Answer:
(3,4) (4,3) (9,7)
Step-by-step explanation:
this represents a function because none of the x's in the x values repeat
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
Answer:
ℎℎ ℎ
Step-by-step explanation:
ℎℎℎℎ ℎ <em /><em /><em /><em /><em /><em /><em /><em><u /></em><em><u /></em><em><u /></em><em><u /></em><em><u /></em><em><u> </u></em><em><u /></em><em><u /></em><em><u /></em><em><u /></em><em><u /></em><em><u> </u></em><em><u>ℎ</u></em><em><u /></em><em><u /></em><em><u /></em><em><u /></em>
Answer:
Option C. 10.5(12 + x) square feet
Option E. (126 + 10.5x) square feet
Step-by-step explanation:
step 1
Find the area of the original living room
we know that
The area of the original living room is equal to
we have
substitute
step 2
Find the new area of the living room
The length of the room is being expanded by x feet
so
we have
The new area is
The expanded form of the expression is
Apply distributive property