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Oksana_A [137]
3 years ago
11

Which is an example of a function?

Mathematics
1 answer:
Andreyy893 years ago
5 0

Step-by-step explanation:

the price of a piece of cloth and the length of the cloth

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What are the focus and directrix of the parabola with the equation y=1/12 x^2
Nataly [62]
<h2>Answer:</h2>

\boxed{y=-3}

<h2>Step-by-step explanation:</h2>

The graph of this parabola is shown below. From this graph we know that:

VERTEX:

(h,k)=(0,0)

DIRECTIX:

Since the vertex lies on the origin and the parabola opens upward, then the standard form of this parabola is:

x^2=4py

So:

y=\frac{1}{12}x^2 \\ \\ \therefore 12y=x^2 \ or \ x^2=12y \\ \\ \\ Then: \\ \\ 4p=12 \therefore p=3

Then the directrix is:

y=k-p \\ \\ \therefore y=0-3 \therefore \boxed{y=-3}

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2 because 8 divided by 4 is 2.

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vodka [1.7K]

Answer:

3/8

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12/32 failled and if you simplify this it means that about 3/8 of the class failled

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For the function f(x)=5x2−5x, evaluate and simplify.
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Answer:

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Step-by-step explanation:

Use the function definition with the given arguments.

  \dfrac{f(x+h)-f(x)}{h}=\dfrac{(5(x+h)^2-5(x+h))-(5x^2-5x)}{h}\\\\=\dfrac{(5(x^2+2hx+h^2)-5(x+h))-(5x^2-5x)}{h}\\\\=\dfrac{5x^2+10hx+5h^2-5x-5h-5x^2+5x}{h}=\dfrac{10hx-5h+5h^2}{h}\\\\=\boxed{10x-5+5h}

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