Answer:
The average rate of change for f(x) from x=−1 to x = 4 is, 1
Step-by-step explanation:
Average rate A(x) of change for a function f(x) over [a, b] is given by:

As per the statement:

we have to find the average rate of change from x = -1 to x = 4
At x = -1

and
at x = 4

Substitute these in [1] we have;

⇒
⇒
Simplify:
A(x) = 1
Therefore, the average rate of change for f(x) from x=−1 to x = 4 is, 1
(11/2) x ((3/7) / (3/10)
(11/2) x (3/7) x (10/3)
330/42
7 6/7 or 7.857142857 ( or 7.86 rounded to nearest hundredth)
Answer:
D. reflection across a vertical line
Step-by-step explanation:
Reflection is basically a mirror image. Since you can see that the first triangle is flipped over to get the second one, this is a reflection.
It is not a vertical translation; this means that the triangle shifted up or down.
It is not a horizontal translation, this means that the triangle shifted left or right.
It is not a rotation about point A either, this would have meant that the triangle spun around.
Answer:
a ^ 2 - b ^ 2 = ( a + b ) ( a - b ) where a = 4p and b = 3q.
( 4p + 3q ) ( 4p - 3q )