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Answer:

The domain of the function f(x) is:

[tex]\mathrm{Domain\:of\:}\:5\left|x\right|\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:<x<\infty \\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:\infty \:\right)\end{bmatrix}[/tex]

The range of the function f(x) is:

[tex]\mathrm{Range\:of\:}5\left|x\right|:\quad \begin{bmatrix}\mathrm{Solution:}\:&\:f\left(x\right)\ge \:0\:\\ \:\mathrm{Interval\:Notation:}&\:[0,\:\infty \:)\end{bmatrix}[/tex]

Step-by-step explanation:

Given the function

[tex]f\left(x\right)=5\left|x\right|[/tex]

Determining the domain:

We know that the domain of the function is the set of input or arguments for which the function is real and defined.  

In other words,  

It is clear that the function has undefined points nor domain constraints.

Thus, the domain of the function f(x) is:

[tex]\mathrm{Domain\:of\:}\:5\left|x\right|\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:<x<\infty \\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:\infty \:\right)\end{bmatrix}[/tex]

Determining the range:

We also know that range is the set of values of the dependent variable for which a function is defined.  

In other words,  

We know that the range of an Absolute function is of the form

[tex]c|ax+b|+k\:\mathrm{is}\:\:f\left(x\right)\ge \:k[/tex]

[tex]k=0[/tex]

so

Thus, the range of the function f(x) is:

[tex]\mathrm{Range\:of\:}5\left|x\right|:\quad \begin{bmatrix}\mathrm{Solution:}\:&\:f\left(x\right)\ge \:0\:\\ \:\mathrm{Interval\:Notation:}&\:[0,\:\infty \:)\end{bmatrix}[/tex]

[tex]h(x) = \sqrt{x - 2} + 3[/tex]

A constant inside the square root will make the graph shift either left to right, depending on the number. From the equation. The graph shifts to right two units.

A constant outside the square root will make the graph shift up or down, depending the value. From the equation, the graph shifts up 3 units.

Answer:

Step-by-step explanation:

second graph

Answer:

15,492 gumdrops

Step-by-step explanation:

If the company needs 3,873 bags of candy and each bag has 4 pieces of candy it them, then multiply the amount of bags they need and the amount in each bag and you will get how many they need in total.

Step-by-step explanation:

(x+5)(x+3)=0

x+5=0 or x+3=0

x=-5or x=-3

(-5)^2-9=0

10-9=0

1=0

(-3)^2-9=0

9-9=0

0=0

Answer:

Step-by-step explanation:

It's clear from the graph that the angles of the given triangles are different.

And for similarity of two triangles, at least two angles of the triangles should be congruent.

Therefore, both the triangles are not similar.

The angles are DIFFERENT.Since similarity transformations preserve angle measures, ΔUVW and ΔGHI ARE NOT similar.

Answer:

8x and 4x(2) + 5

Step-by-step explanation:

It doesn't make sense but I am pretty sure this is correct

Answer:

This is a right angle.

Step-by-step explanation:

As you can see below, the angle specified is 90 degrees. That is a right angle.

Answer:

Step-by-step explanation:

[tex]2 {y}^{3} - {y}^{3} [/tex]

[tex] {y}^{3} \: (collect \: like \: terms)[/tex]

Answer:

Angle 2 = 75 degrees

Angle 1 = 105 degrees

Answer:

5/28

Step-by-step explanation:

Salvador sold hats during a weekend sporting event. On Saturday, Salvador sold 4/7 of the total number of hats. On Sunday, he sold 1/4 of the total number of hats. What fraction of the total number of hats was left over

Total number of hats = x

Hats sold on Saturday = 4/7x

Hats sold on Sunday = 1/4x

Hats left over = x - (4/7x + 1/4x)

= x - ( 16x+7x/28)

= x - 23/28x

= 28x - 23x/28

= 5/28x

Answer:

A. The line on the left

B.not sure

C. 20 dollars

Step-by-step explanation:

Answer:

C.11

Step-by-step explanation:

By drawing the line of best fit (using the other points) you can estimate how long 14 rows will take, which is 11 minutes.

Answer:

x < 2

Step-by-step explanation:

I hope this help you

Answer:

x= 5/3?????

Step-by-step explanation:

try using math

way

Answer:

1/25 to get both correct

Step-by-step explanation:

So the probability of getting one choice correct is 1/5

Since 5 choices 1 is correct

now we have to get 2 in a row correct so

1/5*1/5=1/25

Answer:

what are you ment to do...............

Answer:

(-6,4)

Step-by-step explanation:

-7-(-1)=-6

7-3=4

Answer:

C. Yes, by distributive property

Step-by-step explanation:

Distributive property states that 3 can be distributed to all of the terms inside of the parentheses, namely x and -2. 3x + 3(-2) = 3x-6

Answer:

23.5

Step-by-step explanation:

I'm not sure if its correct or not

Answer:

2x + 8y = 60= 30

5x + 4y = –10= -2

Step-by-step explanation:

Simplifying

2x + -8y = 60

Solving

2x + -8y = 60

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '8y' to each side of the equation.

2x + -8y + 8y = 60 + 8y

Combine like terms: -8y + 8y = 0

2x + 0 = 60 + 8y

2x = 60 + 8y

Divide each side by '2'.

x = 30 + 4y

Simplifying

x = 30 + 4y

Answer:

A.    5 square feet per minute

Step-by-step explanation:

Answer:

The answer is 5 square feet per minute.

Step-by-step explanation:

Since 1/3 of an hour is 20 minutes, it will look like 100 square feet/20 min.

To make 20 minutes into one minute, we have to divide it by 20.

Because we did it to the denominator, we also have to do the same thing to the numerator.

Divided 100 by 20, which gives you 5.

Hope this helps!!

Answer:

See the attached

Step-by-step explanation:

Solution is given on the picture

Answer:

Percentage: 333.3%

Decimal Form:  3. 3

Step-by-step explanation:

Answer:

Multiply four on both sides

Step-by-step explanation:

;)

Answer:

376 units and 1,857 units

Step-by-step explanation:

The computation is shown below:

The number of units that company sells to break even is

Let us assume the number of units be x

$16,000  + $8.20x  = $50.75x

$16,000 = $50.75x - $8.20x

$16,000 = $42.55

x = $16,000 ÷ $42.55

= 376 units

Now in order to make the profit the number of units sold is

$50.65x - ($16,000 + $8.20x) = $95,000

$50.65x - $16,000 - $8.20x = $95,000

$42.55x = $95,000 - $16,000

$42.55x = $79,000

x = $79,000 ÷ $42.55

= 1,857 units

Answer:

Step-by-step explanation:

Given point

Dilation by a scale factor of 74:

Rotation by 180°:

Answer:

C = 40p

Cost for 15 people: 600 dollars

Step-by-step explanation:

The amusement park charges $40 per person.

That can be represented as 40 × P or 40P.

C is equal to the cost of admission for P people.

So, C = 40P

C = 40P

C = 40(15)

C = 600

The cost of admission for 15 people is 600 dollars.

Hope that helps.

Answer:

This is already as simple as it will get.  You could expand it though.  In that case you'd get:

(x + y)⁴

= (x² + 2xy + y²)²

= x⁴ + 2x³y + x²y² + 2x³y + 4x²y² + 2xy³ + x²y² + 2xy³ + y⁴

=  x⁴ + 4x³y + 6x²y² +4xy³ + y⁴

But this doesn't simplify at all.