jonahmorr645 jonahmorr645
  • 02-04-2022
  • Mathematics
contestada

ab" that goes through points (0,9)
Write an exponential function in the form y
and (10,9216).

Respuesta :

jdoe0001 jdoe0001
  • 02-04-2022

[tex]y = ab^x \\\\[-0.35em] ~\dotfill\\\\ (\stackrel{x}{0}~~,~~\stackrel{y}{9})\qquad \implies 9=ab^0\implies 9=a(1)\implies 9=a~\hfill \underline{y=9b^x} \\\\\\ (\stackrel{x}{10}~~,~~\stackrel{y}{9216})\qquad \implies 9216 = 9b^{10}\implies \cfrac{9216}{9}=b^{10}\implies 1024=b^{10} \\\\\\ \sqrt[10]{1024}=b\implies 2=b~\hfill \underline{y=9(2)^x}[/tex]

Answer Link

Otras preguntas

If x < 5 and x > c, give a value of c such that there are no solutions to the compound inequality. Explain why there are no solutions.
Did I do this right?
What's the product of 3 2⁄3 and 14 2⁄5
What are some everyday precautions you take to protect your bones ?
carol makes 9 1/3 cups of snack mix. She puts all the snack mix into plastic bags. She puts 2/3 cup of the snack mix in each bag. How many plastic bags does Car
If the stone loses 10% of its speed in 10 s of grinding, what is the force with which the man presses the knife against the stone?
"You can't believe in God while there is evil and suffering in the world." Do you agree? Give reasons showing that you have thought of more than one point of vi
Lauren earn to 4.50 an hour babysitting how much will she earn in 3.5 hours
what is a carbohydrate?
How the depression in the united states affected the economy in europe??