Can someone help me with this Khan Academy? I have a picture attached below.

Mathematics

1 answer:

Darina [25.2K]2 years ago

6 0

Answer:

B, g(n) = 50*1.15^n

Step-by-step explanation:

It's a geometric sequence because the money is increasing by a percentage every year.

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PLEASE EXPLAIN HOW TO DO THIS PROBLEM

jarptica [38.1K]

Answer:

y=1/3x + 2

Step-by-step explanation:

the y intercept is 2, and the second point goes up 1 over 3

rise over run

4 0

2 years ago

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If f(x) = log2 (x + 1), what is f-1(2)? (2 points)

Soloha48 [4]

as you already know, to get the inverse of any expression, we start off by doing a quick switcheroo on the variables, and then solve for "y".

$\bf \textit{Logarithm Cancellation Rules} \\\\ log_a a^x = x\qquad \qquad \stackrel{\textit{we'll use this one}}{a^{log_a x}=x} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \stackrel{f(x)}{y}=\log_2(x+1)\implies \stackrel{\textit{quick switcheroo}}{\underline{x}=\log_2(\underline{y}+1)}\implies 2^x=2^{\log_2({y}+1)} \\\\\\ 2^x=y+1\implies 2^x-1=\stackrel{f^{-1}(x)}{y} \\\\[-0.35em] ~\dotfill\\\\ 2^2-1=f^{-1}(2)\implies 3=f^{-1}(2)$