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Answer:

General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
- Midpoint Formula:

Step-by-step explanation:
<u>Step 1: Define</u>
A (-3, -5)
B (2, 7)
<u>Step 2: Find midpoint</u>
- Substitute:

- Add:

- Divide:

Answer:
20 Bicycles
Step-by-step explanation:
The function for the average cost,C(x) [in hundred of dollars] per bicycle whenever x hundred bicycles are built is given as:

The minimum value of C occurs at the axis of symmetry.
Axis of Symmetry, 
Comparing with the standard form of a quadratic equation 
a=0.5, b=-0.2

x=0.2 Hundreds =0.2 X 100 =20
When Aki's Bicycle Designs produces 20 Bicycles, the cost is minimized.
Answer:
1 ± i(1/2)√2
Step-by-step explanation:
Write this quadratic in standard form: subtract 3 from both sides. This results in 2x^2 - 4x - 3 = 0. Let's apply the quadratic formula. The coefficients of the x terms are 2, -4 and -3, so the discriminant is (-4)^2 - 4(2)(-3), or 16 - 24 = -8.
Following the format of the quadratic formula, we get
-(-4) ±i2√8 4 ±i2√2
x = ----------------- = --------------- = 1 ± i(1/2)√2
4 4