-step explanation:

4569+1=4570

4570/2=2285==> Average number in the sequence

4569-1+1=4569 numbers in the sequence. I find the number of numbers in the sequence by subtracting the last number in the sequence by the first number in the sequence (4569-1) and adding 1 to the difference.

2285*4569=10440165 ==> sum of sequence

Number of At-the-Door tickets Anna needs to sell to make her goal = 100

Anna is selling pre-sale and at-the-door tickets.

Let 'x' be the number of pre-sale tickets and 'y' be the number of at-the-door tickets.

Price of a pre-sale ticket = $10

Price of an at-the-door ticket = $20

Total price to be raised = $5000

So the equation corresponding is 10x+20y = 5000-----------(1)

Total number of people the venue can hold = 400

Thus the next equation is x+ y = 400---------(2)

From the graph the line with points (0,250) and (500,0) represent the equation (1) since 10 x 0 + 20 x 250 = 5000 and 10 x 500 + 20 x 0 = 5000.

The line with points (0,400) and (400,0) represent the equation (2) as 0+400 = 400 and 400+0 = 400.

So to find x and y we need to solve equations (1) and (2).

10 x (2) ⇒ 10x+10y = 4000-------(3)

Now subtract (3) from (1)

⇒ 10y = 1000

⇒ y = 100

Hence the number of At-the-Door tickets Anna needs to sell to make her goal = 100

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The correct option is C. Quantitative Continuous

The type of variable would their response be considered is Quantitative Continuous Variable.

Quantitative variables describe some aspect of the individual and are frequently measured (for example, body mass is evaluated with a scale) or counted (for example, the number of needle punctures necessary to receive the biopsy specimen has been counted).

A quantitative variable could be discrete or continuous. A continuous variable can theoretically take on any value under an interval.

Some key features regarding the Quantitative Continuous Variable are-

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The complete question is-

The following five questions are focused around a startup company. Management is trying to gain insight on current employees and have sent out a short anonymous survey to them. Read each prompt carefully and determine the variable type for each question.

Employees were asked to report their typical daily commute time, in minutes. What type of variable would their response be considered?

A. Categorical Nominal

B. Categorical Ordinal

C. Quantitative Continuous

D. Quantitative Discrete

The length of the given rectangle is 4ft more than twice the width. The perimeter of the particular rectangle is 26ft. Length and width of the rectangle is [tex]10ft[/tex] and [tex]3ft[/tex]

As per the question statement, The length of the given rectangle is 4ft more than twice the width. The perimeter of the particular rectangle is 26ft.

We are supposed to find out dimensions of the rectangle.

Let length of the rectangle = l

Width of the rectangle = w

[tex]l = 4 + 2w[/tex]

Perimeter of rectangle = [tex]2(l+w)[/tex]

Above mentioned are the given conditions in the linear equation form.

Perimeter of rectangle = [tex]2(l+w)[/tex] = 26 ft.

[tex]l+w = \frac{26}{2}[/tex]

[tex]l+w =13[/tex]

substituting [tex]l = 4 + 2w[/tex]

[tex]4+2w+w=13\\4+3w=13\\3w=13-4=9\\w=\frac{9}{3}[/tex]

[tex]w=3[/tex]

Hence width is 3ft.

Now length,  [tex]l = 4 + 2w[/tex]

[tex]l=4+2*3\\l=4+6\\l=10[/tex]

And length is 10ft.

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3(x - 2) < 18 and h + 6 > -3h + 12 would be graphed with an open circle.

Open circle is a term used for numbers that are less than (<) or greater than (>). On the other hand, Closed circle is used for numbers that are less than or equal to (≤ ) and greater than or equal to (≥).

Here, we are given four inequalities, let us check them one by one-

A. h + 6 > -3h + 12

⇒ 4h > 6

or h > 3/2

Here, we see that there is no equality sign, this means that 3/2 won't be included and hence h + 6 > -3h + 12 would be an open circle inequality.

B. 7 ≥ d/3

⇒ d ≤ 21

Here, we can clearly see the equality sign which means that 21 will be included. Hence, 7 ≥ d/3 would not be graphed with an open circle.

