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3 years ago

Please help and show work!! Even numbers ONLY!! Will give brainliest!!

Mathematics

1 answer:

Aliun [14]3 years ago

5 0

You can do like this
This is my answer 1 to 10
Do it now

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Find the limit if it exists

mash [69]

Answer:

20.

Step-by-step explanation:

When x = 2

f(x= 3(2)^3 + 2^2 - 8

= 24 + 4 - 8

= 20.

3 0

3 years ago

What is the length of the dotted line in the diagram below? Leave your answer in simplest radical form.

Pachacha [2.7K]

Answer:

$\sqrt{93}$

Step-by-step explanation:

8^2+5^2=c^2

64+25=c^2

89=c^2

c= $\sqrt{89}$ <-- this is the length of the rectangle at the bottom

2^2+( $\sqrt{89}$ )^2=c^2

4+89=c^2

c= $\sqrt{93}$ <-- length of dotted line (diagonal)

6 0

3 years ago

Read 2 more answers

For which function is f(x) equal to f^1(x) ( answer choices in picture )

Sonja [21]

Answer:

C. $f(x)=\frac{x+1}{x-1}$

Step-by-step explanation:

Let's find the inverse of each of the given options.

Option A:

$f(x)=\frac{x+6}{x-6}\\y=\frac{x+6}{x-6}$

To find $f^{-1}(x)$ , replace 'x' with 'y' and 'y' with 'x'. This gives,

$x=\frac{y+6}{y-6}$

Rewrite in terms of 'y'. This gives,

$x(y-6)=y+6\\xy-6x=y+6\\xy-y=6x+6\\y=\frac{6x+6}{x-1}$

The given function $y=\frac{6x+6}{x-1}\ne y=\frac{x+6}{x-6}$

So, option A is incorrect.

Option B:

$f(x)=\frac{x+2}{x-2}\\y=\frac{x+2}{x-2}$

To find $f^{-1}(x)$ , replace 'x' with 'y' and 'y' with 'x'. This gives,

$x=\frac{y+2}{y-2}$

Rewrite in terms of 'y'. This gives,

$x(y-2)=y+2\\xy-2x=y+2\\xy-y=2x+2\\y=\frac{2x+2}{x-1}$

The given function $y=\frac{2x+2}{x-1}\ne y=\frac{x+2}{x-2}$

So, option B is incorrect.

Option C:

$f(x)=\frac{x+1}{x-1}\\y=\frac{x+1}{x-1}$

To find $f^{-1}(x)$ , replace 'x' with 'y' and 'y' with 'x'. This gives,

$x=\frac{y+1}{y-1}$

Rewrite in terms of 'y'. This gives,

$x(y-1)=y+1\\xy-x=y+1\\xy-y=x+1\\y=\frac{x+1}{x-1}$

The given function $y=\frac{x+1}{x-1}\ equals\ y=\frac{x+1}{x-1}$

So, option C is correct.

Option D:

$f(x)=\frac{x+5}{x-5}\\y=\frac{x+5}{x-5}$

To find $f^{-1}(x)$ , replace 'x' with 'y' and 'y' with 'x'. This gives,

$x=\frac{y+5}{y-5}$

Rewrite in terms of 'y'. This gives,

$x(y-5)=y+5\\xy-5x=y+5\\xy-y=5x+5\\y=\frac{5x+5}{x-1}$

The given function $y=\frac{5x+5}{x-1}\ne y=\frac{x+6}{x-6}$

So, option D is incorrect.

Therefore, only option C is correct.

7 0

3 years ago

Over the last 6 days, you earned the following amounts raking leaves: $44, $34, $54, $55, $61, and $37. On the average, how much

astra-53 [7]

Answer: $47.50

Step-by-step explanation: Averages are calculated by adding all values up and dividing by # of values. Here the sum is 285, and 285/6=47.5

6 0

3 years ago

You roll a standerd number cube. find p(number greater than 2)

AVprozaik [17]

4/6=0,66=66% i think this is right?

7 0

3 years ago