Simplify the rational expression x^2-4/x^2+5x+6. State any restrictions on the variable.

Answer:

B

Step-by-step explanation:

120+4x-12=180, 4x+108=180,4x=72, x=18

4x-12=120

4x-12+12= 120+12

4x= 132

divide by 4 for 4x and 132

4x/4= 132/4

x= 33

check answer by using substitution method

4x-12=120

4(33)-12= 120

132-12= 120

120= 120

Answer is x= 33 (D.)

Answer:$41,000

Step-by-step explanation:

Answer:

least likely option comes out to be option D.

Step-by-step explanation:

correct answer is option D.

As in the question it is given that the average salary of one group is  $53,000.

and,

it is also stated that the  sampling variability is very low which means the deviation from the mean will be very low .

when look at the options all the option A , B , C  are very much closer to $53,000 and the only option left is $41,000 which is very much deviated

hence,the least likely option comes out to be option D.

Hello There!

8n =56

Remember when a variable is next to a number that means multiply so we know that multiply 8 by some number is equal to 56.

Using our multiplication facts.

8*7=56

So that means N = 7

Answer:

7

Step-by-step explanation:

Divide each term by 8 and simplify

Answer:

[tex]x=-\frac{3}{5}[/tex]

Step-by-step explanation:

[tex]-4(x+1)-3=(x-4) \\ \\ -4x-4-3=x-4 \\ \\ -4x-7=x-4 \\ \\ -7=5x-4 \\ \\ 5x=-3 \\ \\ x=-\frac{3}{5}[/tex]

- 4 ( x + 1) - 3 = ( x - 4)

    2. Take away the parenthesis at the end

    3. Combine like terms

    4.  Add 4x to each side

    5. Add 4 to each side

    6.  Divide

[tex]1\text{cm}=1\cdot10^{-2}\text{m}=10^{-2}\text{m}[/tex]

Answer:

Step-by-step explanation:

1 cm = 10 mm = 0.01 m = 0.00001 km

NO!

3+3 > 9

This does not form a triangle.

I think it’s C. 4^16,

Answer:

Option B is correct

Step-by-step explanation:

We need to solve the equation 3x^2 = 18 3/4 to find the value of x

3x^2 = 18 3/4

Converting mixed fraction into fraction form

3x^2 = 75/4

Dividing both sides by 3

3x^2/3 = 75/4*3

x^2 = 75/12 (dividing numerator and denominator by 3 which is common factor)

x^2 = 25/4

Taking square root on both sides to find value of x

√x^2 = √25/4

x = ± 5/2

x = ± 2 1/2

So, Option B is correct.

Answer:

Step-by-step explanation:

2x+x+3(2x)=63

3x+6x=63

9x=63

9x/9=63/9

X=7

2x=14

3(2x)=42

Answer:

(x + 7) or (x - 2)

Step-by-step explanation:

Given

x² + 5x - 14

Consider the factors of the constant term (- 14) which sum to give the coefficient of the x- term (+ 5)

The factors are + 7 and - 2, since

7 × - 2 = - 14 and 7 - 2 = + 5, hence

x² + 5x - 14 = (x + 7)(x - 2)

Answer:

b = 8

Step-by-step explanation:

Given  : A triangle with side a= 12 , b = 6.33 and angles.

To find : What is the value of b in this diagam.

Solution : We have given that side a= 12 , b = 6.33

Angle A = 113.17

Angle B = 37.81 .

By the sin law: [tex]\frac{b}{sin B} =\frac{a}{sin A}[/tex].

[tex]\frac{b}{sin( 37.81)} =\frac{12}{sin( 113.17)}[/tex].

[tex]\frac{b}{0.613} =\frac{12}{0.919}[/tex].

On cross multiplication

b * 0.919 = 12 * 0.613 .

b * 0.919 = 7 .356

On dividing by 0.919

b = 8.004

Therefore, b = 8.

Answer:

B=8

Step-by-step explanation:

Answer:

Where is month 3 I will comment the answer if there is a graph or table to know!!! For house for economics. Sorry I don't understand...

Step-by-step explanation:

Answer:

Last year

Step-by-step explanation:

The question is:

Which year had a decrease in profit between months 3 and 4?

The answer is last year

I hope this helps!

Answer:

this gives you 144.5cm^2 and that is your answer

I hope my answer has come to your helpanswerStep-by-step explanation:

The area of the given figure is Option(C) 144.5 square centimeter.

In the diagram given aside, two shapes are mentioned one is a rectangle and other is a right-angled triangle.

