Choose the function whose graph is given below.
1 answer:
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Answer:
After 21.6 minutes after 5:00 pm boats are closest to each other.
Step-by-step explanation:
Speed of the first boat = 20
Let after time t the distance between the boats is minimum.
Distance traveled by the first boat in time t is = 20 t ------- (1)
Speed of the second boat = 15
Distance traveled by the second boat in time t is = 15 t ------- (2)
From the diagram
Distance AB = 15 - 15 t --------- (3)
Distance between the boats is at time t is AC. And it is calculated by
Differentiate above equation with respect to t we get,
2 (15 - 15 t) (-15) + 2 (20 t) (20)
- 450 + 1250 t
for the distance to be minimum 0
⇒ - 450 + 1250 t = 0
⇒ t =
⇒ t = 0.36 hours
⇒ t = 21.6 minutes
Therefore the distance between the boats after 21.6 minutes after 5:00 pm is minimum.
Answer:
12
Step-by-step explanation:
First Figure: 1/2*2*2 = 2
Second Figure: 2*2 = 4
Third Figure: 1/2*6*2 = 6
2+4+6 = 12
So the area is 12
Answer:
(x, y) = (12, 6)
Step-by-step explanation:
The problem is solved much more easily by considering groups of 2 small and 1 large boxes. Such a group will have a volume of 2·10+20 = 40 ft³, so 240/40 = 6 such groups are needed.
The number of small boxes shipped is 6·2 = 12; the number of large boxes shipped is 6.
_____
To solve this graphically, we must write two equations in x and y:
x = 2y . . . . . the number of small boxes is twice the number of large boxes
10x +20y = 240 . . . . the total volume is 240 ft³
The attached graph shows the solution of these equations.
(x, y) = (12, 6)
