Answer:

Step-by-step explanation:
Simplify:
45 = 5 * 3 * 3
60 = 5 * 3 * 2 * 2
GCF = 5*3 = 15


Answer:
f(-5) = 35
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
f(x) = x² + 10
f(-5) is x = -5
<u>Step 2: Evaluate</u>
- Substitute: f(-5) = (-5)² + 10
- Exponents: f(-5) = 25 + 10
- Add: f(-5) = 35
Answer:
x₁ = -4
x₂ = 3
Step-by-step explanation:
x²+ x + 12 = 0
x = {-1±√((1²)-(4*1*-12))} / (2*1)
x = {-1±√(1+48)} / 2
x = {-1±√49} / 2
x = {-1±7} / 2
x₁ = {-1-7} / 2 = -8/2 = -4
x₂ = {-1+7} / 2 = 6/2 = 3
Check:
x₁
-4² + (-4) - 12 = 0
16 - 4 - 12 = 0
x₂
3² + 3 - 12 = 0
9 + 3 - 12 = 0