Simplify the following expression completely.

x2 + 6x + 9
—————-
x2 + 2x - 3

Answer:

[tex]y = \frac{ - 67}{5} [/tex]

Step-by-step explanation:

[tex]y + \frac{2}{5} = - 13[/tex]

* Subtract 2/5 from both sides

[tex]y + \frac{2}{5} - \frac{2}{5 } = - 13 - \frac{2}{5} [/tex]

[tex]y = \frac{ - 67}{5} [/tex]

Answer:

Governor of State A earns $181,955 and Govermoe of State B earns $128,410

Answer:

the governor of state B = $128,410

the governor of state A = $ 181,955

Step-by-step explanation:

Lets say that:

the governor of state B = x

the governor of state A = x+$53,545

x+x+$53,545=

2x+$53,545= $310,365

2x=$256,820

x=$128,410

the governor of state A = $128,410 +$53,545 = $ 181,955

Answer:

Step-by-step explanation:

Max gross earning was:

Average per hour:

Answer:

14

Step-by-step explanation:

Because two 9's cancel out each other so 9 is what is left.

Hope it helps!

Answer:

14

Step-by-step explanation:

14+(-9)=14-9=5-(-9)-5+9=14

Answer:

33,39

Step-by-step explanation:

Answer:

  (A)  the addition property of equality and then the division property of equality

Step-by-step explanation:

To get from Step 1 to Step 2, we have added 5 to both sides of the equation:

  -3x -5 +5 = 13 +5

  -3x = 18

To get from Step 2 to Step 3, we have divided both sides of the equation by -3:

  -3x/-3 = 18/-3

  x = -6

These operations can be described as ...

  the addition property of equality and then the division property of equality

__

However, since addition and subtraction are the same thing, but with opposite numbers, and since multiplication and division are the same thing, but with reciprocal numbers, any of the answer choices is arguably correct.

  (add 5, divide by -3) = (add 5, multiply by -1/3) =

  (subtract -5, divide by -3) = (subtract -5, multiply by -1/3)

Answer:

A.) the addition property of equality and then the division property of equality

Step-by-step explanation:

Got It Right. Trust me

Answer: 1.5, 3.5, 4.5, 6.5, 8.5

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

Answer:

a. Yes

b. 0.35

c. 0.5

d.

E(x)=34.25

V(x)=73.1875

SD(x)=8.555

Step-by-step explanation:

a.

x      20   25   30      35   40  45 50

f(x) 0.05 0.2 0.25  0.15  0.15 0.1 0.1

This will be valid probability distribution if

1. All probabilities are between 0 and 1 inclusive.

2. Sum of probabilities must be 1.

Condition 1 is satisfied in this distribution. Now, we will check second condition

sum(f(x))=0.05+0.2+0.25+0.15+0.15+0.1+0.1=1.

As the both conditions are satisfied, thus the given distribution is a valid probability distribution.

b.

P(x≥40)=P(X=40)+P(X=45)+P(X=50)

P(x≥40)=0.15+0.1+0.1

P(x≥40)=0.35

So, the probability that Backens and Hayes LLC will obtain 40 or more new clients is 0.35.

c.

P(x<35)=P(X=20)+P(X=25)+P(X=30)

P(x<35)=0.05+0.2+0.25

P(x<35)=0.5

So, the probability that Backens and Hayes LLC will obtain fewer than 35 new clients is 0.5.

d.

Expected value of x=E(x)= sum[x*f(x)]

E(x)= 20*0.05+25*0.2+30*0.25+35*0.15+40*0.15+45*0.1+50*0.1

E(x)=1+5+7.5+5.25+6+4.5+5

E(x)=34.25

Variance of x=V(x)=sum[x²*f(x)]-(sum[x*f(x)])²

sum[x²*f(x)]= 20²*0.05 +25²*0.2 +30²*0.25 +35²*0.15 +40²*0.15 +45²*0.1 +50²*0.1

sum[x²*f(x)]=20+1255+225+183.75+240+202.5+50

sum[x²*f(x)]=1246.25

V(x)=1246.25-(34.25)²

V(x)=73.1875

Standard deviation of x=SD(x)=√V(x)

SD(x)=8.555

Answer:

Step-by-step explanation:

400

Answer:

its simple its 400

Step-by-step explanation:

Answer:

(a) 3, (b) 96, (c) No

Step-by-step explanation:

(a) Since we have [tex]p = 150 - 6q^2[/tex] and [tex]p = 10q^2 + 2q[/tex], we can set up a quadratic equation by [tex]150 - 6q^2 = 10q^2 + 2q[/tex], moving all values to one side.

