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Ratling [72]
3 years ago
6

Describe how the graph of y= x2 can be transformed to the graph of the given equation. y = x2 - 12

Mathematics
1 answer:
Anuta_ua [19.1K]3 years ago
4 0
The graph of y=x²-12 is the same with y=x², but moved 12 units to the left on the x axis. You can see that by setting x=0 in both equations. y=x² is a parabola with a minimum on x=0 and y=x²-12 is a parabola with a minimum on x=-12.
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Please help it’s 8 grade I ready diagnostic
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2 years ago
A 6,000​-liter cistern is empty when water begins flowing into it​ (at t = ​0) at a rate​ (in L/min) given by Q`(t) = 9 √t, wher
lorasvet [3.4K]

Answer:

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b) V(t) = (18/3) * t^(1.5)

Step-by-step explanation:

Part a

Integrating the given relation from t = 0 to t= 105 mins

V = \int {9 * \sqrt{t} } \, dt\\V = {\frac{9*2}{3}*t^(1.5) = \frac{18}{3}*t^(1.5)\\\\V = \frac{18}{3}*105^(1.5)\\\\\\V = 6,455L

Part b

V(t) = \frac{18}{3} * t^(1.5) + C\\Since V = 0 @ t = 0 ; hence, C = 0\\\\V(t) = \frac{18}{3} * t^(1.5)

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