Mathematics: Find the exponential function f(x)=ca^x given two points (1,6) (3,24)

Find the exponential function f(x)=ca^x given two

Ответ:

lorenzo1beaton

14.03.2022

$f(x)=ca^x\to y=ca^x\\\\(1;\ 6)\to x=1;\ y=6\\(3;\ 24)\to x=3;\ y=24\\\\\text{substitute the values of x and y to the equation:}$

$\left\{\begin{array}{ccc}6=ca^1&\to c=\dfrac{6}{a}\\24=ca^3\end{array}\right\\\\substitute\\\\24=\dfrac{6}{a}\cdot a^3\\\\24=6a^2\ \ \ |:6\\\\a^2=4\to a=\sqrt4\to a=2\\\\substitute\\\\c=\dfrac{6}{2}=3$

$\ \boxed{f(x)=3\cdot2^x}$

0,0(0 оценок)

Ответ:

AmityHeart

22.05.2020

Mathematics

The easiest way is to make a double bubble map if you know what those are. Start by putting 14 and 21 over each of the bubbles than find the multiples. Find the smallest ones that match and thats your answer. Hoped it helped

0,0(0 оценок)

Find the exponential function f(x)=ca^x given two points (1,6) (3,24)

Ответ:

Ответ:

Ask your question to the AI advisor

More tips

Answers on questions: Mathematics

Ask an AI advisor a question