Answer:
There are 192 window panes in total.
Step-by-step explanation:
Since each window has four window panes across and four window panes down,the number of panes per window is:
The total number of window panes in 'n' windows is:
With n = 12 windows, the expression that describes the total number of window panes is:
There are 192 window panes in total.
For the various values of X the values of Y are given as follows
X=-1; Y=3
X=0; Y=2
X=1; Y=3
X=2; Y=6
X=3; Y=11
Step-by-step explanation:
Step 1:
Let us consider the given expression as
Step 2:
Let us discuss the value of Y for the various values of X
If X = -1, Y = (-1)² + 2 = 3
If X = 0, Y = (0)² + 2 = 2
If X = 1, Y = (1)² + 2 = 3
If X = 2, Y = (2)² + 2 = 6
If X = 3, Y = (3)² + 2 = 11
Answer:
Th Range is [0, -∞)
Step-by-step explanation:
f(x) = 2 - x
w(x) = x - 2
We want to find the range of (f * w)(x).
First, we need to find (f * w)(x), which is the multiplication of the function f(x) and the function w(x). Lets use algebra to find (f * w)(x):
This is a quadratic function (U shaped), or a parabola. The graph is attached.
The range is the set of y-values for which the function is defined.
We see from the graph that the parabola is upside down and the highest value is y = 0 and lowest goes towards negative infinity. So the range is from 0 to negative infinity. Or,
0 < y < ∞
In interval notation, that would be:
[0, -∞)
