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

Which of the following nutrient cycles has its largest reservoir in the atmosphere? A) Carbon cycle B) Nitrogen cycle C) Potassium cycle D) Phosphorus cycle E)
You are conducting an experiment with phosphorus and nitrogen being added to the soil of a growing plant. When the amount of added nitrogen is increased, the
What is/was the American dream? I need at least 10 bullet points about what the American dream was please somebody help me
Of the model cars manufactured in September,1/5 were models of NASCAR cars and 1/3 were world were 2 vintage models.how many cars manufactured in September were
Which decimal is equivalent to 3/8?
Write good insulators around the home
one way that animals adapt to seasonal change
Which decimal is equivalent to 13/20?
The length of an arc of a circle is equal to 1/5 of the circumference of the circle. If the length of the arc is 2π, the radius of the circle is
The square root of 617 is between which two numbers?