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Advocard [28]
3 years ago
12

DOES ANYONE KNOW HOW TO DO THIS AND IF SO I WILL GIVE YOU THE GROWN THING AND 31 POINTS PLS HELP

Mathematics
1 answer:
Brums [2.3K]3 years ago
3 0

what is the question can you out it in ?

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If 2^(x+3) - 2x = k(2^x) what is the value of k
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Answer:

\large\boxed{C)\ 7}

Step-by-step explanation:

Use:

a^n\cdot a^m=a^{n+m}

2^{x+3}-2^x=2^x\cdot2^3-2^x=8\cdot2^x-2^x=(8-1)\cdot2^x=7\cdot2^x\\\\2^{x+3}-2^x=k(2^x)\\\\7\cdot2^x=k(2^x)\Rightarrow k=7

8\cdot2^x-2^x=8\cdot2^x-1\cdot2^x=(8-1)(2^x)=7\cdot2^x\\\\\text{distributive property:}\ a(b-c)=ab-ac

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4 years ago
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2 years ago
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