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Setler [38]
3 years ago
15

The volume of a rectangular prism is (x{3} – 3x{2} + 5x – 3), and the area of its base is (x{2} – 2). If the volume of a rectang

ular prism is the product of its base area and height, what is the height of the prism?
Mathematics
2 answers:
ikadub [295]3 years ago
7 0

Answer:

A)x-3 + 7x-9/x^2-2

Step-by-step explanation:

Gemiola [76]3 years ago
6 0

Answer:

x³ - 3x² + 5x - 3 / x² - 2

Step-by-step explanation:

Given in the question,

volume of a rectangular prism = x³ - 3x² + 5x - 3

base area of a rectangular prism = x² - 2

Formula for the volume of prism

V = BA x H

here BA is base area

         H is height

Formula for the height of prism

H = V / BA

plug values in the formula

x³ - 3x² + 5x - 3 / x² - 2

We will do long division

           x - 1

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

x² - 2 | x³ - 3x² + 5x - 3

           x³ - 2x²

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

                 -x² + 5x - 3

                 -x²         + 2

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

                         5x - 5  

The remainder indicates that x³ - 3x² + 5x - 3 is not divisible by x² - 2, and that means that you cannot find the exact height.

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serious [3.7K]

Answer:

The average rate of change is:

\frac{13}{161}

Step-by-step explanation:

The rational function given to us is;

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f(0)=\frac{3(0)+4}{2(0)+7}

f(0)=\frac{4}{7}

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f(0)=\frac{28}{23}=1

The average rate of change of this function from x=0 to x=8  is the slope of the secant line connecting:

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Average rate of change ==\frac{f(8)-f(0)}{8-0}

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3 years ago
U(8, 9) and V(2, 5) are the endpoints of a line segment. What is the midpoint M of that line segment?
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Answer:

The midpoint M is (5,7)

Step-by-step explanation:

m = ( \frac{x1 + x2}{2} , \frac{y1  + y2}{2} )

U(8,9)

V(2,5)

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nata0808 [166]

Answer:

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Step-by-step explanation:

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Answer:

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egoroff_w [7]

Step-by-step explanation:

multiple possibilities.

e.g.

we could use Pythagoras to get QR, and then use the law of sine to get angle P.

or we can use the law of sine to get angle R, and then use the rule that the sum of all angles in a triangle is always 180° to get angle P.

I propose the second option :

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P = 54.06935309...°

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