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iogann1982 [59]
3 years ago
10

You want to buy a CD player that costs $100. You get paid $6 per hour

Mathematics
1 answer:
photoshop1234 [79]3 years ago
6 0

Answer:

6x=100+80

6x=180

x=180÷6

x=30

so we have to work for 30 hours to can buy the CD player and still have $ 80.

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For each curve, plug in the given point (x,y) and check if the equality holds. For example:

(I) (2, 3) does lie on x^2+xy-y^2=1 since 2^2 + 2*3 - 3^2 = 4 + 6 - 9 = 1.

For part (a), compute the derivative \frac{\mathrm dy}{\mathrm dx}, and evaluate it for the given point (x,y). This is the slope of the tangent line at the point. For example:

(I) The derivative is

x^2+xy-y^2=1\overset{\frac{\mathrm d}{\mathrm dx}}{\implies}2x+x\dfrac{\mathrm dy}{\mathrm dx}+y-2y\dfrac{\mathrm dy}{\mathrm dx}=0\implies\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{2x+y}{2y-x}

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For part (b), recall that normal lines are perpendicular to tangent lines, so their slopes are negative reciprocals of the slopes of the tangents, -\frac1{\frac{\mathrm dy}{\mathrm dx}}. For example:

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3 0
3 years ago
A $240.00 item is marked down by 25%.
andrey2020 [161]
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8 0
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