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Answer:g(x) = (x+3)/(x2-4)

The domain refers to all of the x values that the function can take on.  In a rational expression like the one above, we have to be careful that the denominator is never 0, since division by 0 is undefined.  We can factor the denominator of g(x) as follows:

g(x) = (x+3)/((x+2)(x-2)

The denominator will be zero when x = 2 or -2.  Otherwise, g(x) is defined on all other values of x.  So the domain of g(x) is "x = all x not equal to -2 or 2".  In interval notation, the domain is:

(-∞,-2)U(-2,2)U(2,+∞)

On a number line, draw it as follows:

-∞ <======o=====o=======> +∞

                   -2            2

Step-by-step explanation:

Answer:

=7

Step-by-step explanation:

= -8+(-5)+9+11

= -8-5+20

= -13+20

= 7

Answer:

you are correct

Step-by-step explanation:

5 - 2(x + 2)

Since parenthesis comes first in PEMDAS, distribute 2

5 - 2x - 4 = 1 - 2x

Answer:

It's 30.7%

Step-by-Step Explanation:

Answer:

50m

Step-by-step explanation:

5500cm=550m

Area=length*width

550=length*11

length=550/11=50

Answer:

70

Step-by-step explanation:

Replace p with 5.7.

7 (4.3 + p) = 7 (4.3 + 5.7)

                = 7 (10)

                = 70

Answer:

4.3 + 5.7 = 10

7 * 10 = 70

Hence, 70 is the answer

Hope it helps

Please mark me as the brainliest

Thank you

Answer:

D) 2 and 7

Step-by-step explanation:

x+y=9

x-y=5

----------

2x=14

x=14/2=7

7+y=9

y=9-7=2

Step-by-step explanation:

The area that cow can graze is in the form of semicircle.

Radius of semicircle

Length of rope =14 m

Required area = 1/2 ×πr

=1/2×22/7×r^2

=1/2×22/7×14×14

=308m2

Step-by-step explanation:

6 = 3(-1) +9 yes this is true

5(-1) +6 = 1 Yes this is true

so yes it's a solution because it works in both equations.

Answer:

20%└|∵|┐♪└|∵|┐♪└|∵|┐♪└|∵|┐♪

Step-by-step explanation:

denada ┌(・。・)┘♪

Answer:

20%

Step-by-step explanation:

Answer:

(6,0)

Step-by-step explanation:

If the y-coordinate is 0, it is lying on the x-axis

Same with the x-coordinate. If it is 0, it is lying on the y-axis

Answer:

alensdkhvabroefsljndfs

Step-by-step explanation:

Answer:

I don't know. I am sorry

Step-by-step explanation:

Answer:

34.9x+10

Step-by-step explanation:

Answer: solve for X

{

y=0,

y∈R,

​

x



=−1

x=0

​

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

3n=3(n)

ur replcing n with 2

3(2)=3x2

3x2=6

Answer:

6

Step-by-step explanation:

3n means you are multiplying 3 and n. since n = 2, the only thing you need to do is plug in 2 for n and then simplify by multiplying 3 · 2.

plug in 2 for n:

3n ⇒ 3(2)

multiply 3(2):

3(2) = 6

therefore, when n = 2, 3n = 6.

Answer:

Step-by-step explanation:

1. 26/169 = 2/13

2. 36/78= 6/13

Answer:

-9.8n + 10.9

Step-by-step explanation:

2.9 + 8 = 10.9

-4n + -5.8n = -9.8n

Answer:

2.82842712475

Step-by-step explanation:

when you square 2.82842712475 your answer is 8 so the number above Is answer

Answer:

8 = 64 √8 = 2.828

Step-by-step explanation:

√8 = √(4 * 2) = √4 * √2 = 2√2 ≈ 2.828427.

Hope this helps you!

Answer:

Step-by-step explanation:

Car 2 is traveling faster than Car 1. Option B is correct.

Given that,
The table and equation below show the proportional relationship between time, in seconds, x, and distance traveled, in feet, y, for two remote-control cars.

