Set the whole expression = to 0 and solve for x.
3x^(5/3) - 4x^(7/3) = 0. Factor out x^(5/3): x^(5/3) [3 - 4x^(2/3)] = 0
Then either x^(5/3) = 0, or 3 - 4x^(2/3) = 0.
In the latter case, 4x^(2/3) = 3.
To solve this: mult. both sides by x^(-2/3). Then we have
4x^(2/3)x^(-2/3) = 3x^(-2/3), or 4 = 3x^(-2/3). It'd be easier to work with this if we rewrote it as
4 3
--- = --------------------
1 x^(+2/3)
Then
4
--- = x^(-2/3). Then, x^(2/3) = (3/4), and x = (3/4)^(3/2). According to my 3 calculator, that comes out to x = 0.65 (approx.)
Check this result! subst. 0.65 for x in the given equation. Is the equation then true?
My method here was a bit roundabout, and longer than it should have been. Can you think of a more elegant (and shorter) solution?
It took 3 days to complete a work by 10 people.
<h3>What is Efficiency?</h3>
The efficiency is the output of the work which we divide by the work input and then express it in a percentage form.
Here, Efficiency of 1 person to complete a piece of work in 30 days is 1/30.
The number of days to complete the work = n days
Number of person to complete the work = p.
Now, according to question
Number of days to complete the work by 10 people = 30 / 10
= 3 days.
Thus, it took 3 days to complete a work by 10 people.
Learn more about Efficiency from:
brainly.com/question/13828557
#SPJ1
113 groups, since the place value of the 4 is divisible by 4 you can predict that the quotient is about 100
Answer: -650
Step-by-step explanation:
I hope this helps :))
