Use the distribution property to rewrite the expression. Then evaluate.
-3(2x-6)

Answer:

g(x)=3x²-7

Step-by-step explanation:

Subtract 8 from 3x²+1.

3x²+1-8=3x²-7

g(x)=3x²-7

Hope this helps!

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the number of two door cars in the parking lot is 12 and the number of four door cars in the parking lot are 24.

We are given that the number of four door cars in a parking lot is equal to twice the two door cars.

Let the two door cars be x

Four door cars = 2 x

Also, we are given that total cars = 36

So, we get the equation:

x + 2 x = 36

3 x = 36

x = 36 / 3

x = 12

Two door cars = x = 12

Four door cars = 2 x = 2 ( 12) = 24

Therefore, we get that, the number of two door cars in the parking lot is 12 and the number of four door cars in the parking lot are 24.

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Answer: ok here is ur answer

The total number of logs in the pile is 6.

Step-by-step explanation: i rlly hope this helps i hope u have a good day/night (: <3

From the given graph, we have that:

The ordered pairs are given as follows: (-5,2), (-3,0), (0,-3), (3,-6), (5, -8).

The table is given by:

In function notation, we have that:

g(-5) = 2, g(-3) = 0, g(0) = -3, g(3) = -6, g(5) = -8.

To get the ordered pairs from the graph of a function, we have to:

An ordered pair has the following notation: (x,y).

Hence, from the points on the graph, the ordered pairs are given as follows:

(-5,2), (-3,0), (0,-3), (3,-6), (5, -8).

To write the table from each ordered pair (x,y), we have that y = g(x), hence:

We take the g(x) points from the table, replacing x by it's numeric value, hence:

g(-5) = 2, g(-3) = 0, g(0) = -3, g(3) = -6, g(5) = -8.

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The content dimension of a message deals with the what of a message, while the relational dimension of a message deals with the how of a message is the correct answer.

Content dimensions is a generic concept to have multiple variants of a content node. It involves the information being explicitly discussed. The content repository supports any number of dimensions. The content dimension is the meaning of the actual message itself.

"Relational dimension of communication is a concept in which we have similar weight and impact as that of the message. This concept deals with the quality or nature of the relationships and networks."

Hence we can conclude that the content dimension of a message deals with the what of a message, while the relational dimension of a message deals with the how of a message is the correct answer.

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The difference in the numbers of emails sent by each company is 4.19 × 10⁴.

The number of emails sent by company p = 6.1 × 10⁴

Converting scientific notation to real number

The number of emails sent by company p = 6.1 × 10000

Performing multiplication

The number of emails sent by company p = 61,000

The number of emails sent by company c = 191,00

Finding the difference using subtraction operation

Difference in number of mails = 61000 - 19100

Performing subtraction

Difference = 41,900

Converting the real number in scientific notation

Difference = 4.19 × 10⁴

Hence, the difference in the numbers of emails sent by each company is 4.19 × 10⁴.

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Answer:  Mr Blade is typing at about 30 words per minute

Step-by-step explanation: all you have to do is multiply 9 x 40 since that is the amount of wpm (words per minute) by amount of time it takes Mr Adi and 9 x 40 = 360 than you have to divided 360 by 12 since that is the amount of time it takes Mr Blade to type the story and 360 divided by 12 equals 30

Answer:

Hello,

Answer D

Step-by-step explanation:

AC=22

BC=x+14

AB=x+10

Hence AB+BC=AC

x+10+x+14=22

2x+24=22

2x=22-24

2x=-2

x=-1

Answer: a. y=5

b. RS=24, ST=19

Step-by-step explanation:

a. RT=RS+ST

43=4y+4+3y+4

43=4y+3y+4+4

43=7y+8

7y=35

y=5

b. RS=4y+4

RS=4(5)+4

RS=20+4

RS=24

ST=3(5)+4

ST=15+4

ST=19

There is 17.5 inches distance between the tee and the hole on the model.

According to the question we have been given that

length of hole#9 is = 175 yards

the scale for the model is given as = 2 inch : 20yards

We need to find the inches between the tee and the hole.

