Given:
Cost function c(x) = I0x+13
Profit Function p(x) = -0.3x² + 47x - 13
Find: revenue function r(x)
Solution:
To solve for the revenue function, simply add the cost and the profit function.
Eliminate the parenthesis.
Rearrange the terms according to their degree.
Combine similar terms.
Therefore, the revenue function r(x) is -0.3x² + 57x or by commutative property, the revenue function R(x) = 57x - 0.3x². (Option 3).
Consider the polynomial This polynomial has four terms:
- term of 4th degree;
- term of 1st degree;
- term of 2nd degree;
- term of 0 degree or simply the coefficient without variables.
1. What polynomial must be subtracted from it to obtain
You must take off first and second terms at all and add termw with and coefficient. Thus, you have to subtract polynomial .
Check:
2. What polynomial must be added to it to obtain a first degree polynomial?
If you want to obtain a 1st degree polynomial, then you must take off terms of 4th and 2nd degree. So you have to add
Check:
Answer: 1) 2)
Answer:
i think it x² so it can be. ot correct
1) Move the non-x term to the right
x^2 +6x = -c
2) Divide the equation by the coefficient of x^2
(You don't have to because it is one).
3) Get the "x" coefficient, divide it by 2, square it then add it to both sides:
6 divided by 2 = 3
3^2 = 9
x^2 +6x +9 = -c +9
Take the square root of both sides
(x +3) = sq root (9 -c)
x = -3 + sq root (9 -c)