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slega [8]
4 years ago
15

A calculator may be used for this question. The energy saving from recycling one glass bottle will power the oven Adam uses to c

ook the turkey for 7.5 minutes. Glass used for recycling costs 5p per kg. A glass bottle weighs 500 grams. How much would the recycled glass cost to power the oven for 6 hours?
Mathematics
1 answer:
anastassius [24]4 years ago
7 0
6 hours=360 minutes
Glass bottles needed to cook for 6 hours=360/7.5
                                                           =48
Weight of 48 glass bottles=48x500g
                                      =24000g
                                      =24kg
Price of 24kg of glass=5px24
<span>                               =120p</span>
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2\Bigl[(x+\frac{3}{4} )^2-\frac{25}{16} \Bigr]

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Step 2

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f(x)=2\Bigl[x^2+\frac{3}{2}x+(\frac{3}{4})^2-(\tfrac{3}{4})^2 -1 \Bigr]\\f(x)=2\Bigl[x^2+\frac{3}{2}x+(\frac{3}{4})^2-\frac{25}{16} \Bigr]

Step 3

In this step we factor out the perfect square tri-nomial formed by the first 3 terms in last line of step 2.  This calculation is shown below,

f(x)=2\Bigl[\bigl(x+\frac{3}{4} \bigr)^2-\frac{25}{16} \Bigr]

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