Given similar terms, solve for the missing variables (x)

Answer:

Step-by-step explanation:

|3x+12|

one is as it is                                     one is the negative value of it

3x + 12                                                   - (3x + 12)

                                                               - 3x - 12

That is because both negative and positive values put in am absolute value become positive.

The value of the absolute value function is given by the expressions A and B where A = 3x + 12 and B = - ( 3x + 12 )

Regardless of the sign, a modulus function returns the magnitude of a number. The absolute value function is another name for it.

It always gives a non-negative value of any number or variable. Modulus function is denoted as y = |x| or f(x) = |x|, where f: R → (0,∞) and x ∈ R.

The value of the modulus function is always non-negative. If f(x) is a modulus function , then we have:

If x is positive, then f(x) = x

If x = 0, then f(x) = 0

If x < 0, then f(x) = -x

Given data ,

Let the modulus function be represented as M

Now , the value of M is

M = | 3x + 12 |  be equation (1)

The absolute value function is defined as

If x is positive, then f(x) = x

If x = 0, then f(x) = 0

If x < 0, then f(x) = -x

So , the two expressions are

A = 3x + 12 and

B = - ( 3x + 12 )

Hence , the absolute value functions are solved

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Answer:B

Step-by-step explanation:

Answer: B

Step-by-step explanation:

The line on B is at the Y coordinate -6.

Horizontal is the X

Vertical is the Y

Answer:

$1.5 per water bottle.

Step-by-step explanation:

One energy bar is equal to $2.

$2 * 22 players is equal to $44.

$44 - $77 is equal to $33.

$33 ÷ 22 players is $1.5.

the reason I divided $33 by 22 players is because you need to know how many dollars did he pay for each bottle of water so you divide the amount of dollars by the amount of players to get the amount of dollars of each water bottle.

Answer:

55.5 cubic yards

Step-by-step explanation:

Here,

Length ( l ) = 5 yd

Base ( b ) = 3.7 yd

Height ( h ) = 3 yd

To find : Volume

This shape is a cuboild.

Formula : -

Volume of cuboild = lbh

Volume of cuboild

= 3 x 5 x 3.7

= 55.5 cubic yards

[tex] \huge\fbox\orange{ANSWER} [/tex]

[tex] \mathsf \purple{v = l \times w \times h}[/tex]

[tex] \mathsf \pink{v = 5 \times 3.7 \times 3}[/tex]

[tex] \mathsf \purple{v = 55.5 {yd}^{3} }[/tex]

55.5 cubic yards

[tex]======================================[/tex]

Negative numbers are always less than positive ones.

Do you remember the symbol for "less than"? That's right, "<" :)

Hence,

-6<3

Because

-6 is negative (the - sign tells us that)

3 is positive

[tex]===================================[/tex]

~DiamondS~

Answer:

There are three yellow marbles.

Step-by-step explanation:

The way i figure it is since they are both even numbers divide them both by two and you have your answer.

Answer: Parallel

Step-by-step explanation:

Answer:

i believe she spent $4.482 on clementines

By taking the average of her balance of each day of August, we will see that the average daily balance is $373.08

We know that:

So, first, her balance is $579.53 for 7 days. Then her balance is $79.53 for 8 days, then her balance was $279.53 for another 8 days, and finally, her balance was $579.53 for the last 8 days of august.

Then over the 31 days of August, the average daily balance will be:

[tex]A = \frac{7*579.53 + 8*79.53 + 8*279.53 + 8*579.53}{31} = 373.08[/tex]

So in August, her average daily balance was $373.08

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Answer:

B.75

Step-by-step explanation:

Answer:

$104

Step-by-step explanation:

$260 - 60% = $104

Answer:

508,000 in 11 years

Step-by-step explanation:

3.75% of 360,000 is 13500

So every year the population grows 13500 people

13500 * 11 = 148,500

148,500+360,000=508,000

So in 11 years the population would be 508,000

Answer:

x = 2, y = 1

Step-by-step explanation:

Given:

[tex]\begin{bmatrix}2x+2y=6\\ 3x-y=5\end{bmatrix}[/tex]

Solve:

[tex]\mathrm{Isolate\;x\;for\;2x+2y=6:x=3-y}[/tex]

[tex]\mathrm{Substitute\:}[/tex]

[tex]\begin{bmatrix}3\left(3-y\right)-y=5\end{bmatrix}[/tex]

[tex]\mathrm{Simplfy}[/tex]

[tex]\begin{bmatrix}9-4y=5\end{bmatrix}[/tex]

[tex]\mathrm{Isolate\;y\;for\;9-4y=5:y=1}[/tex]

[tex]\mathrm{For\:}x=3-y\;\mathrm{Substitute\:}y=1[/tex]

[tex]x=3-1[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]x=2[/tex]

[tex]\mathrm{The\:Answers\:to\:the\:system\:of\:equations\:are:}[/tex]

[tex]x=2,\:y=1[/tex]

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Check Answer:

Since [tex]x =2 , y =1[/tex]

[tex]2(2)+2(1)[/tex]

[tex]4 + 2[/tex]