C. 3(x - 2) < 18

x - 2 < 6

x < 8

Here, we see that there is no equality sign, this means that 8 won't be included and hence 3(x - 2) < 18 would be graphed with an open circle.

D. 2y ≤ 14

y ≤ 7

Here, we can clearly see the equality sign which means that 7 will be included. Hence, 2y ≤ 14 would not be graphed with an open circle.

Thus, 3(x - 2) < 18 and h + 6 > -3h + 12 would be graphed with an open circle.

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Answer: 6y^3 +4x

Step-by-step explanation:

collect like terms

2x + x + x + 2y * 3y *y

so

6y^3 +4x

Answer:

Step-by-step explanation:

2x + x + x + 2y  ( 3 )yy

2x + x + x + 6y 3

2x  +  x  +  x  +  6y3

( 6y3 ) + ( 2x + x + x)

6y3  +  4x

Answer:

Firstly, you need to divide by 36! That'll tells you how many yards there are. Then, divide the remainder by 12! That'll tells you how many feet are there. The final remainder tells you the number of inches!

Answer:

b

Step-by-step explanation:

The required probability that they differ in length by more than 10 cm is 1.

Given that,
A hardware store sells planks of wood. the lengths, in centimeters, of the planks are normally distributed with a mean of 210 and a standard deviation of 7. two planks are selected at random. find the probability that they differ in length by more than 10 cm is to be determined.

Probability can be defined as the ratio of favorable outcomes to the total number of events.

Here,

The
P(x > 10) = p(z = (x - μ)/σ)
P(x > 10) = p(z = (10 - 210)/7)
P(x > 10) = p(z = -28.57143)
P(x > 10) = 1

Thus, the required probability that they differ in length by more than 10 cm is 1.

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Answer:2 beacuse if u divide 4 by 2 and 6 by 2 u get 2/3

Step-by-step explanation:

Error control, flow control, segmentation and reassembly, multiplexing, and connection setup are five tasks that a layer can perform.

Flow control: It is the efficient management of data flow between two or more devices like computers or nodes of a network.

Error control: The identification and correction of errors that occur during the transmission of data is called error control.

Segmentation and reassembly: Data to be transmitted is divided into small parts or chunks for convenience. This process is called segmentation. The combining of these chunks to reform the original data is called reassembling.

Multiplexing: The process of combination of digital data streams in one signal over a shared medium is known as multiplexing.

Connection setup: Establishing a connection between two devices that are connected to the same network is called connection setup.

All these tasks can be duplicated at different layers.

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Fixed-Width is data format does each column start and end at the same place in every row.

What do statisticians mean by nominal data?

Nominal data have a quality?

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Answer:

1.5

2.1/5

Step-by-step explanation:

Answer: x=0.5, y=1

Step-by-step explanation:

-4x+3y=1

6x-y=2

6x-2=y

-4x+3(6x-2)=1

-4x+18x-6=1

-4x+18x=7

14x=7

x=0.5

6x-y=2

6(0.5)-y=2

3-y=2

y=1

Let's change the equation,

→ 6x - y = 2

→ y = 6x - 2

Then the value of x will be,

→ -4x + 3y = 1

→ -4x + 3(6x - 2) = 1

→ -4x + 18x - 6 = 1

→ 14x = 1 + 6

→ x = 7/14

→ [ x = 1/2 ]

Hence, the value of x is 1/2 (or) 0.5.

Now the value of y will be,

→ y = 6x - 2

→ y = 6(1/2) - 2

→ y = 3 - 2

→ [ y = 1 ]

Hence, the value of y is 1.

Answer:

6 Hours = 0.0357 Weeks

Rounding off o nearest hundredth we get
=> 0.36

All done!

Answer:

1) 60 miles per hour (60.00, if rounded)

2) 152 customers per day (150, if rounded)

3) 3.5 meters per second (3.50, if rounded)

4) 1.48 dollars per pound (1.48, if rounded)

5)  0.4825 dollars per pair (0.48, if rounded)

( shown work in screenshots, 1-5; magnify it to see better :D )