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QveST [7]
3 years ago
5

Mike bought 7 new baseball cards to add to his collection. The next day his dog ate half of his collection. There are now only 4

1 cards left. How many cards did Mike start with?
Mathematics
1 answer:
bulgar [2K]3 years ago
3 0

Answer: Mike started with 75 cards

Step-by-step explanation:

Hi, to answer this question we have to write an equation:

The number of cards mike started with (x) plus the new cards added (7) must be divided by 2 (since his dog ate half of his collection).

That expression must be equal to the number of cards left (41)

Mathematically speaking:

(x + 7) /2 = 41

Solving for x:

x+7 = 41x2

x+7 = 82

x = 82-7

x = 75 cards

Feel free to ask for more if needed or if you did not understand something.  

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The inverse of a function f(x) is another function, f^{-1}(x), with the following property:

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In other words, the inverse of a function does exactly "the opposite" of what the original function does, and so if you compute them both in sequence you return to the starting point.

Think for example to a function that doubles the input, f(x)=2x, and one that halves it: f(x)= \frac{x}{2}. Their composition is clearly the identity function f(x)=x, since you consider "twice the half of something", or "half the double of something".

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