kbriggs60 kbriggs60
  • 17-10-2019
  • Mathematics
contestada

An exponential function f(x)=ab^x passes through points (0,5000) and (3,2560). What are values of a and b?

Respuesta :

MathPhys
MathPhys MathPhys
  • 17-10-2019

Answer:

a = 5000

b = 0.8

Step-by-step explanation:

f(x) = abˣ

Plugging in the points:

5000 = ab⁰

2560 = ab³

b⁰ is 1, so the first equation reduces to:

5000 = a

Plugging into the second equation:

2560 = 5000b³

0.512 = b³

b = 0.8

Therefore, a = 5000 and b = 0.8.

Answer Link

Otras preguntas

How to solve 5x - 4y = 42 and x - 6y = 24 using the elimination method
The initial population of a town is 127,866 and it grows with a doubling time of 18 years. What will the population be in 23 years?
49 is 175% of what number?
What is liquid fraction
What technique uses a paragraph that emphasizes the differences between like things?
Which point lies on the graph of 3x+2y=7x-5? A.(-1,4.5) B.(1,0.5) C.(1,7) D.(3,3.5)
which part of the country grew the fastest due to industrialization
HELP PLEASE!!!!!!!!! PLEASE ANSWER!!!!!
What is the mixed number of 35/4 and what is the improper number of 6 and 2/7
PLEASE HELP THANKS Solve |b - 7| + 5 = 3.