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Tju [1.3M]
3 years ago
13

the volume of a rectangular prism is represented by the function x3+6x-16. the length of the box is x + 2 , while the height is

x + 8. find the expression repressing the width of the box
Mathematics
1 answer:
Zinaida [17]3 years ago
7 0
X^2+6x-16= volume
LWH=volume
(x+2)W(x+8)=x^2+6x-16
W=(x^2+6x-16)/[(x+8)(x+2)]=[(x+8)(x-2)]/{(x+8)(x+2)}=
W=(x-2)/(x+2)


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Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

<em />\displaystyle 3^{6x + 18} < 27^{3x}<em />

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<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Rewrite:                                                                                                             \displaystyle 3^{6x + 18} < 3^{3(3x)}
  2. Set:                                                                                                                     \displaystyle 6x + 18 < 3(3x)
  3. Factor:                                                                                                               \displaystyle 3(2x + 6) < 3(3x)
  4. [Division Property of Equality] Divide 3 on both sides:                                  \displaystyle 2x + 6 < 3x
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  6. [Subtraction Property of Equality] Subtract 6 on both sides:                        \displaystyle -x < -6
  7. [Division Property of Equality] Divide -1 on both sides:                                 \displaystyle x > 6
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