How much larger is 5 than -5 ? ( if using a number line what is the difference between -5 and 5)

Answer: Average salary per month=$1,743

(NB--- I am thinking you meant  $1,977, $1,560, $1,820 instead of $1.977 $1.560. $1.820 ie a comma instead of decimal point, so i corrected and solved )

Step-by-step explanation:

Step 1

Average salary  =Total amount of employees salaries/ Number  of employees

Step 2

Employee         Amount of salary per month

Wilma                $1,820

Mavis,                $1,615

Martha,             $1,977

Tom                   $1,560.

Total =               $ $6,972

Average salary per month  = $1,820 + $1,615+$1.977+$1.560/4 =$6,972/4= $1,743

For the function   [tex]\frac{10}{x + 5}[/tex]  , we can say

The domain of f(x) is (–∞, –5) U (–5, ∞).

The y-intercept is (0, 2).

There is a vertical asymptote at x = –5.

The end behavior is  x → –∞, f(x) → 0 and x → ∞, f(x) → 0.  

A mathematical relationship from a set of inputs to a set of outputs is called a function.

The domain of a function is the set of all possible inputs for the function.

The range of a function is the set of outputs the function achieves when it is applied to its whole set of outputs

An asymptote is a straight line that can be horizontal, vertical or oblique that goes closer and closer to a curve which is the graphic of a given function.

The given function is  [tex]\frac{10}{x + 5}[/tex]  

Now, if x = -5 then the function becomes undefined.

∴ The domain of the function is all real numbers except -5

So, The domain of f(x) is (–∞, –5) U (–5, ∞).

So, option a is correct.

Clearly, the range of the function includes all real numbers

So, option B is wrong

To find the x-intercept , we will have to solve f(x) = 0,  which is not at all possible for this function.

So, option C is wrong

So, putting x = 0 in the function we get f(x) = 2

So, the y- intercept is (0, 2).

So, option D is correct.

∴ x+ 5 = 0

∴ x = -5

So, there is a vertical asymptote at x = –5.

Hence option E is correct.

We can see,

So, as x tends to -∞, f(x) will tend to 0

So, Option F is correct.

Find more about "Domain and Range of Functions" here: https://brainly.com/question/1942755

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Answer:

ADEF

Step-by-step explanation:

ADEF

Answer:

1 possibility is there for the the position of the fourth vertex.

Answer:

Vertical Translation.

Step-by-step explanation:

If you shift a parabole up, for example, it is still symmetric about the y-axis. If you shift it left or right, it loses its symmetry. Reflection maintains symmetry for both even and odd functions.

Answer:

vertical translation

Step-by-step explanation:

Answer:

there is one fourth in one third

Step-by-step explanation:

1/3 < 1/2

one third is less than two fourths (one half)

1/3  > 1/4

but it is more than one fourth, so one fourth fits in one third.

Answer:

Machine B is the faster machine because it packs 4 cartons in an hour while the other machine takes 5 hours to pack 4 cartons. The faster machine can pack 4 cartons in an hour.

Step-by-step explanation:

Answer:

X = -7/2

Step-by-step explanation:

Answer:

x = -7/2

Step-by-step explanation:

-(7-2x)+7=-7

          -7   -7

Start by subtracting -7 from both sides.

-(7-2x) = -14

Divide both sides by -1 to eliminate the negatives.

-(7-2x) = -14

---------     -------

-1               -1  

Simplify.

7-2x = 14

Subtract -7 from both sides.

-2x = -7

Divide both sides by -2

-2x = -7

-----    ----

-2        -2

x= -7/2

Check if -7/2 by plugging it back into the equation: (-7/2 = -3.5)

-(7-2(-3.5))+7 = -7

Answer: x = 1 + 0.5c

Step-by-step explanation:

Answer:

997 kg/m³

Step-by-step explanation:

I just looked it up, hopefully it's the right answer

Answer:

(3, 4, 6, 8, 11)

Step-by-step explanation:

The complement of a set are elements of a universal set that isn't present in the given set.

The universal set is  U = {3, 4, 5, 6, 7, 8, 9, 10, 11)

[tex]\left \{ 3,4,6,8,11 \right \}[/tex]

A set is a well-defined collection of objects.

The collection of all items in a certain context or theory is known as a universal set.

The complement of a set is the set that contains all of the universal set's elements that aren't found in the provided set.

[tex]U=\left \{ 3,4,5,6,7,8,9,10,11 \right \}[/tex]

Let [tex]A=\left \{ 5,7,9,10 \right \}[/tex]

Complement of set is [tex]\left \{ 3,4,6,8,11 \right \}[/tex]

For more information:

https://brainly.com/question/2332158?referrer=searchResults

Answer:

6 and 7

Step-by-step explanation:

I think you mean 'the sq rt of 48 lies between what 2 integers.'

