Answer:
a. -5
b.-5
c.-5
Step-by-step explanation:
In order to find the average rate of change of a function , we divide the change in the output value by the change in the input value.
Generally, the average rate of change (ARC) on an ecuatios between two points (x1,f(x1)) and (x2,f(x2)) is
- ARC = [f(x2)-f(x1)]/ (x2-x1)
<em>In case a)</em>
f(-1)= -5*(-1)-8=5-8= -3 f(3)= -5*3-8= -23
Then ARC= (-23-(-3))/(3-(-1))=-20/4=-5
<em>In case b)</em>
f(a)= (-5a-8)
f(b)= (-5b-8)
Then ARC= [(-5b-8)-(-5a-8)]/(b-a)= (-5b+5a)/(b-a)= -5(b-a)/(b-a)= -5
<em>In case c)</em>
f(x)= -5x-8
f(x+h)= -5(x+h)-8= -5x-5h-8
then ARC= [(-5x-5h-8)-(-5x-8)]/(x+h-x) =-5h/h= -5
Answer:
Cody made a mistake when calculating the slope of the line and this affected every other steps after than.
She divided -3 by 6 instead of -3 by 1/6
Step-by-step explanation:
Given
<em>See attached for steps</em>
Required
Explain Cody's error
<em>Cody made a mistake when calculating the slope of the line and this affected every other steps after than.</em>
See Proof
Slope (m) is calculated as thus:
This is in contrast to 
, calculated by Cody
Solving further to determine the equation.
Where
Collect Like Terms
Answer:
The Y intercept is -5 and the slope is -5/2
Answer:
A = 28.125 * pi cm^2
A = 88.357 cm^2
Step-by-step explanation:
Area of a sector is 1/2 r^2 theta where theta is in radians
convert 45 degrees to radians
theta = 45 * pi/180 = pi/4
A = 1/2 * 15^2 * pi/4
A =1/2 * 225 * pi/4
A = 28.125 * pi cm^2
A = 88.357 cm^2
The answer I got was a=5. Hope this is correct and hope it helped
