Answer:
Step-by-step explanation:
Given
Required
Determine the length of TU (i.e. x)
Because both shapes are similar, then the following equivalent ratios exist:
Substitute values for NO, OP, TU and UV
Represent as fraction
Multiply both sides by 6
Hence:
Hello,
To solve this function for f(4) we need to plug 4 into f(x) and the result will be our answer. We know that f(x) is
. Plugging in 4 we get
. Therefore, f(4)=41. Hope this helps!
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:
$14
Step-by-step explanation:
56 × 0.25 = 14
to check this, you can divide 14 ÷ 56 = 0.25
to turn a percentage into a decimal, just divide it by 100
Be nice if we were sure of the question. I will guess that you want the hypotenuse.
c^2 = a^2 + b^2
a = 6 km
b = 6 km
c^2 = 36 + 36
c^2 = 72
c = sqrt(72)
c = sqrt(9 * 8)
c = 3*sqrt(8)
c = 3 * 2.83
c = 8.49
