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4 years ago

Complete the solution of the equation. Find the value of y when x equals -14. -2x + 5y = 8

Mathematics

1 answer:

shepuryov [24]4 years ago

4 0

Answer:

y = -4

Step-by-step explanation:

-2x + 5y = 8

Let x=-14

-2(-14) +5y = 8

28 +5y = 8

Subtract 28 from each side

28-28 +5y = 8-28

5y = -20

Divide by 5

5y/5 = -20/5

y = -4

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Answer:

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3 years ago

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Oil leaks out of a tanker at a rate of r=f(t) liters per minute, where t is in minutes. If f(t) = A e^{-k t}, write a definite i

8_murik_8 [283]

Answer:

$V_{total} = \displaystyle\int_0^{60} A e^{-k t}~dt$

Step-by-step explanation:

We are given the following in the question:

Oil leaks out of a tanker at a rate of r = f(t) liters per minute, where t is in minutes.

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Let V be the volume, then we are given that rate of leakage is:

$\displaystyle\frac{dV}{dt} = f(t) = A e^{-k t}$

Thus, we can write:

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We have to find the a definite integral expressing the total quantity of oil which leaks out of the tanker in the first hour.

Thus, total amount of oil leaked will be the definite integral from 0 minutes to 60 minutes.

$dV =A e^{-k t}~dt\\V_{total} = \displaystyle\int_a^b f(t)~dt\\\\a = 0\text{ minutes}\\b = 60\text{ minutes}\\\\V_{total} = \displaystyle\int_0^{60} A e^{-k t}~dt$

The units of integral will be liters.

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3 years ago

The difference of 10 and 3 times x .

Dennis_Churaev [7]

Answer:

10-3x that would be 7x

Step-by-step explanation:

10-3=7

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3 years ago

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Ganezh [65]

Greater than is the answer to that question

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nika2105 [10]

M=[(y2-y1)/(x2-x1)]

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Which means that the slope is 0!

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