Answer:
(0, inf)
Step-by-step explanation:
The average rate of change of a function is related to it's first derivative. When the first derivative is positive, the average rate of change is positive, which means that the function is crescent.
Now, when the first derivative is negative, the average rate of change will be negative too, and the function is going to be decrescent.
In your function.
We have: f'(x) = 2x
2x > 0 when x > 0. So when x > 0 the average rate of change of your function is positive, and it's values increases as the time increases. When x < 0, the average rate of change is negative, so, as the time increases, the values of f decrease.
You can use a graphic tool to plot f and visualize this better.
Answer:
3(9m + 13) - (m + 10) = 1
Step-by-step explanation:
Here, we want to write an equation we can use to find the age of Mario.
Let the present age of Mario be M
Age of Sarah is 3 years older than 9
times Mario’s age
Mario’s age is thus;
9m + 3
In ten years, she will be 1 less than triple his age
In 10 years time, sarah age will be 9m +
3 + 10 = 9m + 13
Mario age will be m + 10
Mathematically;
3(9m + 13) - (m + 10) = 1
9.89%
You can get this number by multiplying the two together.
184/525
(this is me adding characters)
Note the coordinates of each point: R(-4, 5), S(5, 1), T(2, -3).
The centroid is the point whose coordinates are the average of the coordinates of R, S, and T.
<em>x</em>-coordinate: (-4 + 5 + 2)/3 = 3/3 = 1
<em>y</em>-coordinate: (5 + 1 - 3)/3 = 3/3 = 1
So the centroid is (1, 1).