Let the length between the tee and the hole on the model be x inches

Thus the above condition can be written as

               2 inches / 20yards = x inches/175 yards

We have to solve this proportion for x we get

                       x inches = 175*2/20

                            x = 17.5 inches

Hence there is 17.5 inches distance between the tee and the hole on the model.

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Answer:

The function from the above scenario that has a larger maximum is function 1.

What is the function about?

Note that the first function is;

x = - b/ 2 a = 6 /8 = 3/4

f ( 3/4 ) = - 4 * 9/16 + 6 * 3/4 + 3

= - 9 /4 + 18 / 4 + 3

= 2.75 + 3 = 5.25

y max = 5.25

The second Function is:

y max = 2

Therefore we can see that the first function has a larger term that is ( 5.25 > 2 ).

The transformation of the given image follows the pattern; Reflection across the x-axis, then translation by 2 units downwards, the reflection across the y-axis.

From the given first image, we see that it is in the first quadrant but by the second image, we see that it is now mirrored along the horizontal axis. Thus, we can say that it is reflected across the x-axis.

After reflection, across the x-axis, we see that it was translated down by 2 units.

The last transformation is that we see it is now in quadrant 3 which means it was now reflected across the y-axis.

The transformation of the given image follows the pattern; Reflection across the x-axis, then translation by 2 units downwards, the reflection across the y-axis.

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There are three reporting sections

Part One:

The following three reporting options are available in SAP ERP:

General Reports: These reports are pre-delivered by SAP and are made available in several regional formats to aid with basic HCM reporting. InfoSet (Ad-hoc)

Query Tool: This sophisticated tool can be used to answer one-time queries about SAP HR (Ad Hoc) or different info types of data that are accessible in SAP applications

Custom ABAP Reports: These are programs created by SAP developers using the ABAP programming language.

Second Section

Custom ABAP Reports General Reports InfoSet (Ad-hoc) Query, Tool

Third Section

The following are some of the reporting possibilities offered by SAP BI:

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The increase in cost from 2009 to 2010 is 14.28%

In order to solve this question we will be taking the following example:

Let the cost of the house in 2008  = $1000

Increase in cost from 2008 to 2010 = 60%

Cost of the house in 2010 = 1000 + 60%*1000 = $1600

Increase in cost from 2008 to 2009 = 40%

Cost of the house in 2009 = 1000 + 40%*1000 = $1400

Increase in cost from 2009 to 2010 = 1600 - 1400 = $200

Percentage increase in cost from 2009 to 2010 = (Increase in cost/Cost of the house in 2009)*100

=(200/1400)*100

= 14.28% or 14%

Therefore, there has been an increase of 14.28% in the cost of houses from 2009 to 2010

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By unitary method, Marissa can hike 7/3 miles in an hour.

A single unit's value can be determined from the values of multiple units, and multiple units' values can be determined from the values of single units using the unitary method.

Given:

[tex]1\frac{3}{4}[/tex] = 7/4miles are hiked in 3/4 hours.

To find: the number of miles hiked in one hour

Finding:

By unitary method,

Miles hiked in 3/4 hours = 7/4

Miles hiked in 1 hour = 7/4(4/3) = 7/3

Hence, by unitary method, Marissa can hike 7/3 miles in an hour.

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Answer:

Step-by-step explanation:

b : Y=8x+15

Answer:

9 + 2(1 - 7)

= 9 + 2(-6)           Simplify the subtraction expression inside the parenthesis.

= 9 - 12                Multiply.

= -3                      Subtract.

The new equation that will be formed is x − 3(6x − 1) = −11 (third option).

The substitution method is one of the methods that is used to solve simultaneous equations. It entails making one of the variables subject of the formula and substituting for it in the second equation.  Other methods that can be used to solve simultaneous equations are the graph method and the elimination method.

The two simultaneous equations given are:

6x − y = 1 equation 1

4x − 3y = −11 equation 2

When y in equation 1 is made subject of the formula, the equation formed is:

y = 6x - 1 equation 3

Substitute for y in equation 2

4x - 3(6x - 1) = -11

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Answer:

440

Step-by-step explanation:

Answer:

440

Step-by-step explanation:

Hm

The transformation is called a reflection across X axis because the point (x,y) is projected from across X-axis as (x,-y).

