In 25 minutes li can run 10 .find the constant of proportionality
1 answer:
You might be interested in
Y=x+1 crosses the y-axis at (0,1). To solve this, I found out the y-intercept which is 1. I know that the y-intercept is 1 because in the equation y=mx+b, the 'b' is the y-intercept. The y-intercept is always on the y-axis and so this is where this equation crosses the y-axis.
Below is a picture of the equation y=x+1
Below is a picture of the equation y=x+1
This equation uses two properties of logarithms:
So you could take the ln from left and right hand side in the equation, and get:
(2-x)ln 3 = x ln 5
then
2 ln 3 - x ln 3 - x ln 5 = 0 =>
x(ln 3 + ln 5) = 2 ln 3
so x = 2 ln 3 / (ln3 + ln5)
Now using the 1st property you can say 2 ln 3 is ln 3² = ln9
and using the 2nd property you can say ln3 + ln5 = ln15
so x= ln9 / ln15
So you could take the ln from left and right hand side in the equation, and get:
(2-x)ln 3 = x ln 5
then
2 ln 3 - x ln 3 - x ln 5 = 0 =>
x(ln 3 + ln 5) = 2 ln 3
so x = 2 ln 3 / (ln3 + ln5)
Now using the 1st property you can say 2 ln 3 is ln 3² = ln9
and using the 2nd property you can say ln3 + ln5 = ln15
so x= ln9 / ln15