Answer:
n = 8
Step-by-step explanation:
Continuing the sequence using
+ 
x₄ = x₂ + x₃ =1 + 2 = 3
x₅ = x₃ + x₄ = 2 + 3 = 5
x₆ = x₄ + x₅ = 3 + 5 = 8
x₇ = x₅ + x₆ = 5 + 8 = 13
x₈ = x₆ + x₇ = 8 + 13 = 21
x₉ = x₇ + x₈ = 13 + 21 = 34
x₁₀ = x₈ + x₉ = 21 + 34 = 55 ← with n = 8
10,000 dollars is the answer
Equilateral, isosceles, and acute
Answer:
1. x2 - 9 > 0
x^2-3^2>0
(x+3)(x-3)>0
(x+3)>0 and (x-3)>0
x>-3 and x>3
2. x2 - 8x + 12 > 0
x^2 - 8x +12>0
x^2 -2x -6x +12 >0 (-8x is replaced by (-2x) + (-6x) )
x(x-2) -6(x-2) >0
(x-6)(x-2)>0
(x-6)>0 and (x-2)>0
x>6 and x>2
3. -x2 - 12x - 32 > 0
-x^2 -12x -32 >0
x^2 +12x +32 <0
x^2 +4x +8x +32<0
x(x+4) +8(x+4)<0
(x+8)(x+4)<0
(x+8)<0 and (x+4)<0
x<-8 and x<-4
4. x2 + 3x - 20 >= 3x + 5
x^2 +3x -20 >= 3x +5
x^2 +3x -20 -3x >= 3x +5 -3x
x^2 -20 >= 5
x^2 -20 +20 >= 5 +20
x^2 >=25
x^2-25 >=0
(x-5)(x+5)>=0
(x-5)>=0 and (x+5)>=0
x>=5 and x>=-5
