Answered

IDNLearn.com is designed to help you find the answers you need quickly and easily. Get accurate and detailed answers to your questions from our dedicated community members who are always ready to help.

I'm not sure how to solve this got it off of Khan Academy.
The exponential function hhh, represented in the table, can be written as h(x)=a\cdot b^xh(x)=a⋅b
x
h, left parenthesis, x, right parenthesis, equals, a, dot, b, start superscript, x, end superscript.
xxx h(x)h(x)h, left parenthesis, x, right parenthesis
000 777
111 999
Complete the equation for h(x)h(x)h, left parenthesis, x, right parenthesis.

Im Not Sure How To Solve This Got It Off Of Khan Academy The Exponential Function Hhh Represented In The Table Can Be Written As Hxacdot Bxhxab X H Left Parenth class=

Sagot :

well, looking at the table there, we can see that when x = 0, h(x) = 7, and when x = 1, h(x) = 9, so let's start

[tex]h(x)=a\cdot b^x \\\\[-0.35em] ~\dotfill\\\\ \begin{cases} x=0\\ h(x)=7 \end{cases}\implies 7=a\cdot b^0\implies 7=a\cdot 1\implies 7=a~\hfill \underline{h(x)=7b^x} \\\\[-0.35em] ~\dotfill\\\\ \begin{cases} x=1\\ h(x)=9 \end{cases}\implies 9=7b^1\implies 9=7b\implies \cfrac{9}{7}=b~\hfill \underline{h(x)=7\left( \frac{9}{7} \right)^x}[/tex]

Your presence in our community is highly appreciated. Keep sharing your insights and solutions. Together, we can build a rich and valuable knowledge resource for everyone. IDNLearn.com is committed to your satisfaction. Thank you for visiting, and see you next time for more helpful answers.