The equation is: [tex]16q^2 + 2q - 150 = 0[/tex].

Let's use the quadratic formula to find q,

we obtain that [tex]q = 3[/tex] or [tex]q = -3.125[/tex]

We can ignore [tex]-3.125[/tex] because supplying a negative quantity is impossible.

Hence, the answer of (a) is 3

(b) Simply substitute [tex]q = 3[/tex] into either equations given in the question to find p, and the answer of (b) is 96.

(c) We want to find if there is an exact quantity that makes the TR exactly 1500.

We substitute TR = 1500,

[tex]1500 = 85q - 2q^2[/tex]

Use the quadratic formula again, and we will find that the answer is "undefined".

As a result, there is not output level in which the total revenue is exactly 1500.

linear equation

hope it helps

Answer:

x = 6

Step-by-step explanation:

...

...

...

.....

..

The number of apples and bananas andrew and his children bought is 6 and 10 respectively.

Andrew and his children bought $12 worth of apples and bananas. Each apple costs $1 and each banana costs $0.60. He bought a total of 16 apples and bananas altogether.
Let number of apples = x and number of bananas is x-16

In mathematics it deals with numbers of operations according to the statements.

Here,
x*4 + 0.60(16-x) = 12
0.4x + 9.6 = 12
0.4x = 2.4
Number of apples, x = 6
And number of bananas = 16 -x
                                        = 16 - 6
                                        = 10

Thus, the number of apples and bananas andrew and his children bought is 6 and 10 respectively.

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Answer:

- 4, - 1, 2, 5

Step-by-step explanation:

To find the range, simply substitute each of the domains into the function to get the y-values.

f(-2) = 3(-2) + 2

      = - 6 + 2

      = - 4

f(- 1) = 3(-1) + 2

       = - 3 + 2

       = - 1

f(0) = 3(0) + 2

     = 0 + 2

     = 2

f(1) = 3(1) + 2

    = 3 + 2

    = 5

The range is - 4, -1, 2, 5.

Question:

Are the lines in the diagram perpendicular, parallel, skew, or none of these?

Answer:

l and m:

none of these

l and n:

skew

m and n:

perpendicular

Answer:

l and m:

✔ none of these

l and n:

✔ skew

m and n:

✔ perpendicular

9000 + 4500 x n = 27000

4500 x n = 18000

n = 18000 : 4500

n = 4

4 months of work

Answer:

A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

it pretty much self explanatory

Answer:

4 2/3

Step-by-step explanation:

First do:

5/3x14/5=

5x14

--------

3x5

=70/15

=4 2/3

Answer:

5 tables

Step-by-step explanation:

3 = 24

1 = 24 ÷ 3 = 8

40 chairs = 40 ÷ 8 = 5

Hope this helps!

Answer:

5 tables

Step-by-step explanation:

3 * 8 = 24

5 * 8 = 40

7 * 8 = 56

8 * 8 = 64

Answer:

#2) 6,440 kilograms

The density of steel is 8,050 kilograms per cubic meter. A construction company is using a steel beam in the shape of a rectangular prism that measures 12 meters long, 1/5 of a meter wide, and 1/3 meter deep then the mass of the steel beam is 6,440 kilograms Option b.

To find the mass of a steel beam.  

Let's start by defining the variables we have:

- The density of steel, denoted by "ρ" (rho), is given as 8,050 kilograms per cubic meter (kg/m³).