Speed is defined as when an object is in motion, the distance covered by that object per unit of time is called speed.

here,
Speed of the car 1,
= 85 - 75 / 17 - 15
= 10 / 2
= 5 feet/second

Speed of the car 2,
y = 10x
Where 10 is the speed of the car 2 feet per second.
So,
Speed of the car 2  is faster than car 1.

Thus,  Car 2 is traveling faster than Car 1. Option B is correct.

Learn more about speed here:
https://brainly.com/question/7359669

#SPJ5

Answer:

[tex]x =\± \frac{2\sqrt{6}}{7}[/tex]

Step-by-step explanation:

The question has missing details as the unit circle is not shown, However, I'll solve on a general terms.

Given

[tex]P = (x,-\frac{5}{7})[/tex]

Required

Determine the possible value of x

Since point p lies on the unit circle, we'll solve this question using the following unit circle formula:

[tex]x^2 + y^2 = 1[/tex]

Substitute -5/7 for y

[tex]x^2 + (-\frac{5}{7})^2 = 1[/tex]

[tex]x^2 + \frac{25}{49} = 1[/tex]

Collect Like Terms

[tex]x^2 =1- \frac{25}{49}[/tex]

Take LCM

[tex]x^2 =\frac{49 -25}{49}[/tex]

[tex]x^2 =\frac{24}{49}[/tex]

Take the square root of both sides

[tex]x =\± \sqrt{\frac{24}{49}}[/tex]

[tex]x = \±\frac{\sqrt{24}}{7}[/tex]

[tex]x = \±\frac{\sqrt{4*6}}{7}[/tex]

Split

[tex]x = \±\frac{\sqrt{4}*\sqrt{6}}{7}[/tex]

[tex]x =\± \frac{2*\sqrt{6}}{7}[/tex]

[tex]x =\± \frac{2\sqrt{6}}{7}[/tex]

Answer:

hello! :) have a good day!

C). 24x + 48

Answer:

c

Step-by-step explanation:

4(6x+12)

4(6x)+4(12)

24x+48

Answer:

Transfer of electrons

Form Crystals

High boiling & melting points

Dissolve in water

Good conductor of electricity

Answer:

The answer would be A. (3,0)

Answer:

15

Step-by-step explanation:

To find the slope, we use the slope formula

m = ( y2-y1)/(x2-x1)

    = ( 75-45)/( 5-3)

    = 30/2

    = 15

Answer:

36/5 or 7 1/5 or 7.2

(These are all different forms of the same answer)

Method:

2 1/4 = 9/4

3 1/5 = 16/5

9/4 × 16/5 = 144/20

144/20 = 36/5

Answer:

Step-by-step explanation:

Add the 21 then divide by 2

Answer:

x = 16, x = -7

Step-by-step explanation:

The question is;

35 * 4 = ( x - 7 ) ( x - 3 )

Combine like terms on one side;

140 = ( x - 7 ) ( x - 3 )

Distribute, remember to multiply every term with one another;

140 = [tex]x^{2}[/tex] - 3x - 7x + 21

Combine like terms;

140 = [tex]x^{2}[/tex] - 10x + 21

Inverse operations;

140 = [tex]x^{2}[/tex] - 10x + 21

-21                  -21

119 = [tex]x^{2}[/tex] - 10x

Factor;

119 = x ( x - 10 )

At this point it is fairly obvious that;

x = 16, x = -7

Note; One could have used a multitude of methods to solve this problem, one could have factored, completed the square, or used the quadratic formula, this method was simply chosen because it is easy to explain

Answer:

25x+295

Step-by-step explanation:

-12x-5x+32x=25x

-15+310=295

Answer:

-4x + 1/10

Step-by-step explanation:

Because I did the test. hope you have a lovley day at K12

Answer:

82°

Step-by-step explanation:

[tex] \triangle ABC\sim \triangle PQR... (given) [/tex]

[tex] \therefore m \angle Q = m \angle B... (cast) [/tex]

Therefore,

8x + 50 = 3x + 70

8x - 3x = 70 - 50

5x = 20

x = 20/5

x = 4

[tex] m \angle Q [/tex] = 8x + 50 = 8*4 + 50 = 32 + 50 = 82°