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3 years ago

Is the fraction 1/3 equivalent to a terminating decimal or number that does not terminate

Mathematics

1 answer:

Licemer1 [7]3 years ago

3 0

Answer:

The fraction 1/3 is not equivalent to a a terminating decimal, the fraction is equivalent a number that does not terminate (repeating decimal)

Step-by-step explanation:

we know that

A terminating decimal it's a decimal with a finite number of digits.

A repeating decimal is a decimal that has a digit, or a block of digits, that repeat over and over and over again without ever ending

In this problem we have

1/3=0.33333333...

The digit 3 repeat over and over and over again without ever ending

therefore

The fraction 1/3 is not equivalent to a a terminating decimal, the fraction is equivalent a number that does not terminate (repeating decimal)

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Let A = {x : 2x² + 3x - 2 = 0} and B = {x : x² + 3x - 4 = 0 } find (A U B) × (A Π B)

ivann1987 [24]

Given :

A = {x: 2x² + 3x - 2 = 0 }
B = {x : x² + 3x - 4 = 0 }

To find :

(A U B ) × (A Π B )

Solution :-

The first set is ,

A ={x : 2x² + 3x - 2 = 0}

Solving the Quadratic equation ,

2x² + 3x - 2 = 0
2x² + 4x - x - 2 = 0
2x( x + 2) -1( x + 2 ) = 0
(2x -1) ( x + 2) = 0
x = 0.5 , -2

Hence ,

A ={0.5, -2}

The second set is ,

B ={ x :x² + 3x - 4 = 0 }

Solving the Quadratic equation ,

x² + 3x - 4 = 0
x² + 4x - x - 4 = 0
x( x + 4)-1 ( x +4) = 0
(x + 4) ( x -1) = 0
x = 1 , -4

Hence ,

B ={1,4}

Now ,

A U B = { 0.5 , 1 , 4 , -2}
A Π B = {∅ }

Since AΠ B is a null set , hence ,

A × B = {∅}

8 0

3 years ago

Use the distributed property to simplify the expression 6(x+4)+1

valkas [14]

Answer:

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Step-by-step explanation:

6(x + 4) + 1

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6x + 25

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Step-by-step explanation:

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