Assume (a,b) has a minimum element m.
m is in the interval so a < m < b.
a < m
Adding a to both sides,
2a < a + m
Adding m to both sides of the first inequality,
a + m < 2m
So
2a < a+m < 2m
a < (a+m)/2 < m < b
Since the average (a+m)/2 is in the range (a,b) and less than m, that contradicts our assumption that m is the minimum. So we conclude there is no minimum since given any purported minimum we can always compute something smaller in the range.
3
3/5 x 3 = 9/5
9/5 = 1 4/5
Answer:
D. variables
Step-by-step explanation:
Answer:
The power for the volume of the cube is '3'.
Exponent form of the volume is
Volume of the cube is inch³.
Step-by-step explanation:
We are given,
A cube with side equal to inches.
As we know,
Volume of a cube =
Thus, we get,
Volume of the given cube is,
Volume =
i.e. Volume = inch³
Thus, we have,
The power for the volume of the cube is '3'.
Exponent form of the volume is
Volume of the cube is inch³.
The slope of the line is the gradient, which you can find through rise over run
m (gradient) = (y1 - y2) / (x1 - x2)
where (x1, y1) is the coordinate of the first point, and (x2, x2) is the coordinate of the second point
in your question:
x1 = -4
x2 = 19
y1 = -13
y2 = 11
m = (-13 -11) / (-4 -19) = -24 / -23 = 24/23 or 1.04 (2d.p.)
hope that helps :)
