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7nadin3 [17]
3 years ago
6

Factorise: 8+(b^2-2)^4-6(b^2-2)^2

Mathematics
1 answer:
Ronch [10]3 years ago
8 0

Answer:

Step-by-step explanation:

Let u = (b^2-2)^2

Now you have 8+u^2-6u = u^2-6u+8

= (u-4)(u-2)

= ((b^2-2)^2-4)((b^2-2)^2-2)

= (b^2-4b)(b^2-4b+2)

= b(b-4)(b-2-\sqrt{6})(b-2+\sqrt{6})

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How much of an alloy with 30% copper must be added to 25 pounds of a second alloy that is 20% copper to create a 27% alloy? 33.8
yuradex [85]

Answer:

58.33 lbs.

Step-by-step explanation:

There are already 25 lbs of alloy of copper

Of this 25 lbs, 20% is pure i.e. copper content = 25(0.5) = 5lbs.

Now available is

Copper      Other metals

5 lbs                20 lbs

Let x lb of 30% copper is added.

Then new alloy will have 5+0.3x lb copper in total of 25+x lbs

Percentage pure = \frac{5+0.3x}{25+x} =27%

Simplify to get

\frac{5+0.3x}{25+x} =\frac{27}{100} \\\\Cross multiply:\\27(25+x) =100(5+0.3x)\\500+30x =675 +27x\\3x = 175\\x = 175/3 = 58.33 lbs

Hence answer is 58.33 lbs should be added.



8 0
3 years ago
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8 0
3 years ago
What is greater 2 3/4 or 2 2/3
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Answer:

he age of girl 3 \frac{1}{2} years ago is 8.5 years  .

Step-by-step explanation:

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