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IRISSAK [1]
3 years ago
13

After 8 examinations, Kacey's average was 55. Her next result increased her average to 60. What was the next score?

Mathematics
1 answer:
MatroZZZ [7]3 years ago
6 0

Multiply the average by the number of exams to find total points:

8 x 55 = 440

9 x 60 = 540

The score of the 9th exam is the difference between the two totals:

540 - 440 = 100

They scored a 100

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1<br> The coefficient of x2 in the expansion of 2x +1 by 3 whole square
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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

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n

=

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+

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+

n

(

n

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2

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(

n

−

1

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(

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:

6 0
3 years ago
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irina [24]

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What is the quotient of (3x4 – 4x2 + 8x – 1) ÷ (x – 2)?
Sveta_85 [38]

Answer:

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Step-by-step explanation:

Given value:

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Find:

quotient =?

please find the attachment.

6 0
3 years ago
Read 2 more answers
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