[tex]= 6[/tex]

True

[tex]3(2) - (1)[/tex]

[tex]6 -1[/tex]

[tex]5[/tex]

True

Hence, [tex]x = 2, y = 1[/tex]

~Lenvy~

There was 42 biscuits in the boxes

Answer:

x = 6

y = -5

Explanation:

substitute each of the following,

-3x + 13  = -x + 1

-3x + x = 1 - 13

-2x = -12

x = 6

Find y,

y = -x + 1

y = -6 + 1

y = -5

Step-by-step explanation:

please mark me as brainlest

Answer:

c 6

Step-by-step explanation:

since angles are equal then the sides can be equal

(AB÷PQ)=(AC÷PR)

(20÷5)=(24÷X)

4=24÷X

X=6

Answer: They are all less than 1

13% = 0.13 is less than 1

So is 0.125

And so is [tex]\frac{1}{5} = 0.2[/tex]

Same goes for 10% = 0.10

Answer:

224

Step-by-step explanation:

7×8×4= 224 that is the answer

Answer:

what do you mean by this I don't get it

The surface area is the sum of the areas of the faces of a figure. We can break this figure down into 3 different shapes: the base rectangle, the rectangles that come to a point, and the two triangles.

Area of a Rectangle = base x height

Area of a Triangle = 1/2 x base x height

Base rectangle = 24 x 12 = 288

Rectangles that come to a point = 2(12 x 13) = 2(156) = 312

---There are two rectangles, which is why I multiplied the area by 2.

Triangles = 2(1/2 x 24 x 5) = 2(1/2 x 120) = 2(60) = 120

Surface Area = sum of all the areas of the faces

Surface Area = 288 + 312 + 120 = 720 in^2

Answer = 720 in^2

Hope this helps!

Answer:

Option b is the answer.

Step-by-step explanation:

As you can see in the image you have given, the x values that are less than or equal to 4.5 are the elements of the solution set.

Answer:

Step-by-step explanation:

The first transformation changes the sign of the x-coordinate. That means a point that was some number of units (3, for example) right of the y-axis will be transformed to a point 3 untis left of the y-axis. It is reflected across the y-axis.

__

The second transformation multiplies each coordinate value by 0.4. A point that was some number of units (3, for example) away from the origin, will be transformed to a point 3×0.4 = 1.2 units from the origin. It is dilated by a factor of 0.4.

__

The third transformation subtracts 8 from the x-coordinate and adds 8 to the y-coordinate. The x-coordinate is a measure of the distance to the right of the y-axis, so subtracting 8 from the x-coordinate means the point is 8 fewer units to the right of the y-axis. It is translated left 8 units.

Similarly, the y-coordinate is a measure of the distance up from the x-axis. Adding 8 to the y-coordinate will move the point 8 more units up from the x-axis. It is translated up 8 units.

The result of the recursive function mystery (m) is k.

In computer science, functions are collections of code that can be used and re-utilised in greater codes. Functions are formed by inputs, a procedure and an output.

In this question we must analyze a recursive function, recursive functions are functions that creates a loop with the function itself, that is, the function uses itself as an output, until desired output is done.

After performing desktop testing, we conclude that the result of the recursive function mystery (m) is k. [tex]\blacksquare[/tex]

This is a Computer Science problem, whose complete statement is described below:

Consider the following recursive method:

public static int mystery (int n)

{

    if (n <= 1)

    {

         return 0;

    }

    else

    {    

         return 1 + mystery(n/2);

    }

}

Assuming that k is a nonnegative integer and m = 2ⁿ, what value is returned as a result of the call mystery (m)?

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The result of the recursive function mystery (m) is k.

In computer science, functions are collections of code that can be used and re-utilized in greater codes. Functions are formed by inputs, a procedure, and an output.

In this question we must analyze a recursive function, recursive functions are functions that create a loop with the function itself, that is, the function uses itself as an output until the desired output is done.

After performing desktop testing, we conclude that the result of the recursive function mystery (m) is k.

Consider the following recursive method:

public static int mystery (int n)

{

   if (n <= 1)

   {

        return 0;

   }

   else

   {    

        return 1 + mystery(n/2);

   }

}

Hence, the result of the recursive function mystery (m) is k.

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Answer: 60/61

Step-by-step explanation:

The fraction that represnts the slope formula for the line that contains the points, (4, 9) and (0, 5) is given as: Slope = (-4)/(-4) = 1

Slope of a line = change in y/change in x = [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex]

Given the following points:

(4, 9) and (0, 5)

Slope of the line would be:

Slope = (5 - 9)/(0 - 4)

Slope = (-4)/(-4)

Slope = 1

Therefore, the fraction that represnts the slope formula for the line that contains the points, (4, 9) and (0, 5) is given as: Slope = (-4)/(-4) = 1

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Answer:

Step-by-step explanation:

   (x+1)       = domain = all real #s

(x²-6x-8)⇒ (x-4)(x-2)= x≠ 2,4

Because you can not have a zero in the denominator, x≠2,4

so your domain is (-∞,2)∪(2,4)∪(4,∞)