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lions [1.4K]
3 years ago
12

LOOK AT PICTURE, WHOEVER HAS CORRECT ANSWER, I WILL MARK BRAINIEST :)

Mathematics
2 answers:
storchak [24]3 years ago
8 0

Answer:

B. 32

Step-by-step explanation:

instead of X in the equation put 3, you will get the answer as 32.

hope it helps!

Gnesinka [82]3 years ago
8 0

Answer:

B. 32

Step-by-step explanation:

f(x) =  \frac{1}{2}  \bigg( {4} \bigg)^{x}  \\  \\ plug \: x = 3  \\  \\ f(3) =  \frac{1}{2}  \bigg( {4} \bigg)^{3}  \\  \\ f(3) =  \frac{1}{2}   \times 64 \\  \\ f(3) =  32

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Is it possible to arrange 152 books on a shelf so that the first shelf has 7 fewer books than the second shelf and 11 more than
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Using a system of equations, it is found that <u>since the solution of the system does not involve decimal numbers</u>, it is possible to arrange the books in this way.

For the system, we consider that:

  • x is the number of books on the first shelf.
  • y is the number of books on the second shelf.
  • z is the number of books on the third shelf.

In total, there are 152 books, hence:

x + y + z = 152

The first shelf has 7 fewer books than the second shelf, hence:

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Also, it has 11 more books than the third shelf, hence:

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Then, replacing in the first equation:

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The number of books in each shelf has to be countable, that is, cannot be decimal.

  • Then, <u>since the solution of the system does not involve decimal numbers</u>, it is possible to arrange the books in this way.

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