Answer:
x^2+2x+2
Step-by-step explanation:
If the roots of the equation are -1\pm i, then by the zero product rule:

You can confirm this with the quadratic equation:

Hope this helps!
Answer:
Jerry will have two apples only
4-2=2
Answer:
The function's input = x = -20
Step-by-step explanation:
Given the function
y = -75 - 5x
Given that the output = y = 25
substituting the value y=25 and solve to find the input 'x'
25 = -75 - 5x
5x = -75-25
5x = -100
Divide bothe side by 5
x = -20
Thus, the function's input = x = -20
Answer:
f(2x + 4) = -4x² - 16x - 15
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Distributive Property
<u>Algebra I</u>
- Terms/Coefficients
- Expanding (FOIL)
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
f(x) = 1 - x²
<u>Step 2: Evaluate</u>
- Substitute in <em>x</em> [Function f(x)]: f(2x + 4) = 1 - (2x + 4)²
- Expand [FOIL]: f(2x + 4) = 1 - (4x² + 16x + 16)
- (Parenthesis) Distribute negative: f(2x + 4) = 1 - 4x² - 16x - 16
- Combine like terms: f(2x + 4) = -4x² -16x - 15