Answer:
Step-by-step explanation:
Area. of circle =πr²
Area. of circle =3×2×2
Area. of circle =12ft²
T(z)=z-8
T(-2)=-2-8 therefore
T(-2)=-10
Hope this helps.
Answer:

General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
<u>Calculus</u>
Discontinuities
- Removable (Holes)
- Jump (Piece-wise functions)
- Infinite (Asymptotes)
Step-by-step explanation:
<u>Step 1: Define</u>
<u />
<u />
<u />
<u>Step 2: Simplify</u>
- [Frac - Numerator] Factor quadratic:

- [Frac - Denominator] Factor GCF:

- [Frac] Divide/Simplify:

When we divide (x + 2), we would have a <em>removable</em> <em>discontinuity</em>. If we were to graph the original function, we would see at x = -2 there would be a hole in the graph.
Using the vertex of the quadratic equation, it is found that the maximum profit she can earn is of $106.
<h3>
What is the vertex of a quadratic equation?</h3>
A quadratic equation is modeled by:

The vertex is given by:

In which:


Considering the coefficient a, we have that:
- If a < 0, the vertex is a maximum point.
- If a > 0, the vertex is a minimum point.
In this problem, her profit is modeled by:

Which is a quadratic equation with coefficients a = -1, b = 14, c = 57, hence, her maximum profit in dollars is given by:

More can be learned about the vertex of a quadratic equation at brainly.com/question/24737967