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3 years ago

I don't understand this I need someone to explain the answer

Mathematics

1 answer:

Temka [501]3 years ago

4 0

So,

Proportion basically means, that something is proportional

Example: A rope's length and weight are in proportion.

It's in proportion because the longer the rope, the more the weight

so, let's say

A popcorn machine costs 20 an hour

And in order to rent one, you have to pay $32 dollars

So you pay 32 for the machine, then 20 for every hour you use it

the number of hours used WOULD be proportional to the cost because

the more hours used, the more the cost

your final answer: YES it is proportional

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4 years ago

Choose the domain for which each function is defined

klemol [59]

Answer:

Part 1) $f(x)=\frac{x+4}{x}$ -----> $x\neq 0$

Part 2) $f(x)=\frac{x}{x+4}$ ----> $x\neq -4$

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Step-by-step explanation:

we know that

The domain of a function is the set of all possible values of x

Part 1) we have

$f(x)=\frac{x+4}{x}$

we know that

In a quotient the denominator cannot be equal to zero

For the value of x=0 the function is not defined

therefore

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$x\neq 0$

Part 2) we have

$f(x)=\frac{x}{x+4}$

we know that

In a quotient the denominator cannot be equal to zero

For the value of x=-4 the function is not defined

therefore

The domain is

$x\neq -4$

Part 3) we have

$f(x)=x(x+4)$

Applying the distributive property

$f*(x)=x^2+4x$

This is a vertical parabola open upward

The function is defined by all the values of x

therefore

The domain is all real numbers

Part 4) we have

$f(x)=\frac{4}{x^2+8x+16}$

we know that

In a quotient the denominator cannot be equal to zero

Equate the denominator to zero

$x^2+8x+16=0$

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$x^2+8x+16=(x+4)^2$

( $x+4)^2=0$

The solution is x=-4

For the value of x=-4 the function is not defined

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The domain is

$x\neq -4$

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3 years ago

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Answer:

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Step-by-step explanation:

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4 years ago

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I don't understand this I need someone to explain the answer​

I don't understand this I need someone to explain the answer