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:
distance in 3 hours = 150 miles
distance in 1 hour = 150/3 = 50 miles
distance in 9 hours = 50 × 9 = 450 miles
YOU JUST DO 28*7 and you get 196
Answer:
Examine the mathematical expression you're working on. For example, suppose you're given 5x + 3. There are two terms here, 5x and 3. Look for the variable. In this case, x is the variable. In your case its c
Find the numerical coefficient of x. Remember to look for the number before the variable. In this case, 5 is the numerical coefficient. The term 3 is a constant and is separated from the variable by a plus sign.
Keep an eye out for negative coefficients. For example, suppose you're given the statement -y + 7 + 98. You would first identify the variable, y.
Look for the numerical coefficient of y. In this case, a "1" is implied before the variable, but it's negative in this instance. Therefore, the coefficient of y is negative 1.
I wish I can help but I haven't learned that yet, sorry
