jhernandez5878
jhernandez5878 jhernandez5878
  • 02-07-2021
  • Mathematics
contestada


If f(x) is an exponential function where f(-1.5)=26 and f(5.5)=7 then find the value of f(10), to the nearest hundredth

Respuesta :

ashish4112119
ashish4112119 ashish4112119
  • 02-07-2021

Answer:

5.0956537e-46

Step-by-step explanation:

^ means root

* means multiply

f(x) = ab^x

f(-1.5)=26 = ab^-1.5

f(5.5)=7 = ab^5.5

f(5.5)/f(-1.5) = 26/7 = ab^5.5/ab^-1.5

3.714 = b^7

b = 3.714^-7

f(-1.5)=26 = ab^-1.5

26 = ab^-1.5

26 = a * 3.714^-7

a = 3.714^-7 / 26

a = 0.00000394578

f(10) = ab^10

f(10) = 0.00000394578 * (3.714^-7)^10

f(10) = 5.0956537e-46

Answer Link

Otras preguntas

Which layer of the OSI model defines how to start, control, and end conversations by grouping messages in a workflow
could someone help me In Spanish 2 I'm really behind ​
Organic materials are rich in ______, so increasing the amount stored in soil will not only improve soil quality but also mitigate climate change.
What happened when Japan attacked the Philippines and defeated American forces there?
Which political position would NOT be voted on annually by freemen of the colony in early colonial America? governor deputy governor assistants pastors
I have a lot of time left so take your time :)
if you were an american sailor stationed at pearl harbor, how would you be feeling during the japanese attack
The theory that the earth is the center of the solar system is called
What group opposed the annexation of Texas in 1842?
What type of book did Samuel Smiles write and what was the main message of his book?