Answer:
14
Step-by-step explanation:
Given that:
Cost of purchase and installation = 5323.50
Cost per window = 230.25
Cost of installation = 2100
Hence,
Total purchase cost of windows alone :
5323.50 - 2100 = 3,223.50
Therefore, the number of windows purchased is :
(Total purchase cost of windows alone / price per window)
(3,223.50 / 230.25)
= 14
Hence, 14 windows was purchased
Positive cosine is first or fourth quadrant. So we don't know the sign of the sine or the tangent.
Everybody's favorite right triangle is 3/4/5 and here we have

So if

then

and

Answer:
f(x) is shifted to the left 2 units of g(x)
f(x) will not be shifted vertically since we did not add anything to g(x)
Step-by-step explanation:
g(x) = x^2+2
f(x) = g(x+2)
When we shift with h(x+c) it is a horizontal shift
if c>0 it moves it left c units
if c< 0 it moves it right c units
Since c is 2, this is shifted left 2 units
f(x) is shifted to the left 2 units of g(x)
When we shift with h(x)+c it is a vertical shift
if c>0 it moves it up c units
if c< 0 it moves it down c units
f(x) will not be shifted vertically since we did not add anything to g(x)