Answer:
First figure is a hexagon
second figure is a dodecagon
third figure is a decagon
Step-by-step explanation:
We can classify each figure by how many sides it has.
the first one had 6 sides. a six sided polygon is known as a hexagon
the second one has 12 sides. a 12 sided polygon is known as a dodecagon
the third one has 10 sides. a 10 sided polygon is known as a decagon
T = 5, so after 5 years
p(t) = t^3 - 14t^2 + 20t + 120
Take derivative to find minimum:
p’(t) = 3t^2 - 28t + 10
Factor to solve for t:
p’(t) = (3t - 2)(t - 5)
0 = (3t - 2)(t - 5)
0 = 3t - 2
2 = 3t
2/3 = t
Plug 2/3 into original equation, this is a maximum. We want the minimum:
0 = t - 5
5 = t
Plug back into original:
5^3 - 14(5)^2 + 20(5) + 120
125 - 14(25) + 100 + 120
125 - 350 + 220
- 225 + 220
p(5) = -5
Before the 1 on the x-axis
In order to subtract fractions, you need the denominators (bottom number) to be the same.
.
