The formula for the volume of this rectangular prism is:

V = x 3 + 5x 2 - 4x - 20

The length is x+5; the width is x+2; the height is unknown. Find an expression for the height.

Show all steps of your work for full credit.

Answers

Answer 1

Answer:

Step-by-step explanation: Explanation:

If

L

,

H

and

W

represent the length, height and width of the prism, then the volume of the rectangular prism is :

V

=

L

.

H

.

W

............. (1)

Given :

V

=

x

3

+

11

x

2

+

20

x

32

;

............... (2)

W

=

(

x

1

)

;

   

H

=

(

x

+

8

)

.

Let

L

=

(

x

+

l

0

)

be the expression for the length, then the RHS of equation (1) becomes

L

.

H

.

W

=

(

x

l

0

)

(

x

+

8

)

(

x

1

)

,

   

   

   

   

=

(

x

+

l

0

)

(

x

2

+

7

x

8

)

   

   

   

   

=

(

x

+

l

0

)

(

x

2

+

7

x

8

)

   

   

   

   

=

x

3

+

(

7

+

l

0

)

x

2

+

(

7

l

0

8

)

x

8

l

0

..... (3)

Comparing this to the LHS of equation (1), we get the following set of equations to solve for

l

0

,

7

+

l

0

=

11

;

   

7

l

0

8

=

20

;

   

8

l

0

=

32

;

l

0

=

4

Therefore

L

=

(

x

+

4

)


Related Questions

a coach on a motorway is travelling at a constant speed . in ten minutes it travels 16 kilometer

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20 minutes
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30 minutes

50 minutes

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Answers

Step-by-step explanation:

10 minutes= 16km

20 minutes= 16x2 = 32km

30 minutes= 16x3 = 48km

50 minutes= 16x5 = 80km

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answer:

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Answer:

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Answers

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Step-by-step explanation:

Given that distance = Rate x time

Distance traveled by Particle= 9.0×10^12 meters

and rate= 1.8×105 meters per second

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Answers

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Answers

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y
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Answers

Answer:

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Step-by-step explanation:

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\frac{x}{300} \geq 15
300
x

≥15


15x \leq 30015x≤300


\frac{x}{300} \leq 15
300
x

≤15

Answers

Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answers

Answer: -2.4f-18

Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

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Answers

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→   (P + T ) x + (Q + U ) y = R + V

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

The kind of hypothesis testing we can use is z-test for means

Step-by-step explanation:

Given that;

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Answers

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Answers

Answer:

Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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The Celsius scale is devised so that 0° C is the freezing point of water (at 1 atmosphere of pressure) and 100°C is the boiling point of water (at 1 atmosphere of pressure). If you are more familiar with the Fahrenheit scale, then you know that water freezes at 32°F and boils at 212° F. The linear equation that relates temperature r measured in degrees Celsius and temperature y measured in degrees Fahrenheit is​

Answers

Answer:

[tex]r=\frac{5}{9}(y-32)[/tex]

Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

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Answer:

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Step-by-step explanation:

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Answers

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Question 2 options:

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6 × 9 = 9 × 6


6 × (9 + 8) = (6 × 9) + (6 × 8)


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Answers

Answer:

c) 6× (9+8) = (6 × 9) + (6× 8)

Step-by-step explanation:

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