Answer:
Step-by-step explanation:
By definition, the average rate of change of a function f over an interval [a,b] is given by

compute the quantity

for all the three function
Average rate of change of f:
We will simply use the table to check the values for f(3) and f(0):

Average rate of change of g:
We will use the graph to to check the values for g(3) and g(0):

Average rate of change of h:
We can plug the values in the equation to get h(3) and h(0):

And so the average rate of change is

9514 1404 393
Answer:
a. -4
Step-by-step explanation:
When using the "diamond method" for factoring quadratics, the bottom number is the coefficient of the linear term. In this quadratic, it is -4.
The bottom number is -4.
Answer:
On a unit circle, the point that corresponds to an angle of
is at position
.
The point that corresponds to an angle of
is at position
.
Step-by-step explanation:
On a cartesian plane, a unit circle is
- a circle of radius
, - centered at the origin
.
The circle crosses the x- and y-axis at four points:
Join a point on the circle with the origin using a segment. The "angle" here likely refers to the counter-clockwise angle between the positive x-axis and that segment.
When the angle is equal to
, the segment overlaps with the positive x-axis. The point is on both the circle and the positive x-axis. Its coordinates would be
.
To locate the point with a
angle, rotate the
segment counter-clockwise by
. The segment would land on the positive y-axis. In other words, the
-point would be at the intersection of the positive y-axis and the circle. Its coordinates would be
.
Answer:
15 packages
Step-by-step explanation:
Set up a proportion, where x is the number of packages she can wrap with 2.5 rolls of wrapping paper:
= 
Cross multiply and solve for x:
0.5x = 7.5
x = 15
So, with 2.5 rolls of wrapping paper, she can wrap 15 packages