on Saturday Joe ran m miles in 1.5 hours. On Sunday he ran four times as far in 6 hours. If his average speed for two days is 6
1 answer:
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Answer:
(x^3 - 3·x^2 + 3·x - 2) / (x^2 - x + 1)
= (x - 2)·(x^2 - x + 1) / (x^2 - x + 1)
= x - 2
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
Answer
a) 3/4 x = 9
x =
x = 12
b) 10+ 3x = 5x
2 x = 10
x = 5
c) a + x = b
x = b - a
d) c x = d
x =
e)
x < 2( m + g)
f) q + 5 x = 7 x - r
q + r = 2 x