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kipiarov [429]
3 years ago
10

If the domain of the square root function f(x) is x

Mathematics
1 answer:
soldier1979 [14.2K]3 years ago
4 0
<span>This question, in my opinion, is not well stated. If f(x) = √x, as the question statement seems to say, then the domain is not x<7. Rather, the domain is x≥0. If f(x) is not the square root function, but say f(x) = √(7-x) then the domain is x≤7, and for this function then the appropriate answer is d), since the x-term inside the radical has a negative coefficient.</span>
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gogolik [260]

Answer:

divide both sides by 4

Step-by-step explanation:

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The general solution of 2 y ln(x)y' = (y^2 + 4)/x is
Sav [38]

Replace y' with \dfrac{\mathrm dy}{\mathrm dx} to see that this ODE is separable:

2y\ln x\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{y^2+4}x\implies\dfrac{2y}{y^2+4}\,\mathrm dy=\dfrac{\mathrm dx}{x\ln x}

Integrate both sides; on the left, set u=y^2+4 so that \mathrm du=2y\,\mathrm dy; on the right, set v=\ln x so that \mathrm dv=\dfrac{\mathrm dx}x. Then

\displaystyle\int\frac{2y}{y^2+4}\,\mathrm dy=\int\dfrac{\mathrm dx}{x\ln x}\iff\int\frac{\mathrm du}u=\int\dfrac{\mathrm dv}v

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4 0
3 years ago
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Serhud [2]

Answer:

Proportion states that the two fractions or ratios are equal

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By cross multiply we get;

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Using distributive property; a\cdot (b+c) = a\cdot b+ a\cdot c

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Subtract 0.4 from both sides we get;

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Subtract 1.5x from both sides we get;

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Divide both sides by 0.1 we get;

x = \frac{5.6}{0.1}

Simplify:

x = 56

Therefore, the value of x that satisfy the equation \frac{1.5}{4x+1} = \frac{0.4}{x+4} is, 56

5 0
3 years ago
A clothing store paid an import tax of $32 on a shipment of $800 worth of silk scarves. The import tax rate is always the same.
bekas [8.4K]
This will be your formula:
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this is what you'll get:

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