- The dimensions of the steel beam are:

 - Length (L) = 12 meters (m)

 - Width (W) = 1/5 meter (m)

 - Depth (D) = 1/3 meter (m)

We want to find the mass (m) of the steel beam. The mass of an object can be calculated using its density and volume:

M = ρ [tex]\times V[/tex]

Here, "V" represents the volume of the steel beam. The volume of a rectangular prism (like the steel beam) is calculated as:

[tex]\[ V = L \times W \times D \][/tex]

Substitute the given values:

[tex]\[ V = 12 \, \text{m} \times \frac{1}{5} \, \text{m} \times \frac{1}{3} \, \text{m} \][/tex]

[tex]\[ V = 12 \, \text{m} \times \frac{1}{5} \times \frac{1}{3} \, \text{m} \][/tex]

[tex]\[ V = \frac{12}{5} \times \frac{1}{3} \, \text{m}^3 \][/tex]

[tex]\[ V = \frac{12}{15} \, \text{m}^3 \][/tex]

[tex]\[ V = \frac{4}{5} \, \text{m}^3 \][/tex]

Now that we have the volume, we can find the mass of the steel beam using the given density:

[tex]\[ m = 8,050 \, \text{kg/m}^3 \times \frac{4}{5} \, \text{m}^3 \][/tex]

[tex]\[ m = \frac{8,050 \times 4}{5} \, \text{kg} \][/tex]

[tex]\[ m = \frac{32,200}{5} \, \text{kg} \][/tex]

[tex]\[ m = 6,440 \, \text{kg} \][/tex]

After performing the calculations, we find that the mass of the steel beam is 6,440 kilograms. Therefore, the correct answer is option Option b 6,440 kilograms.

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Answer:

See below.

Step-by-step explanation:

5(a-b)

5(-4-(-2))

5(-4+2)

5(-2)

-10

-hope it helps

Answer:

∠ A ≈ 43.1°

Step-by-step explanation:

Using the Sine rule in Δ ABC , that is

[tex]\frac{a}{sinA}[/tex] = [tex]\frac{c}{sinC}[/tex] , substitute values

[tex]\frac{20}{sinA}[/tex] = [tex]\frac{29}{sin82}[/tex] ( cross- multiply )

29 × sinA = 20 × sin82 ( divide both sides by 29 )

sinA = [tex]\frac{20sin82}{29}[/tex] , thus

∠ A = [tex]sin^{-1}[/tex] ([tex]\frac{20sin82}{29}[/tex] ) ≈ 43.1° ( to 1 dec. place )

Answer:

I think its B. y is all real numbers.

Step-by-step explanation:

Sorry if that is incorrect

Answer:

[tex]\sqrt{x-3} = 3[/tex]

Step-by-step explanation:

Answer:

Given ,

Perimeter of square = 48 cm

In the question , it has been said that the square is cût into identical rectangles. Therefore ,

To find - Perimeter of each rectangle formed by cûtting the square into half.

[tex]\huge\red{ ★\:Aᥒsᥕᥱr -}[/tex]

[tex]\bold{perimeter \: of \: square = 48 \: cm} \\ \\\bold{ 4 \times side = 48 \: cm} \\ \\\bold{side = \cancel\frac{48}{4}} \\ \\ \fbox\blue{side\:of\:square= 12 \: cm}[/tex]

thus , as stated above ,

[tex]\bold{length \: of \: rectangle = 12 \: cm} \\\bold{ breadth \: of \: rectangle = \frac{12}{2} = 6 \: cm}[/tex]

Therefore ,

[tex]\bold{perimeter \: of \: rectangle = 2(l + b)} \\ = 2(12 + 6) \\ = 2(18) \\ \fbox\pink{Perimeter\:of\:rectangle\: = 36 \: cm}[/tex]

hope helpful ~

Answer:

a. Function

b. Function

c. Not a function

Step-by-step explanation:

Here is a basic rule to determine if a relation is a function of not:

1. A function has only one exact y-value (range) assigned to each x-value (domain).

2. A x-coordinate value is not repeated in a function, however, a y-coordinate value can be repeated. This means, the same y-value can be assigned to different x-values.

Bearing these in mind, let's label the given representation accordingly:

a. There is exactly one y-value assigned to each x-value, and also, no x-value is repeated. Therefore, it is a function.

b. The graph shows a repeating y-value, however, each x-value has exactly one y-value assigned to it. Therefore the graph represented is a function.

c. The table shows a repeating x-values. This is definitely not a function.

Answer:

It would be 1%