┏┓┏┳━━┳┓┏┓┏━━┓ ┃┗┛┃━━┫┃┃┃┃ ╭╮ ┃ ┃┏┓┃━━┫┃┫┗┫ ╰╯ ┃ ┗┛┗┻━━┻━┻━┻━━┛
Answer:
^^1 week and 5 days
Explanation:
If she has $85 now, and gains $10 per week, by the next week and 5 days, she should have her goal of $205. Hope it helps!
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:
The correct choice is the third answer.
Step-by-step explanation:
The arrow on top of the letters means that they would be parallel. If you look closely at the diagram, you can see that both QR and TU go in the same direction and will never intersect.