The area of the rectangle is given by -  length*breadth

The area of the right-angled triangle is given by -  1/2*base*height

In the given figure, length = 13cm , breadth = 9cm , base = 11cm and height = 5cm

⇒ Total area = length*breadth + 1/2*base*height

⇒ Total area = 13*9 + 1/2*11*5 square centimeter

⇒ Total area = 117 + 27.5 square centimeter

∴  Total area = 144.5 square centimeter

Therefore, the area of the given figure is Option(C) 144.5 square centimeter.

To learn more about area of figure, refer -

https://brainly.com/question/1090412

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Answer:

[tex]\left[\begin{array}{cc}0&-1\\-1&0\\-1&-1\end{array}\right][/tex]

Step-by-step explanation:

In this question we have to subtract the corresponding entries of column of matrix 1 and the matrix 2 corresponding entries

[tex]=\left[\begin{array}{cc}-1&0\\1&-2\\1&3\end{array}\right]-\left[\begin{array}{cc}-1&1\\2&-2\\2&4\end{array}\right] \\=\left[\begin{array}{cc}-1-(-1)&0-1\\1-2&-2-(-2)\\1-2&3-4\end{array}\right]\\=\left[\begin{array}{cc}-1+1&-1\\-1&-2+2\\-1&-1\end{array}\right]\\=\left[\begin{array}{cc}0&-1\\-1&0\\-1&-1\end{array}\right][/tex]

Answer:

x = -1

y = 6

Step-by-step explanation:

Equation (1) : -4x + 2y = 8

Equation (2) : 4x + 4y = 28​

(1) + (2):

6y = 36

y = 6

Sub y = 6 into (1):

-4x + 2(6) = 8

-4x + 12 = 8

-4x = -4

x = -1

Answer:

66.6%

Step-by-step explanation:

Answer:

1) Second option:  [tex]y=0.25x+2[/tex]

2) Third option: $14,500

Step-by-step explanation:

1) The equation of the line in Slope-intercept form is:

[tex]y=mx+b[/tex]

Where m is the slope and b is the y-intercept.

You know the point (20,7) of the line and you can observe in the graph that the y-intercept is:

[tex]b=2[/tex]

Then, you can substitute these values into the equation  [tex]y=mx+b[/tex]

and solve for the slope "m":

[tex]7=m(20)+2\\\\7-2=20m\\\\m=\frac{5}{20}\\\\m=0.25[/tex]

Therefore, the equation of this line is:

[tex]y=0.25x+2[/tex]

2) To calculate the total cost of producing 50 engines, you need to substitute [tex]x=50[/tex] into the equation of the line  [tex]y=0.25x+2[/tex]. Then you get:

 [tex]y=0.25(50)+2[/tex]

 [tex]y=0.25x+2[/tex]

 [tex]y=14.5[/tex]

Since the y-axis represents the total cost "y" in thousands of dollar, then the total cost of producing 50 engines is:

$14,500

it is the second one

Answer: Hypothesis: Two lines intersect at right angles.

Conclusion: The two lines are not perpendicular.

Step-by-step explanation:

A conditional statement is written as "if p then q" , where symbol 'p' represents the hypothesis and symbol 'q' represents the conclusion.

For example : If a coin has two heads , then the coin is biased.

here , Hypothesis : a coin has two heads

Conclusion : coin is biased

Given conditional statement : If two lines intersect at right angles, then the two lines are perpendicular.

Here, Hypothesis: Two lines intersect at right angles.

Conclusion: The two lines are not perpendicular.

Answer:

B

Step-by-step explanation:

The digit 6 in Andrew's number is worth 10 times less than the digit six in the other number. This means that the six will be shifted over one place to the left. The only number with a 6 in that position is B, 462,017.

It's B that's correct.

In 186425, the 6 is 6 thousands or 6000

Twice that amount has to be a digit in the ten thousands place.

When you check the choices, you'll see that the number 462, 017 is exactly 10 times of the value digit 6 of Andrew's number

Answer:

I think the awnser should be a.

Step-by-step explanation:

This is because people usally find interests in things that percieve them. Since I am in freshmen I can tell how you feel. If you want to be a leader make choices that affect people personally, and don't make them feel bad.

Answer:

A is the answer.

Step-by-step explanation:

If a high school sophomore randomly declares himself a leader to his classmates, he will have difficulty finding people who will listen to him.

This is because - People are less likely to obey people that are just like themselves.

People are more likely to obey someone who represents authority. This cannot be the answer as the kid has not been declared authority by the school or he is not elected by the students. A random kid self electing himself will not be taken seriously by the kids.

So, option A can be the answer.

Answer:

c = 55

Step-by-step explanation:

Answer:

55

Step-by-step explanation:

I did this and it was correct please vote me as brainlies!

