mathematics with applications in the management, natural, and social sciences twelfth edition
chapter 6: systems of linear equations and matrices
6.1 exercises
23.) according to google trends, popular interest in led lightbulbs has been soaring. while interest in cfls has been dropping. the following equations approximate the google trends rating (on a scale from 0-100) in year x, where x = 10 corresponds to the year 2010. ( data from )
led: -25x + 6y = 20
cfl: 15x + 2y = 322
when did interest in ed lighting surpass cfl lighting? round your answer to the nearest year.

2014

Step-by-step explanation:

LED: -25x + 6y = 20

CFL: 15x + 2y = 322

we need to find which year it was the same to know where LED lighting surpassed  CFL lighting

-25x + 6y = 20

15x + 2y = 322 (-3)

-25x + 6y = 20

-45x - 6y = -966    

-70x = -946

x = 13.51

The nearest year would be 14 which is 2014

news channels,news papers,and the internet

c

step-by-step explanation:

there is vertical asymptote at x = 2 and x = 0

vertical asymptote occurs at the points where the denominator is 0. so we can say that

x = 2 occurs when there is a factor (x-2) in the denominator, and

x = 0 occurs when there is a factor "x" in the denominator

thus, the denominator of the equation would have "x * (x-2)", this is option c only. that's the correct answer.