3 years ago

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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3 years ago

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2 years ago

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2 because 8 divided by 4 is 2.

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In a class of 32 boys, 16 passed the

vodka [1.7K]

Answer:

3/8

Step-by-step explanation:

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:

10x -5 +5h

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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