Answer:
y=3x-2
Step-by-step explanation:
![\frac{4-(-11)}{2-(-3)} =\frac{15}{5} =3](https://tex.z-dn.net/?f=%5Cfrac%7B4-%28-11%29%7D%7B2-%28-3%29%7D%20%3D%5Cfrac%7B15%7D%7B5%7D%20%3D3)
m=3 so using point-slope intercept form
![y-y_{1}=m(x-x_{1} )](https://tex.z-dn.net/?f=y-y_%7B1%7D%3Dm%28x-x_%7B1%7D%20%29)
y-4=3(x-2)
3x-6
+4 +4
y=3x-2
Answer:
i think its the 3rd one very sorry if im wrong
Step-by-step explanation:
Answer:
Step-by-step explanation:
u do 5 times x then do 1 times f .
Answer:
-3.98 (nearest hundredth)
Step-by-step explanation:
The average rate of change of function f(x) over the interval a ≤ x ≤ b is given by:
![\dfrac{f(b)-f(a)}{b-a}](https://tex.z-dn.net/?f=%5Cdfrac%7Bf%28b%29-f%28a%29%7D%7Bb-a%7D)
Given interval: -2 ≤ x ≤ 2
![\implies a = -2](https://tex.z-dn.net/?f=%5Cimplies%20a%20%3D%20-2)
![\implies b = 2](https://tex.z-dn.net/?f=%5Cimplies%20b%20%3D%202)
![\implies f(a) = f(-2)=16](https://tex.z-dn.net/?f=%5Cimplies%20f%28a%29%20%3D%20f%28-2%29%3D16)
![\implies f(b) =f(2)= \dfrac{1}{16}](https://tex.z-dn.net/?f=%5Cimplies%20f%28b%29%20%3Df%282%29%3D%20%5Cdfrac%7B1%7D%7B16%7D)
Substituting the values into the equation:
![\begin{aligned}\implies \textsf{rate of change} & =\dfrac{\frac{1}{16}-16}{2-(-2)}\\\\ & = \dfrac{-\frac{255}{16}}{4}\\\\ & = -\dfrac{255}{64}\\\\ & = -3.98\: \sf (nearest\:hundredth)\end{aligned}](https://tex.z-dn.net/?f=%5Cbegin%7Baligned%7D%5Cimplies%20%5Ctextsf%7Brate%20of%20change%7D%20%26%20%3D%5Cdfrac%7B%5Cfrac%7B1%7D%7B16%7D-16%7D%7B2-%28-2%29%7D%5C%5C%5C%5C%20%26%20%3D%20%5Cdfrac%7B-%5Cfrac%7B255%7D%7B16%7D%7D%7B4%7D%5C%5C%5C%5C%20%26%20%3D%20-%5Cdfrac%7B255%7D%7B64%7D%5C%5C%5C%5C%20%26%20%3D%20-3.98%5C%3A%20%5Csf%20%28nearest%5C%3Ahundredth%29%5Cend%7Baligned%7D)