Answer:
Step-by-step explanation:
Use the slope formula.




Solve.

- <u>Therefore, the slope is 2, which is our answer.</u>
I hope this helps. Let me know if you have any questions.
Answer:
Rise/Run = y/x
Step-by-step explanation:
On a number line the X-axis is on the bottom, and the Y-axis is on the Top.
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?
8, 2 because A doesn't add anything.
Answer:
6.66 yards of ribbon.
Step-by-step explanation:
If she has 10 yards of ribbon and divides it equally into three parts, those 3 parts would each be 3.33 yards long or 3 (1/3) yards long.
If she uses two of those parts on gifts, then she would use 3.33 x 2 or 6.66 yards of ribbon.