3+3 is the answer to this
Slope:-
Equation in point slope form
Option A
Answer:
![f(x) + g(x) = 2x^3 + x^2 + 12x + 13](https://tex.z-dn.net/?f=f%28x%29%20%2B%20g%28x%29%20%3D%202x%5E3%20%2B%20x%5E2%20%2B%2012x%20%2B%2013)
Step-by-step explanation:
We are given these following functions:
![f(x) = 2x^3 - 3x^2 + 7x + 1](https://tex.z-dn.net/?f=f%28x%29%20%3D%202x%5E3%20-%203x%5E2%20%2B%207x%20%2B%201)
![g(x) = 4x^2 + 5x + 12](https://tex.z-dn.net/?f=g%28x%29%20%3D%204x%5E2%20%2B%205x%20%2B%2012)
Add: f(x)+g(x)
To add them, we combine the like terms. So
![f(x) + g(x) = 2x^3 - 3x^2 + 7x + 1 + 4x^2 + 5x + 12 = 2x^3 + (-3+4)x^2 + (7+5)x + 1 + 12 = 2x^3 + x^2 + 12x + 13](https://tex.z-dn.net/?f=f%28x%29%20%2B%20g%28x%29%20%3D%202x%5E3%20-%203x%5E2%20%2B%207x%20%2B%201%20%2B%204x%5E2%20%2B%205x%20%2B%2012%20%3D%202x%5E3%20%2B%20%28-3%2B4%29x%5E2%20%2B%20%287%2B5%29x%20%2B%201%20%2B%2012%20%3D%202x%5E3%20%2B%20x%5E2%20%2B%2012x%20%2B%2013)
The added function is:
![f(x) + g(x) = 2x^3 + x^2 + 12x + 13](https://tex.z-dn.net/?f=f%28x%29%20%2B%20g%28x%29%20%3D%202x%5E3%20%2B%20x%5E2%20%2B%2012x%20%2B%2013)
0.45 (weight of each cupcake) *100 (number of cupcakes) = 45
The box of 100 cupcakes will weight 45 pounds. :)