If the base of a rectangular prism has an area of 2x^2+3x sq in. The volume of the perimeter is 6x^3+13x^2+6x cubic in. Which expression represents the height of the prism in inches?

The answer to your question is 3x + 2

Step-by-step explanation:

Data

Area of the base = 2x² + 3x in²

Volume of the prism = 6x³ + 13x² + 6x in³

Height = ?

Process

1.- Divide the Volume of the prism by the area of the base to get the height

                                       3x   +    2

                     2x² + 3x   6x³  +  13x²  +  6x            

                                      -6x³  -    9x²

                                        0    +   4x²   +  6x

                                              -    2x²   -   6x

                                                     0          0

2.- Conclusion

The height of the rectangular prism is 3x + 2

part a

x     y

0     8

1     7.5

2     7

3     6.5

4     6

5     5.5  

for every hour i deducted .5 inches from the length of the candle

part b

it is a function because for every x value there is only one y value

part   c

for every x value there is only one y value

x       y

0       8

1       7.6

2       7.2

3       6.8

step-by-step explanation:

3. (5x + 1) - (-10x + 6)

simplify the answer choice. combine like terms. remember to distribute the negative to the terms inside the second parenthesis. also remember that two negatives = one positive, and one of each sign = negative.

- (-10x + 6) = + 10x - 6

simplify. combine like terms:

5x + 1 + 10x - 6

5x + 10x + 1 - 6

15x - 5

∴ it is your answer

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