Answer:
Step-by-step explanation:
729 = 9³
by definition
can be written as 
by the same reasoning
can be written as 
Answer:
10 x 6,000 is 60,000. now divide it by ten. its 6,000 because its 1/10 of it so yes, 6,000
we have that

using a graph tool
see the attached figure
statements
case a) The domain is {x|x ≤ –2}-------> Is False
the domain is all real numbers---------> the interval (-∞,∞)
case b) The range is {y|y ≤ 6}.------> Is True
The range is the interval (-∞,6]
case c) The function is increasing over the interval (–∞ , –2).-----> Is True
See the attached figure
case d)The function is decreasing over the interval (−4, ∞).-----> Is False
In the interval (-4,-2) the function is increasing and in the interval (-2,∞) the function is decreasing (See the attached figure)
case e)The function has a positive y-intercept.------> Is True
The value of y-intercept is 
That would be Graph C
The solution is where the 2 graphs intersect At A and B.
x + y + 2 = 0 transforms to y = -x - 2 which has slope -1 and y-intercept of -2
as in Graph C.
Answer:
y - 1 = -3(x - 2)
Step-by-step explanation:
As we move from the point (2, 1) to the point (5, -8), x (the run) increases by 3 and y (the rise) decreases by 9. Thus, the slope of this line is
m = rise / run = -9/3, or m = -3.
Then the equation of the line (in point-slope form) is
y - 1 = -3(x - 2)