1) Taking in account that the function is f(x)= -(2/3) |x+4|-6, I enclose a file with the graph.
That helps you to conclude:
a) The graph of f(x) has a vertex on (-4, -6)
b) When you multiply a function times 2/3 it is vertically compressed which is equivalent to horizontally streched.
c) The graph of f(x) opens downward
d) The domain of f(x) is all the real values (the absolute function accepts any value of x either positive or negative)
Answer: the graph of f(x) is horizontally stretched.
Answer:
x greater than or equal to 5
Answer:
a) $0.97
b) $0.16
c) $24.30
Step-by-step explanation:
$0.09 per kilowatt hour = $0.09/kWh
6h/day 30 days = 180h
a) 60W*180h = 10800 Wh = 10.8kWh
10.8kWh * $0.09/kWh = $0.97
b) P = V*I
V = 120V
I = 80mA = 80/1000 = 0.08A
P = 120*0.08 = 9.6W
9.6W*180h = 1728 Wh = 1.728kWh
1.728kWh * $0.09/kWh = $0.16
c) 1500W*180h = 270000 Wh = 270kWh
270kWh * $0.09/kWh = $24.30
560 - 164 = 396
396 / 3 = 132....each of the 3 crew members received $ 132
Solution:
Vertical angles are a pair of opposite angles formed by intersecting lines. re vertical angles. Vertical angles are always congruent.
These two angles (140° and 40°) are Supplementary Angles because they add up to 180°:
Notice that together they make a straight angle.
Hence,
From the image
The following pairs form vertical angles

Hence,
One pair of the vertical angles is ∠1 and ∠3
Part B:
Two angles are said to be supplementary when they ad together to give 180°
Hence,
From the image,
The following pairs are supplementary angles

Hence,
One pair of supplementary angles is ∠5 and ∠6