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Question
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Multiply the constant: 12 x (-5/6)
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Multiply the x (we add the power together when we multiply)
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Answer: -10x⁷y²---------------------------------------------------------------------------------------
Step-by-step explanation:
y = -2x² + 4x + 1
Complete the square.
y = -2 (x² − 2x) + 1
y = -2 (x² − 2x + 1) + 1 − (-2)(1)
y = -2 (x − 1)² + 3
The vertex is (1, 3). The leading coefficient is negative, so the vertex is a maximum.
Graph: desmos.com/calculator/qsih3rd8ev
Answer:
The relation is 
Step-by-step explanation:
Here we have

Integrating we get
-ln(900000 - y(t)) = kt + C
With initial condition y(0) = 0 we get
C = -ln(900000)
Therefore,

Answer:
5 days
Step-by-step explanation:
This problem is an inverse proportion case. Having two variables: number of workers and time (in days); when we increase the number of workers, the time needed decreases; vice versa. Therefore, we can use the multiplication method: (workers * time) will always stay constant.
Let's say the time (in days) needed by the eleven workers is t,
5*20 = (3*10) + (14*t)
100 = 30+14t
70 = 14t
5 = t
It will take the eleven-workers 5 more days to finish the road.