Hope this helped! :)

Answer:

Step-by-step explanation:

The zeros:

(x + 2)(x - 4) = 0 ⇔ x + 2 = 0 or x - 4 = 0

x + 2 = 0          subtract 2 from both sides

x = -2

x - 4 = 0          add 4 to both sides

x = 4

Answer:

[tex]\large\boxed{\dfrac{4}{\sqrt{10}-\sqrt6}=\sqrt{10}+\sqrt6}[/tex]

Step-by-step explanation:

[tex]\dfrac{4}{\sqrt{10}-\sqrt6}\\\\\text{use}\ (a-b)(a+b)=a^2-b^2\ \text{and}\ (\sqrt{a})^2=a\\\\=\dfrac{4}{\sqrt{10}-\sqrt6}\cdot\dfrac{\sqrt{10}+\sqrt6}{\sqrt{10}+\sqrt6}=\dfrac{4(\sqrt{10}+\sqrt6)}{(\sqrt{10})^2-(\sqrt6)^2}=\dfrac{4(\sqrt{10}+\sqrt6)}{10-6}\\\\=\dfrac{4(\sqrt{10}+\sqrt6)}{4}=\sqrt{10}+\sqrt6[/tex]

The rationalization of the given expression will be equal to

[tex]\dfrac{4}{\sqrt{10}-\sqrt{6}}=\sqrt{10}+\sqrt{6}[/tex]

Rationalization is a procedure used in elementary mathematics to remove the irrational number from the denominator.

The rationalization of the given fraction will be :-

[tex]=\dfrac{4}{\sqrt{10}-\sqrt{6}}\times \dfrac{\sqrt{10}+\sqrt{6}}{\sqrt{10}+\sqrt{6}}[/tex]

[tex]\dfrac{4\sqrt{10}+\sqrt{6}}{\sqrt{10}^2-\sqrt{6}^2}=\dfrac{4\sqrt{10}+\sqrt{6}}{10-6}[/tex]

[tex]\dfrac{4\sqrt{10}+\sqrt{6}}{\sqrt{10}^2-\sqrt{6}^2} =\dfrac{4\sqrt{10}+\sqrt{6}}{4}=\sqrt{10}+\sqrt{6}[/tex]

Hence rationalization of the given expression will be equal to

[tex]\dfrac{4}{\sqrt{10}-\sqrt{6}}=\sqrt{10}+\sqrt{6}[/tex]

To know more about rationalization follow

https://brainly.com/question/14261303

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Answer:

AD||BC

Step-by-step explanation:

Given:

m∠3=m∠B

And if a traversal cuts two lines such that the corresponding angles are equal then the lines are parallel

Hence the lines AD and BC are parallel

AD||BC !

Answer: 1/4

Step-by-step explanation: 1/4 x 1/4= 1/16

The input value is the x value, and the output value is the y value.

You know y = 5, so you can plug it into the function to find the input:

y = x - 3         Plug in 5 for y

5 = x - 3      Add 3 on both sides

5 + 3 = x - 3 + 3

8 = x

Answer:

8

Step-by-step explanation:

y= x -3

to get the Anwer I got i Subtracted

Because the output value is supposed to be five so?

5= x-3

Well  2 does get 5 if you add 2+ 3 together!

but if you subtract 3 -2 you get 1..

and 5 - 3 = 2 not 5

and adding 8 + 3 is 11 but subtracting it is 5!

which is

5= 8 - 3

Answer:

y = 6x - 40

Step-by-step explanation:

The answer is C. X^2-6x+9

Answer:

C. [tex]x^2-6x+9[/tex]

Step-by-step explanation:

We have the expression [tex](x-3)^2[/tex] we can rewrite it as:

[tex](x-3)^2=(x-3)(x-3)[/tex] and solve it with distributive property or we can use the formula to multiply a binomial by itself. The formula is:

[tex](a+b)^2=a^2+2ab+b^2[/tex]

or

[tex](a-b)^2=a^2-2ab+b^2[/tex]

Then:

[tex](x-3)^2=x^2-2.x.3+3^2\\(x-3)^2=x^2-6x+9[/tex]

The correct option is C. [tex]x^2-6x+9[/tex]

Answer:

Herbivore

Step-by-step explanation:

The mouse isnt a producer because he cannot make his own food

The mouse isnt a carnivore because he isnt eating meat

The mouse isnt a decomposer because he isnt breaking down dead or decaying organisms

Herbivores are animals that eat vegetables or greens/plants but not meat.

Answer:

herbivore

Step-by-step explanation:

Answer:

B

Step-by-step explanation: