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tamaranim1 [39]
3 years ago
7

How are the functions f(x) = 16x and g(x) = 16 1/2x related?

Mathematics
2 answers:
cestrela7 [59]3 years ago
8 0

Answer:

Step-by-step explanation:idk

Misha Larkins [42]3 years ago
6 0
F(x)=16^x = 8^2x
G(x)=16^1/2x=8^x

So you can see the relationship. They are all of the type a^bx form. With same base of a, f(x) will have larger increase rate
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recall your d = rt, distance = rate * time.


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they are 210 miles apart and moving toward each other, at some point they will meet, when that happens, the faster train A has covered say d miles, and the slower B has covered then the slack from 210 and d, namely 210 - d.


When both trains meet, A has covered more miles than B because A is faster, however the time both have been moving, is the same, say t hours.


\bf \begin{array}{lcccl} &\stackrel{miles}{distance}&\stackrel{mph}{rate}&\stackrel{hours}{time}\\ \cline{2-4}&\\ \textit{Train A}&d&85&t\\ \textit{Train B}&210-d&65&t \end{array}\\\\ \dotfill\\\\ \begin{cases} \boxed{d}=85t\\ 210-d=65t\\[-0.5em] \hrulefill\\ 210-\boxed{85t}=65t \end{cases} \\\\\\ 210=150t\implies \cfrac{210}{150}=t\implies \cfrac{7}{5}=t\implies \stackrel{\textit{one hour and 24 minutes}}{1\frac{2}{5}=t}

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2 years ago
Why are angles opposite each other when two lines cross called vertical angles?
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