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

Solve the following inequality. Then place the correct answer in the box provided. Answer in terms of a mixed number. 2(P +1) + 3(P + 2 ) > 2
Which is an equation in a slope intercept form for the line passing through (5,1) and (-4,7) A: y=-2/3x+13/3 B: y=-2/3x-13/3 C: y=2/3x-13/3 D: y=2/3x+13/3
Name one reason life was impossible on early earth
what is the p(x>x')=0.24 when mean is 12 standard deviation is 4
how did the printing press impact society?
What are some additional requirements you feel should be added, and why?
the table shows the height of a plant as it grows. Which equation in point slope form gives the plants height at any time?
Ron has 20 apples. He used 2/5 of the apples to make pies. How many apples did Ron use for pies
which of the following statements about interest groups are true
The seizure and defense of naval bases is provided by which branch of the armed services?