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: 1/40
Step-by-step explanation:
Since we are told that Sinister Stan stole 3 3/4 oz of slime from Messy Molly and stole another 2 3/5 oz of slime from Rude Ralph. The total oz of slime stole would be:
= 3 3/4 + 2 3/5
= 3 15/20 + 2 12/20
= 5 27/20
= 6 7/20
We are told that his evil plans require 6 3/8 oz of slime, the amount needed for Sinister Stan for his evil plan would be:
= 6 3/8 - 6 7/20
= 6 30/80 - 6 28/80
= 2/80
= 1/40
Answer:
l think that the answer is understand the problem better.
Step-by-step explanation:
Coz I think when you understand your problem better it helps you to solve it better.
Answer:
x = 10
missing angle = 83°
Step-by-step explanation:
These are supplementary angles meaning they have a sum of 180°.
8x + 3 + 97 = 180
8x + 100 = 180
8x + 100 - 100 = 180 - 100
8x = 80
x = 10
Substitute the value for the variable.
8(10) + 3
80 + 3
83
