Answer:
c = 175
Step-by-step explanation:
When the height of a right triangle is shown this way (at right angles with the hypotenuse, It can be found by using the way the hypotenuse is broken up. The following proportion works.
576/x = x / 49 Cross multiply
x^2 = 576 * 49
sqrt(x^2) = sqrt(576*49)
x = 24 * 7
x = 168
But that's not what you want (although it is close).
What you want is the hypotenuse to the small lower triangle
c = ?
a = 49
b = 168
c^2 = 49^2 + 168^2
c^2 = 2401 + 28224
c^2 = 30625
c = sqrt(30625)
c = 175
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:
0.07x - 0.002x^2 - 0.3
Step-by-step explanation:
Given the expression shown (0.2x-1)+(0.3-0.01x)
Expand
(0.2x-1)+(0.3-0.01x)
= 0.2x(0.3) - 0.2x(0.01x)-1(0.3) + 1(0.01x)
= 0.06x - 0.002x^2 - 0.3 + 0.01x
= 0.06x+0.01x - 0.002x^2 - 0.3
= 0.07x - 0.002x^2 - 0.3
This gives the required expression
