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2 years ago

Which of the following are irrational numbers? Select all that apply. [Look at the photo to see the answer choices.]

Mathematics

1 answer:

AlexFokin [52]2 years ago

4 0

The answers are b., d., and e.

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PLEASE HELP ASAP <br>are f(x)=4/x-2-1 and g(x)=3/x+2-2 inverses of each other?

GREYUIT [131]

Answer:

To find the inverse of:

$f (x)=\dfrac{4}{x-2}-1$

Set the function to y:

$\implies y=\dfrac{4}{x-2}-1$

Rearrange to make x the subject:

$\implies y+1=\dfrac{4}{x-2}$

$\implies (y+1)(x-2)=4$

$\implies xy-2y+x-2=4$

$\implies xy+x=2y+6$

$\implies x(y+1)=2y+6$

$\implies x=\dfrac{2y+6}{y+1}$

Swap x and y:

$\implies y=\dfrac{2x+6}{x+1}$

Change y to the inverse of the function sign:

$\implies f$ $\:^{-1}(x)=\dfrac{2x+6}{x+1}$

Rewrite g(x) as a fraction:

$g(x)=\dfrac{3}{x+2}-2$

$\implies g(x)=\dfrac{3}{x+2}-\dfrac{2(x+2)}{x+2}$

$\implies g(x)=\dfrac{3-2(x+2)}{x+2}$

$\implies g(x)=\dfrac{3-2x-4}{x+2}$

$\implies g(x)=-\dfrac{2x+1}{x+2}$

Therefore, as the inverse of f(x) ≠ g(x), the functions are NOT inverses of each other

4 0

2 years ago

Given the function f(x) = -5x + 11 + 3, for what values of x is f(x) = -12?<br> Bleaseeeeee

Nitella [24]

Answer:

x = 5.2

Step-by-step explanation:

$f(x) = -5x + 11 + 3$

Let's first simplify our first function:

$f(x) = -5x + 11 + 3\\f(x) = -5x + 14$

Now, we just need to set this function equal to our other given function.

$f(x) = -5x+14\\f(x) = -12\\-5x + 14 = -12$

Now, we can add 12 to both sides:

$-5x + 14 + 12 = -12 + 12\\-5x + 26 = 0$

Now, add 5x to both sides:

$-5x+26 = 0\\26 = 5x\\$

Finally, we'll divide both sides by 5:

$26/5 = 5x / 5\\5.2 = x\\x = 5.2$

Answer: x = 5.2

6 0

3 years ago

Read 2 more answers

last year a school raised $19,950 by selling $15 tickets to a carnival fundraiser. this year the school will raise $20 per ticke

AURORKA [14]

Answer:

$26,600

Step-by-step explanation:

$19,950 / $15 = 1330 tickets

1330 x $20 = 26,600

7 0

2 years ago

Equation to find three consecutive odd integers whose sum is 3

KiRa [710]

The equation computed shows that the numbers will be 9, 11 and 13.

<h3>How to illustrate the information?</h3>

Let the numbers be:

First number = x

Second number = x + 2,

Third number = x + 4.

Total of the numbers = 33

The equation will be:

= first + second + third number

x + x + 2 + x + 4 = 33

3x + 6 = 33

Collect like terms

3x = 33 - 6

3x = 27.

Divide both side by 3

3x/3 = 27/3

x = 9

First number = x = 9

Second number = x + 2 = 9 + 2 = 11

Third number = x + 4. = 9 + 4 = 13

The numbers will be 9, 11, and 13.

Learn more about equations on:

brainly.com/question/2972832

#SPJ1

Illustrate the equation to find three consecutive odd integers whose sum is 33.

8 0

2 years ago

Rewrite 2/5 + 5/12 with a common denominator.

RoseWind [281]

Answer:60 is the common denominator

Step-by-step explanation:

4 0

2 years ago

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