Help pleasee!! this is due tomrw I need answers asap!!

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

Part 3) $f(x)=x(x+4)$ ----> All real numbers

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

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

so

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

therefore

The domain is

$x\neq 0$

Part 2) we have

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

we know that

In a quotient the denominator cannot be equal to zero

so

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

so

Equate the denominator to zero

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

Remember that

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

( $x+4)^2=0$

The solution is x=-4

so

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

therefore

The domain is

$x\neq -4$

6 0

3 years ago

What is reasonable first step that can be used to solve the equation 2(x+6)=3(x-4)+5?

blagie [28]

Answer:

Distribute 2 to (x + 6) and 3 to (x-4)

Step-by-step explanation:

8 0

3 years ago

Can someone please help me asap

Hatshy [7]

Answer:

I cant see it....

Step-by-step explanation:

I cant see it....

3 0

3 years ago

The amount of time it takes Evelyn to go grocery shopping is continuous and uniformly distributed between 20 minutes and 44 minu

vivado [14]

Answer:

85.71% probability that it takes Evelyn less than 38 minutes given that it takes less than 41 minutes for her to go grocery shopping

Step-by-step explanation:

An uniform probability is a case of probability in which each outcome is equally as likely.

For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.

The probability that we find a value X lower than x is given by the following formula.

$P(X < x) = \frac{x - a}{b-a}$

Uniformly distributed between 20 minutes and 44 minutes.

This means that $a = 20, b = 44$ .

What is the probability that it takes Evelyn less than 38 minutes given that it takes less than 41 minutes for her to go grocery shopping

We know that it takes less than 41 minutes, so we can update b to 41.

So

$P(X < 38) = \frac{38 - 20}{41 - 20} = 0.8571$

85.71% probability that it takes Evelyn less than 38 minutes given that it takes less than 41 minutes for her to go grocery shopping

4 0

3 years ago

Select the correct expanded form for each expression. 155 = . (0.17)3 = .

Nana76 [90]

FIRST ONE b SECOND d

Step-by-step explanation:

3 0

3 years ago

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