We have the following transformations:
y = f (x + c): moves the graph c units to the left.
y = 10 (x + 2) -10
y = 10x + 20-10
y = 10x + 10
y = f (x) - c: move the graph c units down.
g (x) = 10x + 10 - 12
g (x) = 10x - 2
Answer:
the function g (x) is given by:
g (x) = 10x - 2
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?
set up a ratio to find the length:
15/12 = DE/16
cross multiply the 15 & 16:
15 * 16 = 240
divide that by 12 to get DE
240 / 12 = 20
DE = 20
Answer:
-2
Step-by-step explanation:
The x value is 1, and the y value is 0. Substitute these values into the equation.
y=2x-2
<u>Hope this helps :-)</u>
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