To make a positive profit p(x)>0 we need to make:

Now we solve this for x:

We have:
a = -2
b = 7
c = -3
We will use formula for quadratic equation:

We got two solutions. One is fraction other is whole number. We will not consider fraction because the amount of muffins sold must be whole number. So our solution is:
x>3
Answer:
Step-by-step explanation:
The area of solutions of the first inequality lies above an orange straight line.
The area of solutions of the second inequality lies below a blue straight line.
These areas are crossed in the yellow field.
The green field does not meet a condition of the second inequality and therefore does not enter the area of the solution of a system of inequalities
<span>20.28% is the answer</span>
Answer:
3964 in³
Step-by-step explanation:
volume of sphere: V = 4/3 πr³
v₁ = 4/3 x 3.14 x 7³ = 1436
volume of prism: v = Bh B = 15 x 18 = 270 h = 20
v₂ = 270 x 20 = 5400
v₂ - v₁ = 5400 - 1436 = 3964 in³