Answer:
x ∈ (-∞, 3) U (6, ∞).
Step-by-step explanation:
We use factorization and optain
Then, we have two critical points: x=3 and x=6. Now:
(i) for x < 3 we have that x-6 <0 and x-3 <0. Then (x-6)(x-3) > 0.
(ii) for 3 < x < 6 we have that x -6 <0 and x -3 > 0. Then (x-6)(x-3) < 0.
(iii) for x > 6 we have that x-6 >0 and x-3 > 0. Then, (x-6)(x-3) > 0.
conditions (i) and (iii) satisfy the inequatliy, then the solution is x ∈ (-∞, 3) U (6, ∞).
The graph is in the picture below.
Total seats: 52 x 7 + 8 x 12 = 364 + 96 = 460
Total cost for total seats = 460 x 23 = 10,580
Cost for buses: 150 x 7 + 80 x 8 = 1050 + 640 = 1690
Total cost = 10,580 + 1,690 = $12,270
Answer:
c a(n+10)
Step-by-step explanation:
[(-1)^(n+1)] × (5^n)
an > 0
a(n+5) = (-1)⁵ × 5^(n+5) < 0
a(n+10) = (-1)¹⁰ × 5^(n+10) > 0
a(n+15) = (-1)¹⁵ × 5^(n+15) < 0
Since a^n is positive, n is even
Odd powers of -1 are negative
Answer:
d
Step-by-step explanation: