Answer:
Step-by-step explanation:
To add matrices, we add the corresponding components.
The given matrices is
We add the corresponding components to get;
We simplify to get:
The number of books borrowed from a library each week follows a normal distribution. When a sample is taken for several weeks, t
2 answers:
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The function is 
1. let's factorize the expression
:
the zeros of f(x) are the values of x which make f(x) = 0.
from the factorized form of the function, we see that the roots are:
-3, multiplicity 1
3, multiplicity 1
0, multiplicity 3
(the multiplicity of the roots is the power of each factor of f(x) )
2.
The end behavior of f(x), whose term of largest degree is
, is the same as the end behavior of 
, which has a well known graph. Check the picture attached.
(similarly the end behavior of an even degree polynomial, could be compared to the end behavior of
)
so, like the graph of, the graph of :
"As x goes to negative infinity, f(x) goes to negative infinity, and as x goes to positive infinity, f(x) goes to positive infinity. "
1. let's factorize the expression
the zeros of f(x) are the values of x which make f(x) = 0.
from the factorized form of the function, we see that the roots are:
-3, multiplicity 1
3, multiplicity 1
0, multiplicity 3
(the multiplicity of the roots is the power of each factor of f(x) )
2.
The end behavior of f(x), whose term of largest degree is
(similarly the end behavior of an even degree polynomial, could be compared to the end behavior of
so, like the graph of
"As x goes to negative infinity, f(x) goes to negative infinity, and as x goes to positive infinity, f(x) goes to positive infinity. "
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: