Rates like $ per channel is a slope, "m". The added fee is a constant so it's the intercept "b".
y = mx + b
So for the first problem (9)
(a)
y = total cost in dollars
x = number of premium channels
y = 16x + 44
(b) when x = 3 channels
y = 16(3) + 44
y = 92 $
the second problem (10)
(a) every 4 years the tree grows by 12-9=3 ft
So the unit rate or slope will be 3 ft per 4 yrs, (3/4). You can see this also by solving for slope "m" using the given points (4,9) and (8,12).
x = number of years
y = height of tree in ft
y = (3/4)x + b
use one of the points to find the y-intercept "b".
9 = (3/4)(4) + b
9 = 3 + b
9 - 3 = b
6 = b
y = (3/4)x + 6
(b) when x = 16
y = (3/4)(16) + 6
y = 12 + 6
y = 18 ft
Answer:

Step-by-step explanation:
The given complex number is

The polar form of this complex number is;
, where


and

This implies that;
to the nearest degree.
Hence the polar form is

You keep adding 2 and 1/3 to get your answer
Answer:
See below.
Step-by-step explanation:
A)
The end behavior is basically how the function behaves as it approaches negative or positive infinity.
As the function approaches negative infinity, we can see that the graph is going up. In other words:

As the function approaches positive infinity, we can see that the graph is going down. In other words:

B)
In even-degree polynomials, both ends of the graph will be going the same way. In this graph, the two ends are going opposite ways so this is an odd-degree function.
C)
The number of real zeros is simply the amount of times the graph crosses the x-axis. In the graph, the function does this three times. Thus, the number of real zeros is 3.