Sammyyyyyy2021 Sammyyyyyy2021
  • 19-02-2021
  • Mathematics
contestada

Write and exponential function in the form y=ab^x that goes through points (0,17) and (5,4131)

Respuesta :

reeserl reeserl
  • 19-02-2021

Answer:

[tex]y = 17(3^{x} )[/tex]

Step-by-step explanation:

When x = 0, y = 17  So,  [tex]17 = kb^{0} = k(1) = k[/tex]

Now, [tex]y = 17b^{x}[/tex]

When x = 5, y = 4131  So, [tex]4131 = 17b^{5}[/tex]

[tex]b^{5} = 4131/17 = 243 = 3^{5}[/tex]

b = 3

Therefore, [tex]y = 17(3^{x} )[/tex]

Answer Link

Otras preguntas

Suppose you want to solve-5=6x+3+7x. What would you do as your first step? Explain.
Calculate the resulting ph if 365 ml of 2.88 m hno3 is mixed with 335 ml of 1.10 m ca(oh)2 solution. be aware of stoichiometry!
________ is defined as a general intellectual ability assumed by many theorists to underlie specific mental abilities and talents. metacognition an intelligence
The Communist Manifesto encouraged the working classes by stating that _____. Select all that apply.
Did some israelites stay behind in egypt
Which correctly describes the positive impact of European imperialism? A. Imperialist powers provided political unity and economic improvements to their colon
1. What is the slope intercept form of the equation ? X+3y=-6 2. What is the slope intercept form of the equation ? 9x+3y=6 3. What is the slope intercept
the total weight of 6 pieces of butter and a bag of sugar is 3.8 lb. if the weight of the bag of sugar is 1.4 lb. what is the weight of each piece of butter?
Why does two-bit say dally deserves whatever he gets if tim shephard fights him?
What is Chad's capitol?