Answer:24
Step by step explanation:
Ans: The average rate of change of function =
![\frac{1}{102}](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B102%7D%20)
(in fraction)
Explanation:The average rate of change of function =
![\frac{f(b) - f(a)}{b - a}](https://tex.z-dn.net/?f=%20%5Cfrac%7Bf%28b%29%20-%20f%28a%29%7D%7Bb%20-%20a%7D%20)
Where
b = 8 (x's upper bound)
a = 0 (x's lower bound)
![f(b) = f(8) = \frac{2*8-2}{5*8-6} = \frac{7}{17} \\ f(a) = f(0) = \frac{2*0-2}{5*0-6} = \frac{1}{3} \\ \frac{f(b) - f(a)}{b-a} = \frac{ \frac{7}{17} - \frac{1}{3}}{8} = \frac{1}{102}](https://tex.z-dn.net/?f=f%28b%29%20%3D%20f%288%29%20%3D%20%20%5Cfrac%7B2%2A8-2%7D%7B5%2A8-6%7D%20%3D%20%20%5Cfrac%7B7%7D%7B17%7D%20%5C%5C%20f%28a%29%20%3D%20f%280%29%20%3D%20%20%5Cfrac%7B2%2A0-2%7D%7B5%2A0-6%7D%20%3D%20%20%5Cfrac%7B1%7D%7B3%7D%20%5C%5C%20%20%5Cfrac%7Bf%28b%29%20%20-%20f%28a%29%7D%7Bb-a%7D%20%3D%20%20%5Cfrac%7B%20%5Cfrac%7B7%7D%7B17%7D%20-%20%20%5Cfrac%7B1%7D%7B3%7D%7D%7B8%7D%20%3D%20%20%5Cfrac%7B1%7D%7B102%7D%20%20%20)
Hence the average rate of change of function =
![\frac{1}{102}](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B102%7D%20)
(in fraction)
Answer:
The new points to the triangle will be:
![A(-6, 6)\\B(-6, 3)\\C(-8, 3)](https://tex.z-dn.net/?f=A%28-6%2C%206%29%5C%5CB%28-6%2C%203%29%5C%5CC%28-8%2C%203%29)
Step-by-step explanation:
Because the reflection point is at
, all x values will subtract their distances from
to get their new values. The y values remain the same.
The starting values are:
![A(4,6)\\B(4,3)\\C(6,3)](https://tex.z-dn.net/?f=A%284%2C6%29%5C%5CB%284%2C3%29%5C%5CC%286%2C3%29)
Point
is 5 units away from
, so we'll subtract 5 from -1 to get the new x value:
, so
.
Point
is also 5 unit away from
, so we'll subtract 5 from -1 to get the new x value:
, so
.
Point
is 7 units away from
, so we'll subtract 7 from -1 to get the new x value:
, so
.
Answer:
The sum of -8 and 3 is -5