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2 years ago

Write the equation for a line that passes through the point (-3, 5) and is parallel to

Mathematics

2 answers:

alexdok [17]2 years ago

6 0

Answer:

y=3x+14

Step-by-step explanation:

We can use point-slope formula to find the equation.

y-5=3(x+3)

y-5=3x+9

y=3x+14

gtnhenbr [62]2 years ago

5 0

Answer:

y=3x+14

Step-by-step explanation:

We can use point-slope formula to find the equation.

$y-5=3(x+3)$

$y-5=3x+9$

$y=3x+14$

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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

2 years ago

Simplify 9x + 18(2x - 6) + 13

Aliun [14]

Answer:

45x-95

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Trianas age is 5 years less than 3 times her brothers age. Trianas age is 11 minus her brothers age. How old is Triana?

erastova [34]

Answer: 7

HOPE THIS HELPS

8 0

3 years ago

For brainlist !!!!!!

ad-work [718]

Answer: =20 feet

= 35 feet

Explanation :

let width = a

length = a+15

Now,

2(2w+15)=110

2w=55-15

w=40/2

w=20

3 0

2 years ago

Can somebody help me?

babymother [125]

Answer:

15% markdown

Step-by-step explanation:

In order to find the markdown, take the lowered price and place it in a fraction as the numerator, and the initial price as the denominator. This looks like:

$\frac{828.75}{975}$

with this fraction, we're going to multiply it by 100, with an equation looking like this,

$\frac{828.75}{975}$ × $\frac{100}{1}$

once we multiply(typically using a calculator, though manually is possible of course) we get 85.

In order to find the markdown price however, we need to subtract 85 from 100, getting 15. This is the markdown price, because it's the percentage of the initial whole that the price went down by. Can check by finding 15% of 975, which is 828.75

3 0

2 years ago