Answered

Westonci.ca is the best place to get answers to your questions, provided by a community of experienced and knowledgeable experts. Explore thousands of questions and answers from a knowledgeable community of experts ready to help you find solutions. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.

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]

Thanks for stopping by. We are committed to providing the best answers for all your questions. See you again soon. Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. We're glad you chose Westonci.ca. Revisit us for updated answers from our knowledgeable team.