Answer: 
Step-by-step explanation:
First integrate f'(x) so we can find the funtion f(x):
![4\int\limits {x} \, dx =4[\frac{1}{2} x^2]=2x^2+C=f(x)](https://tex.z-dn.net/?f=4%5Cint%5Climits%20%7Bx%7D%20%5C%2C%20dx%20%3D4%5B%5Cfrac%7B1%7D%7B2%7D%20x%5E2%5D%3D2x%5E2%2BC%3Df%28x%29)
The initial conditions say that when x = 0, the function equals 5. Let's write that down:

Therefore, the integration constant 'C' must equal 5. This means that our function is:

Answer:
36 inches
Step-by-step explanation:
lets think of it as a ratio,
80:w
20:9
so we want 20 to get to 80
and 9 to get to w right?
so if we just move the smaller rectangle to the corner, then 20*4=80 right?
and if we do that, we do it to 9 as well, 9*4=36
w=36
Answer:
Take the amount spent and subtract it from the amount made to find profit/loss
Answer:
The number is -1/2.
Step-by-step explanation:
I am assuming they are fractions. So we have the equation:
5/2 x + 2/3 = -7/12
We multiply through by 12 to eliminate the fractions:
5/2 * 12 x + 2/3 * 12 = -7/12 * 12
30x + 8 = -7
30x = -15
x = -15/30
x = -1/2.