2 years ago

Solve -5/3x + 7/3 = -5

Mathematics

1 answer:

Pavlova-9 [17]2 years ago

3 0

Answer:

x = 24/15 = 8/3 = 2 2/3

Step-by-step explanation:

remember what you do to the left you must do to the right.

I converted the -5 to -15/3 so I could easily add or subtract

-5/3 x = -8/3

multiply both sides by -3/5 to cancel the coefficient of the x

x = -8/3 * -3/5 = 24/15

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Step-by-step explanation:

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2 years ago

Find an antiderivative F(x) with F′(x) = f(x) = 6 + 24x^3 + 18x^5 and F(1)=0.

7nadin3 [17]

Answer:

The antiderivative is $F(X) = 6x + 6x^4 + 3x^6 - 15$ .

Step-by-step explanation:

Antiderivative F(x)

This is the integral of $F^{\prime}(x)$

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Then:

$F(x) = \int (6 + 24x^3 + 18x^5) dx$

$F(x) = 6x + \frac{24x^4}{4} + \frac{18x^6}{6} + K$

$F(x) = 6x + 6x^4 + 3x^6 + K$

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$F(X) = 0$ when $x = 1$ . We use this to find K.

$F(x) = 6x + 6x^4 + 3x^6 + K$

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Thus

The antiderivative is $F(X) = 6x + 6x^4 + 3x^6 - 15$ .

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