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?
Answer:
Original number is 47
Step-by-step explanation:
Given: The tens digit is three less than the units digit. If the digits are reversed, the sum of the reversed number and the original number is 121.
To find: the original number
Solution:
Let x denotes digit at ones place.
As the tens digit is three less than the units digit,
Digit at tens place = 
Original number = 
When digits are reversed,
Reversed number = 
As the sum of the reversed number and the original number is 121,

So,
original number = 
I’m sorry I don’t know but I need the points:(
Answer: 
Step-by-step explanation:
<u>Given information</u>
Paid = $15.00 / hour
Paid (Last 4 hours) = Doubled the usual pay rate
Total hour = 12 hours
<u>Given expression</u>
Wage = Pay rate × hours except for the last 4 hours + Double Pay rate × 4 hours
<u>Substitute values into the expression</u>
Wage = (15) × (12 - 4) + (15 × 2) × (4)
<u />
<u>Simplify values in the parenthesis</u>
Wage = 15 × 8 + 30 × 4
<u>Simplify by multiplication</u>
Wage = 120 + 120
<u>Simplify by addition</u>

Hope this helps!! :)
Please let me know if you have any questions
(I’m assuming this is the Revolutionary War)
1. They had a fully formed government and powerful empire
2. They were fighting in an area that was 3,000 miles away from their home country
3. They knew the layout of the land
4. Their currency was far worse than that of the British, and they didn’t have access to gold which was a universal currency