Ilyapng1750 Ilyapng1750
  • 30-06-2020
  • Mathematics
contestada

Write an exponential function in the form y=ab^x that goes through points (0,7) and (5,1701).

Respuesta :

jimrgrant1 jimrgrant1
  • 30-06-2020

Answer:

y = 7 [tex]3^{x}[/tex]

Step-by-step explanation:

Use the given ordered pairs to find a and b

Using (0, 7 ), then

7 = a [tex]b^{0}[/tex] ( [tex]b^{0}[/tex] = 1 ), thus

a = 7

y = 7 [tex]b^{x}[/tex]

Using (5, 1701 )

1701 = 7 [tex]b^{5}[/tex] ( divide both sides by 7 )

243 = [tex]b^{5}[/tex] ( take the fifth root of both sides )

b = [tex]\sqrt[5]{243}[/tex] = 3 , thus

y = 7 [tex]3^{x}[/tex]

Answer Link

Otras preguntas

The six risk behaviors that lead to health problems? And reasons why.
How does competition create conflict? How can our attitudes toward competing change our experiences? How do competition and conflict bring out the best and the
12 pts!! solve for x. 4/5 (2x + 5) − 4 =1
What is the prime factorization of 36
What is the place value relationship when the same two digits are next to each other
What belief about life is being described in this excerpt?
10 less than five of a certain number is fourteen more than 7 times of that number what is that number
Which expression is equivalent to sec2x − 1?
What can be the results of DNA mutation?
Because angleA of triangleABC is obtuse, you conclude that angleB and angleC must be acute. Is this an example of inductive reasoning or deductive reasoning? A