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:
no
Step-by-step explanation:
11/4 plus 11/4 is 22/4
to make this a whole number and a fraction we subtract 4 from the 22 as many times as we can. we can do this 5 times, with 2 left over.
the answer is 5 2/4, which you can simplify to 5 and a half
Answer:
Never
Never
Never
Step-by-step explanation:
The equations given are
2x1−6x2−4x3 = 6 ....... (1)
−x1+ax2+4x3 = −1 ........(2)
2x1−5x2−2x3 = 9 ..........(3)
the values of a for which the system of linear equations has no solutions
Let first add equation 1 and 2. Also equation 2 and 3. This will result to
X1 + (a X2 - 6X2) - 0 = 5
And
X1 + (aX2-5X2) + 2X3 = 8
Since X2 and X3 can't be cancelled out, we conclude that the value of a is never.
a unique solution,
Let first add equation 1 and 2. Also equation 2 and 3. This will result to
X1 + (a X2 - 6X2) - 0 = 5
And
X1 + (aX2-5X2) + 2X3 = 8
The value of a = never
infinitely many solutions.
Divide equation 1 by 2 we will get
X1 - 3X2 - 2X3 =3
Add the above equation with equation 3. This will result to
3X1 - 8X2 - 4X3 = 12
Everything ought to be the same. Since they're not.
Value of a = never.
