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PLEASE HELP THIS IS MY FIRST QUESTION!! 100 POINTS

PLEASE HELP THIS IS MY FIRST QUESTION!! 100 POINTS-example-1
User Clearer
by
5.1k points

2 Answers

9 votes

Answer:

x - 4

Explanation:

User Fengzhi Zhou
by
5.0k points
5 votes

Answer:

  • x - 4

Explanation:

  • V(x) = x³ - 8x² + 19x - 12

The two of the dimensions given

  • (x - 1) and (x - 3)

and the third one is

  • x + a

Multiply the three dimensions to get the volume:

  • (x - 1)(x - 3)(x + a) =
  • (x² - 4x + 3)(x + a) =
  • x³ - 4x² + 3x + ax² - 4ax + 3a =
  • x³ - (4 - a)x² + (3 - 4a)x + 3a

Comparing with the given function, we get a = - 4

So the missing dimension is:

  • x - 4
User Fulatoro
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5.3k points