A point, lines, or geometric figure can be transformed in one of four ways, each of which affects the shape and/or location of the object. Pre-Image refers to the object's initial shape, and Image, after.

transformation, refers to the object's ultimate shape and location.

This rule is represented by the reflect placed above a white x axis transformation (x, y) (–x, y).

While the x-coordinate remains the same, the y-coordinate has shifted from its initial position.

The overall description of this is (x, y) (–x, y).

The X-coordinate of a point that is reflected all across the X-axis remains constant. The Y-coordinate, on the other hand, is changed towards the opposite sign.

The transformation is called a reflection across X axis because the point (x,y) is projected from across X-axis as (x,-y).

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The expression 83 - 7.5 t represents the amount of water that is left in the tank after t hours as 7.5 l of water drains every hour from the large water tank.

We are given that:

7,5 l of water drains from the large water tank every hour.

Also, the water level in the large water tank initially was 83 l

We need to tell what does the expression 83 - 7.5 t represent.

It represents the amount of water that is left in the tank after t hours as 7.5 l of water drains every hour from the large water tank.

Therefore, the expression 83 - 7.5 t represents the amount of water that is left in the tank after t hours as 7.5 l of water drains every hour from the large water tank.

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If Cailyn is packing 1-centimeter cubes in a prism of same dimensions and in the same manner as as shown in the figure attached, where Joe is packing 1-centimeter cubes into the prism, then the volume of the prism is 210 cm³.

As per the question statement, Cailyn is packing 1-centimeter cubes in a prism of same dimensions and in the same manner as as shown in the figure attached, where Joe is packing 1-centimeter cubes into the prism.

We are required to calculate the volume of the prism.

As we can see from the reference diagram attached  hereby, our prism can hold a 7 cubes along its length, 6 cubes along its width and 5 cubes along its height.

And since the constituent cubes are all identical and of volume 1 cm³, it means that all the dimensions (length, width and height) of each of the constituent cubes is 1cm.

Therefore, length of our prism [tex]=(7*1)=7[/tex] cm,

Width of our prism [tex]=(6*1)=6[/tex] cm,

And, height of our prism [tex]=(5*1)=5[/tex] cm.

Therefore, volume of our prism = (length * width * height)

                                                    [tex]=(7*6*5)\\=(42*5)\\=210[/tex]  

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Answer:

4553

Step-by-step explanation:

2 x pi x r

Part A

Reason:

The graph shows the highest point occurs when y = 360. After this point, the truck turns around to go back to the starting point (the warehouse perhaps).

In other words, the truck starts at y = 0 when it's at the warehouse. It travels 360 miles to reach the customer, which is represented as the highest point of the V shaped curve. This process takes 6 hours.

Then another 6 hours elapses when the truck drives back to the warehouse. We assume the same route is used, and similar traffic conditions occur for each leg of the trip.

============================================================

Part B

Reason:

The graph shows that the truck takes 12 hours to get back to the warehouse. We look at the x intercept because this is when the distance from the start is back to y = 0 again.

Now we need to find out how long the car takes on its trip.

We'll plug in y = 0 into the car's equation and solve for x.

y = -72|x-5| + 360

0 = -72|x-5| + 360

72|x-5| = 360

|x-5| = 360/72

|x-5| = 5

x-5 = ± 5

x-5 = 5 or x-5 = -5

x = 5+5 or x = -5+5

x = 10 or x = 0

x = 0 or x = 10

This tells us that the car is at the warehouse when x = 0 and when x = 10.

Therefore, the car takes 10 hours to do a round trip, and it's the faster vehicle.

Answer:

Use divide 510/2550 it will be 0.2

Answer:

20% or 0.2

Step-by-step explanation:

no

Step-by-step explanation:

because it's a prime number

The variable which is incorrect in his solution as given in the task content is; Choice C; variable w.

It follows from the task content that the equation is to be solved for y.

Given; A = 2x -xyz² -w

Add w-2x to both sides of the equation;

A+w-2x = -xyz²

Divide both sides by; -xz²

y = {A+w-2x}/{-xz²}

Hence, the variable which is placed incorrectly in the task content is; w as it should appear Inthe numerator instead of the denominator.

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