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Alinara [238K]
3 years ago
14

Simplify the following rational expression.

Mathematics
1 answer:
Mekhanik [1.2K]3 years ago
7 0

Answer:

z=-8 and z=8

Step-by-step explanation:

A rational expression  is undefined when its denominator is equal to zero, so our expression is undefined when z^2-64=0. Solving for z, we get

z^2=64\\\sqrt{z^2}=\pm\sqrt{64}\\ z=\pm8

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Solve equations show all steps 1. 2x-10=44+8x 2. 7x-4=20=3x 3. 2(x-3)=-20 4. 15-4x+5=32
Inga [223]

Answer:

2x - 10 = 44 + 8x

7x - 4 = 20 =3x

2(x-3) = -20

15 - 4x + 5 = 32

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    2*x-10-(44+8*x)=0

Pull out like factors :

  -6x - 54  =   -6 • (x + 9)

  -6   =  0

 Solve  :    x+9 = 0

Subtract  9  from both sides of the equation :

                     x = -9

x = -9

Move all terms containing

x

to the left side of the equation.

4

x

−

4

=

20

Move all terms not containing

x

to the right side of the equation.

4

x

=

24

divide each term by 4

x = 6

2(x−3)=−20

Step 1: Simplify both sides of the equation.

2(x−3)=−20

2x−6=−20

Step 2: Add 6 to both sides.

2x−6+6=−20+6

2x=−14

Step 3: Divide both sides by 2.

2x

2

=

−14

2

x=−7

−4x+20=32

Step 2: Subtract 20 from both sides.

−4x+20−20=32−20

−4x=12

Step 3: Divide both sides by -4.

−4x

−4

=

12

−4

x=−3

4 0
2 years ago
What is the sum of <br> 4 1/2 + 1 3/5 in simplest form ?
olga2289 [7]

Answer:

Step-by-step explanation:

Convert the mixed numbers to improper fractions, then find the LCD and combine.

Exact Form:

61 /  10

 

Decimal Form:

6.1  

Mixed Number Form:

6 1/10  

6 0
3 years ago
8 less than 1/3 a number n is -13
AysviL [449]
Let's set up an equation.

so we know the answer is -13.
1/3 of a number (our variable) can be written as 1/3n.
8 less than that would be subtracting 1/3n by 8

so we have -13 = 1/3n - 8.

To solve:
Add 8 to both sides: -5 = 1/3n
Multiply both sides by 3 (to cancel fraction): -15 = n

You can check by plugging -15 into the equation we made.
7 0
2 years ago
how much wrapping paper would you need to cover a rectangular that is 18.25 inches by 12inches by 3 inches if you need 10% more
natita [175]

Answer: 681 square inch

Step-by-step explanation:

Hi, we have to apply the formula for the surface area:

A = 2wl + 2lh + 2hw

Where:

w: width

l: length

h: height

Replacing with the values given:

A = (2x12x18.25) + (2x12x3)+(2x18.25x3)

A= 438+72+109.25

A=619.5 in2

Since it has to be 10% more than the surface.

619.5 x (10/100) = 61.95 in2

Adding that value to the surface area

619.5+61.95 = 681.45in2 = 681 in2

4 0
2 years ago
K12 math work need help MARK CROWN JUST NEED HELP
VladimirAG [237]

Answer:

60

Step-by-step explanation:

9 ÷ 15 = 0.6

Move decimal 2 places 0.6 -> 60

7 0
2 years ago
Read 2 more answers
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