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3 years ago

-5/2a+5=25 what does a equal

Mathematics

1 answer:

lorasvet [3.4K]3 years ago

4 0

Answer:

-8

Step-by-step explanation:

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What’s the value of 27.43? Write answer in a fraction

Nezavi [6.7K]

Answer:

As an improper fraction: 27 $\frac{43}{100}$

As a mixed fraction: $\frac{2743}{100}$

Step-by-step explanation:

Any number could be expressed as a fraction 27 is $\frac{27}{1}$ and since 0.43 is forty-three hundredths we can express it as $\frac{43}{100}$ .

To find the answer as a mixed fraction we have to put the whole number in the beginning and the fraction in the end. 27 $\frac{43}{100}$

As an improper fraction we have to add 27 / 1 + 43/100 = $\frac{2743}{100}$

4 0

3 years ago

Read 2 more answers

A machine packs 2/5 of a box every 1/2 minute. What is the number of boxes per minute packed? Why?

Alla [95]

If it is packed 2/5 in 1/2 minutes

1 minute =2/5*2=4/5 or 0.8 boxes/min

4 0

3 years ago

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

Joe has saved $30. He earns $7.50 per hour at his job. He plans to buy a plane ticket to Florida for $300. Enter the minimum num

ruslelena [56]

Answer:

30 hours

Step-by-step explanation:

300 - 30

270/7.5

8 0

3 years ago

Given f(x) = -3x + 21, find x when f(x) = 6.

Ainat [17]

Answer:

x = 5

Step-by-step explanation:

Given

f(x) = - 3x + 21 and f(x) = 6, then equating gives

- 3x + 21 = 6 ( subtract 21 from both sides )

- 3x = - 15 ( divide both sides by - 3 )

x = 5

3 0

3 years ago