By definition we have that the average rate of change of the function is:

Evaluating the function for the complete interval we have that the AVR is given by:

Rewriting we have:

Simplifying the expression we have:


Answer:
the average rate of change of the function defined by the table is:

Answer:
Just took test, got it right. In the following:
Step-by-step explanation:
Scenarios:
A- Survey
B- Observation
C- Experiment
D- Survey
Answer:
VK = x = 98 mm
Step-by-step explanation:
TY is the bisector of angle T, so it divides segments of the triangle proportionally. That is, ...
VY/VT = KY/KT
VY = VT·KY/KT = (57 mm)·68/192.2 = 30 mm
Then
VK = VY + YK = 30 mm + 68 mm
VK = 98 mm
Answer:
(-2, 5)
Step-by-step explanation:
I will assume that your system is
y = -4x - 3
y = -2x + 1
Multiplying the second equation by -2 results in
y = -4x - 3
-2y = 4x - 2
combining these two equations eliminates x temporarily:
-y = -5, so that y must be 5.
Substituting 5 for y in the second equation, we get:
5 = -2x + 1, or
4 = -2x, which results in x = -2
and so the solution is (-2, 5)