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sasho [114]
3 years ago
15

6x^2 - 9x - 6 function

Mathematics
1 answer:
34kurt3 years ago
8 0

Answer:

yes

Step-by-step explanation:

f(x) = 6x² - 9x - 6        =   2x² - 3x - 2      

    =  (x + 0.5)(2x - 4)  

    =  [2x² - 4x] + [0.5(2x) + 0.5(-4)]

    =  2x² - 4x + 0.5(2x) + 0.5(-4)

    =  2x² - 4x + 1x + (-2)

    =  2x² - 3x  - 2

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A gift bag is shaped like a rectangular prism and has a volume of 1152 cubic inches. The width of the bag is w, the length is 2w
Dafna11 [192]
1. You must use the formula for calculate the volume of a rectangular prism, which is:

 V=(h)(l)(w)

 V: It is the volumen of the rectangular prism (V=1152 inches³).
 h: It is the height of the rectangular prism (h=18-w).
 l:It is the lenght of the rectangular prism (l=2w+4).

 2. When you substitute these calues into the formula, you obtain:

 V=(h)(l)(w)
 1152=(18-w)(2w+4)(w)
 (18-w)(2w+4)(w)-1152=0

 3. Then, you should mutiply them:

 36w²-2w³+72w-4w²-1152=0
 32w²-2w³+72w-1152=0

 4. When you factor, you obtain:

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 w2=6
 w3=-6

 5. The problem says that the height is greater than the width, therefore, the widht is:

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 6. The length is:

 l=2w+4
 l=2(6)+4
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 7. And the height is:

 h=18-w
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 What are the dimensions of the bag?

 The dimensions of the bag are:

 l=16 inches
 h=12 inches
 w=6 inches  
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