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3 years ago

Express as a single power of 2

Mathematics

1 answer:

den301095 [7]3 years ago

6 0

When you multiply powers, they add, and when you divide them they subtract.
So I would first add the 2^a + 2^b +2^c to get 2^(a+b+c)
Then, divide by 2^(a+b). Because when you divide powers they subtract, you will be taking away the (a+b) from the (a+b+c) and you will be left with c on its own.
The answer is 2^c

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Total cost = Initial cost + (cost per hour)(Number of hours)

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Total cost (y)= 30+2x

At Jose's Bounce Rentals,

Total cost(y) = 12+8x

When both shops have the same cost, then

$12+8x=30+2x\\\\\Rightarrow\ 8x-2x=30-12\\\\\Rightarrow\ 6x=18\\\\\Rightarrow\ x=3$

Total cost = 12+8(3)=12+24=$36

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