4 loaves : 6 cups
That simplifies to 2 loaves : 3 cups
So, your ratio is 2:3
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:
When f(x) = 7, x is equal to 5.
Step-by-step explanation:
When looking at this graph, we are looking for where the line hits a point where y is equal to 7. That's because f(x) is essentially the same thing as y.
The point in which the graph hits y = 7 is (5, 7). This means the x value we need is 5.
Answer:
(-3,2) is located in the solution region.
Step-by-step explanation:
