To achieve a positive profit p(x)>0, we start with:
Next, we solve for x:
The parameters are:
a = -2
b = 7
c = -3
We will apply the quadratic formula:
This yields two results—one a fraction, the other a whole number. We focus on the whole number since the muffins sold must be a complete unit. Thus we conclude:
x>3
Answer:
The earnings gap, over a career spanning 30 years, between men and women totals $1,200,150
Step-by-step explanation:
Calculated annually.
The typical male earns $90,761 each year.
The typical female earns $50,756 per annum.
Therefore, the annual difference is:
90,761 - 50,756 = 40,005
Across 30 years:
30*40,005 = 1,200,150
The earnings gap over a 30-year career, when comparing men and women, is $1,200,150
Response:
The factored expression 
is 
.
Detailed explanation:
Provided:
Our goal is to express the given equation in a factored form.
Factoring pertains to rewriting an expression so that the product of its factors yields the original expression
Let’s consider the expression .
We recognize the algebraic identity 
Thus, we have 
.
Matching with the above identity, we assign x= a, and b = 11, leading to
.
Consequently, the factored expression is .
Answer:
The correct answer appears to be A, please inform me if that is incorrect.
Step-by-step explanation:
