The graph of f(x) = x? has been shifted into the form f(x) = (x - h)^2 +k.

Mathematics

1 answer:

Zanzabum3 years ago

6 0

Answer:

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marishachu [46]

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Classify the limaçon represented by the equation r=(1/2)-(1/2)sin(theta)

babunello [35]

We know that

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in this problem
r=a(+-)b*sin (theta)
so
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a=1/2
b=1/2
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see the attached figure

the answer is the option
<span>A. Cardioid </span>

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You have to pay 15p to park for every 8 minutes. How much would I pay to park for 90 minutes?

Ahat [919]

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Step-by-step explanation:

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The point P(1,1/2) lies on the curve y=x/(1+x). (a) If Q is the point (x,x/(1+x)), find the slope of the secant line PQ correct

lukranit [14]

Answer:

See explanation

Step-by-step explanation:

You are given the equation of the curve

$y=\dfrac{x}{1+x}$

Point $P\left(1,\dfrac{1}{2}\right)$ lies on the curve.

Point $Q\left(x,\dfrac{x}{1+x}\right)$ is an arbitrary point on the curve.

The slope of the secant line PQ is

$\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{\frac{x}{1+x}-\frac{1}{2}}{x-1}=\dfrac{\frac{2x-(1+x)}{2(x+1)}}{x-1}=\dfrac{\frac{2x-1-x}{2(x+1)}}{x-1}=\\ \\=\dfrac{\frac{x-1}{2(x+1)}}{x-1}=\dfrac{x-1}{2(x+1)}\cdot \dfrac{1}{x-1}=\dfrac{1}{2(x+1)}\ [\text{When}\ x\neq 1]$