kawaiimooon
kawaiimooon kawaiimooon
  • 12-05-2021
  • Mathematics
contestada

Find the y=a(b)^x form for the exponential function passing through points (1,48) and (3,12)

Respuesta :

lynnkc2000 lynnkc2000
  • 12-05-2021

Answer:

y = 96 * (1/2)ˣ   or

y = (-96)*(-1/2)ˣ

Step-by-step explanation:

y=a(b)ˣ

pass (1 , 48):  48 = a * b¹        ab = 48   ...(1)

pass (3 , 12):   12 = a * b³       ab³ = 12   ...(2)

(2)/(1):   ab³/ab = b² = 12/48 = 1/4

b = 1/2 or b = - 1/2

a = 96  or a = -96

Answer Link

Otras preguntas

PLEASE ANSWER ASAP. PS IT ISN’T FOURTEENTH AMENDMENT. A state requires citizens to pass a literacy test in order to vote, but only some citizens are asked to ta
How is a Supreme Court Judge appointed and confirmed to the bench? How does this process balance power between all three branches?
An unknown metal displaces Ali from solution but does not displace sodium using the activity series determine the unknown metal
+ One-third of the students at Maxx Middle School play a musical instrument. If 152 students play an instrument, how many students are at the school?
Explain this please!
What is 12 1/2 - 7 6/7?
A company has 12,247 customers they extend credit to, how many total A/R will they have (just type the number, no commas)
Who/what has always been there for you when you needed them/it??
Do any modern tetrapods have gills?
Why do you think the president's informal powers have grown over time?