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.
![(10x+13)+(-0.3x^2+47x-13)](https://tex.z-dn.net/?f=%2810x%2B13%29%2B%28-0.3x%5E2%2B47x-13%29)
Eliminate the parenthesis.
![10x+13-0.3x^2+47x-13](https://tex.z-dn.net/?f=10x%2B13-0.3x%5E2%2B47x-13)
Rearrange the terms according to their degree.
![-0.3x^2+47x+10x+13-13](https://tex.z-dn.net/?f=-0.3x%5E2%2B47x%2B10x%2B13-13)
Combine similar terms.
![-0.3x^2+57x](https://tex.z-dn.net/?f=-0.3x%5E2%2B57x)
Therefore, the revenue function r(x) is -0.3x² + 57x or by commutative property, the revenue function R(x) = 57x - 0.3x². (Option 3).
Answer:
Step-by-step explanation:
D
add them up variables
Answer:
791.2 ft
Step-by-step explanation:
The cable is inclined and this acts as the hypotenuse. Since the other two sides are given.
![H=\sqrt {x^{2}+y^{2}}](https://tex.z-dn.net/?f=H%3D%5Csqrt%20%7Bx%5E%7B2%7D%2By%5E%7B2%7D%7D)
where x and y represent the distance between two cliffs apart and difference in heights. Substituting 740 for x and 280 for y then
![H=\sqrt {740^{2}+280^{2}}=791.20161779409930627669981858168023442712 ft\approx 791.2 ft](https://tex.z-dn.net/?f=H%3D%5Csqrt%20%7B740%5E%7B2%7D%2B280%5E%7B2%7D%7D%3D791.20161779409930627669981858168023442712%20ft%5Capprox%20791.2%20ft)
Answer:
B. R/3
Step-by-step explanation:
Answer:The equation of the function shown in the graph is: A ) f (x) = log(2) ( x + 3 ) - 5 .
Step-by-step explanation:We have to choose what is the equation of the function on the graph. We know the parent function: f(x) = log(2) x ( log base 2 ). The new function should be in the form: f(x) = log(2) ( x - a ) + b. The new vertical asymptote is : x = -3, So: a = -3. Now we have: f (x) = log(2)( x + 3 ) + b. After that we will substitute the values of coordinates of the point ( - 5 , - 2 ) which belong to this function. - 5 = log(2) ( - 2 + 3 ) + b. - 5 = log (2) 1 + b ; - 5 = 0 + b; b = - 5.