radomes.openskiesproject.org
Steelerfan87 Steelerfan87
  • 09-01-2015
  • Mathematics
Answered

Write en exponential function y=ab^x for a graph that includes the given points. (2,135) and (4,1215)

Verified Answer :

naǫ
naǫ naǫ
  • 10-01-2015

\(y=ab^x \\ b>0 \\ \\ (2,135) \\ x=2 \\ y=135 \\ \downarrow \\ 135=ab^2 \\ a=\frac{135}{b^2} \\ \\ (4,1215) \\ x=4 \\ y=1215 \\ \downarrow \\ 1215=ab^4 \\ a=\frac{1215}{b^4}\)

\(\frac{135}{b^2}=\frac{1215}{b^4} \\ 135b^4=1215b^2 \ \ \ |\div 135b^2, \ b>0 \\ b^2=9 \\ b=-3 \ \lor \ b=3 \\ b>0 \\ b=3 \\ \\ a=\frac{135}{b^2}=\frac{135}{3^2}=\frac{135}{9}=15 \\ \\ \boxed{y=15 \times 3^x}\)

Answer Link

Related Questions

Choose the correct definite articles to complete the paragraph IN FRENCH étudiants pensent que ordinateur télévision et tables dans salle de classe sont vieux D
PLEASE HELP THIS QUESTION MADE ME SO CONFUSED SOMEONE PLEASE HELP IM DESPRATE WILL GIVE BRAIBLEIST ANSWER
why is America and Russia fighting
How do you solve xy3 xy7
What is the unit rate for 40 meters in 16 Seconds
The objective is to analyze and address solutions for an organization that is displaying ethical danger signsWe need to discuss and evaluate a nonprofit rentry
What would happen if your hypothalamus didnt work properly
Which of the following relations is not a function 0 0 1 0 2 0 1 3 4 2 1 5 1 2 3 5 1 7 7 1 3 2 5 2
During the early 20th century the Socialist Party of the United States shared many of the goals of which of these groups
which formula represents an ionic compound