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vredina [299]
3 years ago
10

the diameter of a tree varies directly with its age. A 15-year old tree has a 3.75 in diameter. How old will the tree be when it

has a 20 in diameter?
Mathematics
1 answer:
dlinn [17]3 years ago
5 0

Answer:

x=15*25/3.75

x=100

tree is 100y old

Step-by-step explanation:

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Answer:

The volume of a rectangular prism is simply the product of its three dimensions: in your case, the volume of the prism is, given  

x

,

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x

+

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(

x

+

6

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(

x

−

2

)

)

(

x

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1

)

=

(

x

2

−

2

x

+

6

x

−

12

)

(

x

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1

)

=

(

x

2

+

4

x

−

12

)

(

x

−

1

)

=

x

3

+

4

x

2

−

12

x

−

x

2

−

4

x

+

12

=

x

3

+

3

x

2

−

16

x

+

12

Which is a polynomial, and expresses the volume of the prism

Step-by-step explanation:

The volume of a rectangular prism is simply the product of its three dimensions: in your case, the volume of the prism is, given  

x

,

(

x

+

6

)

(

x

−

2

)

(

x

−

1

)

.

A polynomial is a sum (with some coefficients) of powers of  

x

, so, if we expand the product just written, we have

(

(

x

+

6

)

(

x

−

2

)

)

(

x

−

1

)

=

(

x

2

−

2

x

+

6

x

−

12

)

(

x

−

1

)

=

(

x

2

+

4

x

−

12

)

(

x

−

1

)

=

x

3

+

4

x

2

−

12

x

−

x

2

−

4

x

+

12

=

x

3

+

3

x

2

−

16

x

+

12

Which is a polynomial, and expresses the volume of the prism

3 0
3 years ago
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