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nevsk [136]
1 year ago
8

Find the product 7/10 x 3/6 (please help!) fractions​

Mathematics
2 answers:
NeX [460]1 year ago
7 0

Answer:7/20

Step-by-step explanation:

7/10 * 3/6

7/10*3/6=7/20

21/60 divided by 3/3=7/20

So 7/10*3/6=7/20

hichkok12 [17]1 year ago
5 0

Answer:

7/10 x 3/6 = 21/60

21/60 in its simpliest form =  7/20

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The set notation of [-5,16) is?
valentina_108 [34]

Answer: \left\{x | x \in \mathbb{R}, \ -5 \le x < 16\right\}

=======================================================

Explanation:

We have some number x such that x is a real number, so we write that as x \in \mathbb{R} which is saying "x is in the real number set".

The portion -5 \le x < 16 is how x is restricted. This means x can be -5 or larger, but also must be smaller than 16.

This is from the interval notation [-5, 16). The square bracket means we include -5 as part of the interval, but we exclude 16 because of the curved parenthesis.

The curly braces surrounding everything indicates that we have a set of values.

-----------------

Side note:

If x is an integer, then we can get this roster set {-5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15} showing all of the integers between -5 and 16, including -5 but excluding 16.

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4 0
4 years ago
1<br> The coefficient of x2 in the expansion of 2x +1 by 3 whole square
posledela

Answer:

1 +6 x + 12 x 2 + 8x 3

Explanation:

We must use our knowledge of the binomial expansion:

Method 1:

We can use:

(

x

+

1

)

n

=

1

+

n

x

+

n

(

n

−

1

)

2

!

x

2

+

n

(

n

−

1

)

(

n

−

2

)

3

!

x

3

+

...

Substituting  

n

=

3

and  

x

for  

2

x

 

⇒

(

2

x

+

1

)

3

=

1

+

(

3

⋅

2

x

)

+

3

⋅

2

2

!

⋅

(

2

x

)

2

+

3

⋅

2

⋅

1

3

!

⋅

(

2

x

)

3

 

=

1

+

6

x

+

12

x

2

+

8

x

3

Method 2:

We can use:

(

A

+

B

)

n

=

A

n

+

(

n

1

)

A

n

−

1

B

1

+

(

n

2

)

A

n

−

2

B

2

+

...

Letting  

A

=

2

x

and

B

=

1

for this circumstance:

(

2

x

+

1

)

3

=

(

2

x

)

3

+

(

3

1

)

(

2

x

)

2

(

1

)

+

(

3

2

)

(

2

x

)

1

(

1

)

2

+

(

3

3

)

(

2

x

)

0

(

1

)

3

=

8

x

3

+

12

x

2

+

6

x

+

1

Step-by-step explanation:

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