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Sergeeva-Olga [200]
3 years ago
15

Solve: 6x + 10 = 4x -8. Determine how many solutions? (exactly one, infinitely many, no solution)

Mathematics
1 answer:
Vesnalui [34]3 years ago
7 0
  • Answer:

<em>x = - 9</em>

  • Step-by-step explanation:

<em>6x + 10 = 4x - 8</em>

<em>6x - 4x = - 10 - 8</em>

<em>2x = - 18</em>

<em>x = - 18 : 2</em>

<em>x = - 9</em>

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La temperatura a una distancia r del centro de una lámina está dada por T=40 (r2?2r) . La variación instantánea de la temperatur
PilotLPTM [1.2K]

For this, the first thing to do is to assume that the function of temperature with respect to r is written in one of the following ways:

Way 1:

T = 40 (r ^ 2 + 2r)

Way 2:

T = 40 (r ^ 2-2r)

To find the instant variation we must find the derivative of the temperature with respect to the distance r.

We have then:

For function 1:

\frac {dT} {dr} = 40 \frac {d ((r ^ 2 + 2r))} {dr}\\

\frac {dT} {dr} = 40 (2r + 2)

Rewriting

\frac {dT} {dr} = 80r + 80

For function 2:

\frac {dT} {dr} = 40 \frac {d ((r ^ 2-2r))} {dr}

\frac {dT} {dr} = 40 (2r-2)

Rewriting

\frac {dT} {dr} = 80r-80

Answer:

The instantaneous variation of the temperature with respect to r is given by:

Assuming function 1:

\frac {dT} {dr} = 80r + 80

Assuming Function 2:

\frac {dT} {dr} = 80r-80

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3 years ago
Given the graph for function f(x) given above.Find the f (-2). f(-2) =
PIT_PIT [208]

Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

first, we must calculate the slope (m) using the equation (y2-y1)/(x2-x1)

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now substitute into the equation:

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substitute the given numbers into the equation

y--2=-3/2(x-0)

do distributive prop.

y+2=-3/2x

subtract 2 from both sides

y=-3/2x-2

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