What is the image of the point (-5, 6) after a rotation of 90°
1 answer:
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Answer:
Step-by-step explanation:
From the origin we can see to get to the point plotted we have to go down 1 and right three giving us the slope
These are in the form of y=mx+b
b is the y-intercept and m is the slope
since the y-intercept is 0 b is 0 and isn't need leaving us with y=mx
We can put our slope into the equation giving us the answer in C
Given:
Nana has a water purifier that filters of the contaminants each hour.
Water has contaminants =
To find:
The function that gives the remaining amount of contaminants in kilograms, C(t), t hours after Nana started purifying the water.
Solution:
Let C(t) be the remaining amount of contaminants in kilograms after t hours.
Initial amount of contaminants =
Decreasing rate is .
Using the exponential decay model:
where, is initial amount of contaminants, r is the decreasing rate and t is time in hours.
Substituting the values, we get
Therefore, the required function is .