The equation of the line graphed below would be D. I can find two points that are easily distinguishable on this graph. (1, 5) and (0, 0). I found the slope by subtracting 0 from 5 giving me -5. Next, I subtracted 0 and 1 giving me -1. This gives me a fraction of -5/-1 which equals to 5.
Answer:
Average rate of change = 
Step-by-step explanation:
Average rate of change of a function 'f' in the interval a ≤ x ≤ b is given by,
Average rate of change = 
We have to find the average rate of change in the interval 20 ≤ x ≤ 65
From the table attached,
f(65) = 32
f(20) = 14
Average rate of change = 
= 
=
Therefore, average rate of change in the given interval is .
Answer:
A simple exponential function to graph is y=2x . Notice that the graph has the x -axis as an asymptote on the left, and increases very fast on the right. Changing the base changes the shape of the graph. Replacing x with −x reflects the graph across the y -axis; replacing y with −y reflects it across the x -axis.
Answer:
The length of rectangular plot of land is 160 ft.
Step-by-step explanation:
L = 2 W (the length is twice the width)
P = 480 ft. (perimeter of rectangular plot of land)
L = ?
2. 2W + 2W= 480 ft >>> (2 times twice width=L) + 2W=480 ft.
4W + 2W= 480 ft >>>> 6W= 480 ft.
W= 80 ft.
L = 2. 80 = 160 ft. (Length is twice the width)
P= 2L + 2W (formula for the perimeter)
2. 160 + 2. 80 = 480 ft.
the height of the prism is 12 centimeters
