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:
Step-by-step explanation:
Number Price per Total Commission Total cost
of Shares Share (At 6% of total)
100 $16.25 $1625 1625+97.5 = $1722.5
100 $11.31 $1131 1131+67.86=$1198.86
40 $9.15 $366 366+21.96=$387.96
100 $15.27 $1527 1527+91.62=$1618.62
100 $13.22 $1322 1322+79.32=$1401.32
Answer:
Many techniques will simplify your work as you perform operations with algebraic fractions. As you review the examples, note the steps involved in each operation and any methods that will save you time.
Answer:
-6 gal/min
Step-by-step explanation:
(-4 1/2 gal)/(3/4 min) =
= (-4.5 gal)/(0.75)
= -6 gal/min
Answer: -6 gal/min
Answer: 11 619/1000
Step-by-step explanation: