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
To solve this I'm going to split the middle term.
First multiply the first and last terms:
24x^2
So find two numbers that multiply to 24x^2 and add to 11x.
This would be 3x and 8x
Rewrite the problem as
4x^2+3x+8x+6
Take the first and 3rd and 2nd and 4th terms
4x^2 and 8x
and
3x and 6
Factor by grouping
Take out a 4x for the first group to get 4x(x+2)
Take out a 3 for the 2nd group to get 3(x+2)
Rewrite as (4x+3)(x+2)
Hope this helps.
Total square inches of fabric.
To answer this question you need to know how many square inches makes up one square yard.
1296 square inches makes one square yard.
Therefore total square inches =
1296x4.81= 6233.76 square inches
Answer:
Oregano
Step-by-step explanation:
Basil = 3.4
Parsley = 3.5
Dill = 3.15
oregano = 3.6666666
3x+17+5x=7x+10
Simplify:
3x+5x+17=7x+10
8x+17=7x+10
Get the variables on one side:
8x-7x+17=7x-7x+10
x+17=10
One-step equation:
x=-7