All categories

3 years ago

Finding Inverses Find an equation for the inve 3. y = 3x + 2

1 answer:

7 0

First we swap our x and y variable, so we get

x = 3y + 2

Then, we solve for y
We can first subtract 2 on both sides

x - 2 = 3y

Then we can divide by 3 on both sides to get

x/3 - 2/3 = y

So our final equation is

y = x/3 - 2/3

You might be interested in

Suppose the sound wave has the form y=7cos(3x-pi/6) for x in the interval [pi/6 , 7pi/18]. Express x as a function of y, and sta

Vesnalui [34]

Answer:

x = ⅓ acos(y/7) + π/18, [-7, 7/2]

Step-by-step explanation:

y = 7 cos(3x − π/6)

Solving for x:

y/7 = cos(3x − π/6)

acos(y/7) = 3x − π/6

acos(y/7) + π/6 = 3x

x = ⅓ acos(y/7) + π/18

The domain of x is the same as the range of y.

When x = π/6:

y = 7 cos(3π/6 − π/6)

y = 7 cos(π/3)

y = 7/2

When x = 7π/18:

y = 7 cos(21π/18 − π/6)

y = 7 cos(π)

y = -7

So the domain of x as a function of y is [-7, 7/2].

5 0

4 years ago

HELP ASAP! 70 POINTS

givi [52]

Answer: f(x) and g(x) are inverses of each other

Step-by-step explanation:

To find the inverse of a function, swap the x's and y's and then solve for "y"

f(x) = 5x + 2

y = 5x + 2

Swap:

x = 5y + 2

-2 - 2

x - 2 = 5y

÷5 ÷5

$\dfrac{x-2}{5}=y$

****************************************************************

$g(x)=\dfrac{x-2}{5}\\\\y=\dfrac{x-2}{5}\\\\\text{Swap:}\\x=\dfrac{y-2}{5}\\\\\\(5)x=\dfrac{y-2}{5}(5)\\\\\\5x=y-2\\\\5x+2=y$

5 0

4 years ago

Read 2 more answers

20% discount of a grand total of $35.26

monitta

Answer:

$7.05

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Find the commission on a sale of $8,432 at 12 % commission.

UkoKoshka [18]

Answer: I think the answer is 1011.84. Hope this helps. Can you give me brainliest

Step-by-step explanation:

5 0

3 years ago

Tret

Tema [17]

The two equations expressed in this scenario will be

y = 13x + 34

And

y = 30x

I like substitution, so let’s use that

Plug in y = 30x for y in the first equation

30x = 13x + 34

Subtract

17x = 34

x = 2

Plug in 2 for x in any equation

y = 30(2)

y = 60

It would be 2 hours and she would pay $60 dollars

4 0

2 years ago