To find slope between two given points:
(y2-y1)/(x2-x1)
Find the difference between the first two points
12-9.5/2-1 = 2.5/1 = 2.5
14.5-12/3-2 = 2.5/1 = 2.5
17-14.5/4-3 = 2.5/1 = 2.5
The rate of change between each point is 2.5
Answer:
see below
Step-by-step explanation:
3y = -9
Divide each side by 3
3y/3 = -9/3
y = -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?
Wrong,
You added when you were supposed to divide.
24/30 = 0.8
Answer:
f(n)= 5 · 4
Step-by-step explanation:
You use the explicit formula for geometric sequence. The five is the firat term and is placed correctly. The 4 is the rate of change, because if you multiply 5 by 4 you get 20 and so on.
