10 POINTS. NEED THIS ASAP!!

Mathematics

2 answers:

irinina [24]3 years ago

8 0

Answer:

24.2

Step-by-step explanation: Yeah, Yeah.. I know I'm late but I hope it'll help others! :D

zubka84 [21]3 years ago

5 0

$\bf slope = {{ m}}= \cfrac{rise}{run} \implies 
\cfrac{{{ f(x_2)}}-{{ f(x_1)}}}{{{ x_2}}-{{ x_1}}}\impliedby 
\begin{array}{llll}
average\ rate\\
of\ change
\end{array}\\\\
-------------------------------$

$\bf f(x)= \cfrac{1}{2}(3)^x \qquad 
\begin{cases}
x_1=0\\
x_2=5
\end{cases}\implies \cfrac{f(5)-f(0)}{5-0}
\\\\\\
\cfrac{\frac{1}{2}(3)^5~~-~~\frac{1}{2}(3)^0}{5}\implies \cfrac{\frac{3^5}{2}~~-~~\frac{1}{2}}{5}\implies \cfrac{\frac{243}{2}-\frac{1}{2}}{5}
\\\\\\
\cfrac{\frac{243-1}{2}}{\frac{5}{1}}\implies \cfrac{\frac{242}{2}}{\frac{5}{1}}\implies 
\cfrac{242}{2}\cdot \cfrac{1}{5}\implies \cfrac{242}{10}\implies \cfrac{121}{5}$

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