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mr_godi [17]
3 years ago
9

Which graph represents this equation? Equation: y = 2/3x^2 - 6x

Mathematics
2 answers:
vovangra [49]3 years ago
7 0

Answer:

I'm afraid that none of them are, as the x-intercepts of the equation are 0 and 9 respectively

however, D. is the closest to it, and it would be the correct graph if there were parentheses around x^{2}-6x

Step-by-step explanation:

tatuchka [14]3 years ago
5 0

Answer:

D

Step-by-step explanation:

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A small metal bar, whose initial temperature was 10° C, is dropped into a large container of boiling water. How long will it tak
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Answer

According to newton law of cooling

\dfrac{d T}{dt} = k (T - T_a)

and

T = Ce^{kt} + T_a

now At Ta = 100

T₀ = 10 °C

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T(0) = Ce^{0} + T_a

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now,

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k = ln{\dfrac{88}{90}}

at time equal to t

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T(t) = -90 (\dfrac{88}{90})^t + 100

70 = -90(\dfrac{88}{90})^t + 100

(\dfrac{88}{90})^t = \dfrac{1}{3}

t\times ln(\dfrac{88}{90}) = ln(\dfrac{1}{3})

t = 48.88 s

hence, after 48.88 s the temperature of the body will be 70°C

b) time taken to reach 98°C

T(t) = -90 (\dfrac{88}{90})^t + 100

98 = -90(\dfrac{88}{90})^t + 100

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t = 390 s

hence, after 390 s the temperature of the body will be 98°C

5 0
2 years ago
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