Hey there! :)
Answer:
y -3 = -2(x + 4).
Step-by-step explanation:
Begin by calculating the slope of the line shown in the graph. Use the slope formula:
![m = \frac{\text{rise}}{\text{run}} = \frac{y_2 - y_1}{x_2 - x_1}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7B%5Ctext%7Brise%7D%7D%7B%5Ctext%7Brun%7D%7D%20%3D%20%5Cfrac%7By_2%20-%20y_1%7D%7Bx_2%20-%20x_1%7D)
Plug in two coordinates:
![m = \frac{1-(-3)}{4-(-4)}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7B1-%28-3%29%7D%7B4-%28-4%29%7D)
Simplify:
![m = \frac{4}{8}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7B4%7D%7B8%7D)
![m = \frac{1}{2}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7B1%7D%7B2%7D)
Therefore, the slope of the line is 1/2.
A line that is perpendicular contains a slope that is the negative reciprocal. Therefore:
1/2 --> -2.
Plug the slope into the point-slope formula:
y -3 = -2(x + 4). This is your equation in point-slope form!
Answer:
the second one g(x){f(x)=x^(2)-2x-2
Step-by-step explanation:
hope this is right
Answer:
C
Step-by-step explanation:
Answer:
1092
Step-by-step explanation:
We have been given that the number of bacteria in the colony t minutes after the initial count modeled by the function
. We are asked to find the average rate of change in the number of bacteria over the first 6 minutes of the experiment.
We will use average rate of change formula to solve our given problem.
![\text{Average rate of change}=\frac{f(b)-f(a)}{b-a}](https://tex.z-dn.net/?f=%5Ctext%7BAverage%20rate%20of%20change%7D%3D%5Cfrac%7Bf%28b%29-f%28a%29%7D%7Bb-a%7D)
Upon substituting our given values, we will get:
![\text{Average rate of change}=\frac{b(6)-b(0)}{6-0}](https://tex.z-dn.net/?f=%5Ctext%7BAverage%20rate%20of%20change%7D%3D%5Cfrac%7Bb%286%29-b%280%29%7D%7B6-0%7D)
![\text{Average rate of change}=\frac{9(3)^6-9(3)^0}{6}](https://tex.z-dn.net/?f=%5Ctext%7BAverage%20rate%20of%20change%7D%3D%5Cfrac%7B9%283%29%5E6-9%283%29%5E0%7D%7B6%7D)
![\text{Average rate of change}=\frac{9(729)-9(1)}{6}](https://tex.z-dn.net/?f=%5Ctext%7BAverage%20rate%20of%20change%7D%3D%5Cfrac%7B9%28729%29-9%281%29%7D%7B6%7D)
![\text{Average rate of change}=\frac{6561-9}{6}](https://tex.z-dn.net/?f=%5Ctext%7BAverage%20rate%20of%20change%7D%3D%5Cfrac%7B6561-9%7D%7B6%7D)
![\text{Average rate of change}=\frac{6552}{6}](https://tex.z-dn.net/?f=%5Ctext%7BAverage%20rate%20of%20change%7D%3D%5Cfrac%7B6552%7D%7B6%7D)
![\text{Average rate of change}=1092](https://tex.z-dn.net/?f=%5Ctext%7BAverage%20rate%20of%20change%7D%3D1092)
Therefore, the average rate of change in the number of bacteria is 1092 bacteria per minute.
Answer:
d
Step-by-step explanation:
I already did this before