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

Please do number 11 on the packet and explain please
Need help with 5 and 6 there is a picture below :)
Determine whether each number is a solution of the given inequality. 3y-8<22
WHAT IS 9.1/3576, SHOWING STEPS
Which is not equivalent to 45 over 75 ? A - 9 over 15 B - 15 over 25 C - 60% D - 70%
write the general form of equation (x-8)^2 +(y+2)^2 =1
Mangrove forests were traditionally viewed as _______. a. unproductive wastelands b. valuable fish habitats c. an erosion preventing habitat d. pollution filter
The document that contains a long list of grievances (complaints) against the King of England is known as: The Constitution. The Articles of Confederation. The
what happens when a seat becomes vacant in the house? in the senate?
Which accurately describes a newspaper article written during a historical event? biased historical evidence poor historical evidence primary source document se