Ehh, now it's letting me answer.
So the associative property is basically as long as it's addition or multiplication, you can move around the groupings and it will still be the same.
For example, you can say:(21 * 7) (3x) instead of (21)(7)(3x)
And it would be equal to the old version.
(To answer your other question, the commutative property is you can move around all the parts of the equation as long as it's addition or multiplication.)
So basically, it would be the first one you sent me.
Answer:
0.06944444444
Step-by-step explanation:
i dont have time to do all of it (sorry)
but this is how you do the point and slope questions:
use the equation: y-y1 = m(x - x1)
y1 is the y point you are given
x1 is the x point you are given
m is your slope
substitute all of those in from the question
the first one is:
y --4 = -5/6(x-8)
-- turns into a plus so the answer would be
y+4 = -5/6(x-8)
Step-by-step explanation:
The value of k in the equation g(x) = f(x) + k comes out to be 8.
How the vertical shifting of a graph takes place?
If the graph of a function f(x) is shifted vertically by k units, f(x) becomes f(x)+k.
From the diagram, we can say that graph of f(x) has been shifted vertically by 8 units
If we shift f(x) vertically by 8 units f(x) becomes f(x)+8 and also coincides with the graph of g(x).
So, g(x) = f(x) + 8........(1)
Comparing (1) and g(x) = f(x) + k, we get k=8.
Hence, the value of k in the equation g(x) = f(x) + k comes out to be 8.