The answer is 6 and 7.

Answer:

Terms: -1, 2z, -z²

Coefficients: 2, -1

Constant Term: -1

Step-by-step explanation:

Terms are a set of numbers. It can be accompanied by a variable or not.

Terms: -1, 2z, -z²

Coefficients are the numbers that are in front of a variable.

Coefficients: 2, -1

Constant term is just a number, with no variable attached to it.

Constant Term: -1

Answer:

-8

Step-by-step explanation:

if he took out the same number of fish each day then it would be 8 a day resulting in a decrese of 8 fish a day.

Answer:

Step-by-step explanation:

Coordinate geometry is always used in a certain cartesian system such as the X-Y cartesian system to represents the location of a point.

For example a point  

P  ( x , y )  , occupies an identical position in the cartesian system and the coordinate 'x' and 'y' represents the distances of the point from the X and Y-axis respectively with respect to the origin.  If a point  

P ( x , y )  between two other points  

A ( x 1 , y 1 )  

and  

B ( x 2 , y 2 ) , divides in just two halfs then point P is known as the Midpoint of the points A and B.

And

P ( x = x 1 + x 2 2 ,     y = y 1 + y 2 2 )

Answer:

1.324

Step-by-step explanation:

"and" is basically the decimal

Answer:

.32400

Step-by-step explanation: just cs

Answer:

the distance from a to c is 10

Step-by-step explanation:

this is because the line in the middle divides the angle into equal sizes what the marks mean on it    

Answer:

the distance from A to C is 10units

Step-by-step explanation:

A to B and A to C share the same distance

Answer:

58

Step-by-step explanation:

Prime Numbers = 2+3+5+7+11+13+17

= 58

Answer:

The arrow has the rotational symmetry after a 180 degree rotation

Step-by-step explanation:

It looks the same after tuning it by that degree, also i took the test :)

Answer:

3

Step-by-step explanation:

4x +14 +4x =38

8x =38 - 14

8x=24

x=24 :8

x=3

Answer: [tex]2 + \sqrt{3}[/tex]

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

Work Shown:

[tex]\frac{6 + \sqrt{27}}{3}\\\\\frac{6 + \sqrt{9*3}}{3}\\\\\frac{6 + \sqrt{9}*\sqrt{3}}{3}\\\\\frac{6 + 3\sqrt{3}}{3}\\\\\frac{3(2 + \sqrt{3})}{3}\\\\2 + \sqrt{3}\\\\[/tex]

The idea with simplifying the square root (steps 2 through 4) has us factoring 27 so that one factor is a perfect square. We want the largest perfect square factor possible.

That way when we use the rule sqrt(x*y) = sqrt(x)*sqrt(y), we pull out that perfect square to then use the rule sqrt(x^2) = x where x is nonnegative.

After simplifying the square root, we factor out the GCF and then cancel out the 3's.

Answer:

y = -2

Step-by-step explanation:

Slope does not exist, meaning that the line is horizontal. Therefore, the equation is just y = -2.

Answer:

The domain should be on the x-axis.

I might be wrong.

Answer:

Step-by-step explanation:6x4.3

Answer: 1/ x^2y^5 or the third option from the top

Step-by-step explanation:

Answer:

I think it would be -0.416 but I'm not real sure so make sure before using my answer! :3 Have a great day!

0.72 AU is the answer

Answer:

x + y = -5

Step-by-step explanation:

x - 2y = 1

2x - y = - 4

then:

x = 1 + 2y

then:

2(1+2y) - y = -4

(2*1 + 2*2y) - y = -4

2 + 4y - y = -4

3y = -4 -2

3y = -6

y = -6/3

y = -2

x = 1 + 2y

x = 1 + 2*-2

x = 1 - 4

x = -3

Check:

x - 2y = 1

-3 -2*-2 = 1

-3 + 4 = 1

Answer:

x + y = -3 -2= -5

Answer:

11ft.

Step-by-step explanation:

121 is the square root of 11, but that's not important. basically, you just find out what multiplies to be 121, since it's just side * side. long division can help if you're not allowed to use a calculator. I hope I was at least somewhat helpful. I feel like this wasn't the best explanation out there.

Answer: (4.01, -3.05)

Step-by-step explanation:

Use the midpoint formula (x1+x2/2,y1+y2/2)

-3.1 + -4.92 /2 =4.01

-2.8 + -3.3 /2 = -3.05

(4.01, -3.05)