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earnstyle [38]
3 years ago
5

Suppose you know that the volume of the following prism is represent by V(x) = -2x^3 + 14x^2 + 120x.

Mathematics
1 answer:
erastova [34]3 years ago
8 0

Step-by-step explanation:

-2x³ + 14x² + 120x

= -2x(x² - 7x - 60)

= -2x(x - 12)(x + 5).

The other 2 dimensions are -2x and (x + 5).

When using a graphing calculator to maximise the volume of the prism, we get x = 7.378. However this value is not reasonable as it makes -2x and (x - 12) negative, which are the sides of the prism.

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3 years ago
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jeka57 [31]

The Answer

LCD = 12

Equivalent Fractions with the LCD

2/3 = 8/12

3/4 = 9/12

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Solution:

Rewriting input as fractions if necessary:

2/3, 3/4, 1/2

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LCM(3, 4, 2)

Therefore, the least common denominator (LCD) is 12.

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3/4 = 3/4 × 3/3 = 9/12

1/2 = 1/2 × 6/6 = 6/12

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6 0
3 years ago
PPLEASE HELP WILL MARK IF CORRECT
qaws [65]

Answer:

f(5) = 2

Step-by-step explanation:

it says to use the function (-x+3) for when x is bigger than 2

f(x) = (-x) + 3 replace x with 5

f(5) = (-5) + 3 and f(5) = 2

8 0
3 years ago
Read 2 more answers
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