You would do 16 divided by 4 to get your answer. The answer is 4.
Information about concavity is contained in the second derivative of a function. Given f(x) = ax² + bx + c, we have
f'(x) = 2ax + b
and
f''(x) = 2a
Concavity changes at a function's inflection points, which can occur wherever the second derivative is zero or undefined. In this case, since a ≠ 0, the function's concavity is uniform over its entire domain.
(i) f is concave up when f'' > 0, which occurs when a > 0.
(ii) f is concave down when f'' < 0, and this is the case if a < 0.
In Mathematica, define f by entering
f[x_] := a*x^2 + b*x + c
Then solve for intervals over which the second derivative is positive or negative, respectively, using
Reduce[f''[x] > 0, x]
Reduce[f''[x] < 0, x]
C. 19.42% because you subtract 389.85 from 314.15 which equals 75.7. So then set it up like an algebraic equation. 389.85x=75.7 divide 75.7 by 389.85 to find the decimal. Then you have to move the decimal to the right two places, since it is a percentage. And then round your answer, so c. 19.42% is your answer. Hope this helped! :)
Answer:
$48
Step-by-step explanation:
if youre paying 9.60 in tax and the tax is 20% you have to find out what 9.60 is 20% of
and 9.60 is 20% of 48
Given:
The revenue function is
The cost function is
To find:
The profit function.
Solution:
We know that, the total profit P is defined as total revenue R minus total cost C.
So, the profit function is
Therefore, the profit function is .