All categories

3 years ago

What is the inverse of y = 3x + 9? A. y= 1/3x - 3 B. y = 1/3x + 9 C. y = -1/3x - 3 D. y = 9x + 3

Mathematics

1 answer:

Aneli [31]3 years ago

6 0

Answer:

1/3x - 3

Step-by-step explanation:

To find the inverse, we exchange x and y and then solve for y

y =3x+9

Exchange x and y

x = 3y+9

Then solve for y

Subtract 9 from each side

x-9 =3y+9-9

x-9 = 3y

Divide by 3

1/3(x-9) = 3y/3

1/3(x-9) = y

Distribute

1/3x-3 = y

The inverse is 1/3 x -3

You might be interested in

Identify the terms, coefficients, and constants in the expression. 7h + 3

dexar [7]

Answer:

7h+10

Step-by-step explanation:

7 0

2 years ago

3. Two cars are parked, 150m apart, and on opposite sides of a building. A camera on the top of the building rotates and can vie

allsm [11]

Answer:

<em>The building is 61.5 m tall</em>

Step-by-step explanation:

The image below is a diagram where all the given distances and angles are shown. We have additionally added some variables:

h = height of the building

a, b = internal angles of each triangle

x = base of each triangle

The angles a and b can be easily found by subtracting the given angles from 90° since they are complementary angles, thus:

a = 90° - 37° = 53°

b = 90° - 42° = 48°

Now we apply the tangent ratio on both triangles separately:

$\displaystyle \tan a=\frac{\text{opposite leg}}{\text{adjacent leg}}$

$\displaystyle \tan 53^\circ=\frac{150-x}{h}$

$\displaystyle \tan 48^\circ=\frac{x}{h}$

From the last equation:

$x=h.\tan 48^\circ$

Substituting into the first equation:

$\displaystyle \tan 53^\circ=\frac{150-h.\tan 48^\circ}{h}$

Operating on the right side:

$\displaystyle \tan 53^\circ=\frac{150}{h}-\tan 48^\circ$

Rearranging:

$\displaystyle \tan 53^\circ+\tan 48^\circ=\frac{150}{h}$

Solving for h:

$\displaystyle h=\frac{150}{\tan 53^\circ+\tan 48^\circ}$

Calculating:

h = 61.5 m

The building is 61.5 m tall

5 0

2 years ago

Plsssss helppppp i need to do this work in 10 min plss helpp

Over [174]

Answer:

3/2 or 1.5

Step-by-step explanation:

Change in y/ Change in x

3/2

1.5

You're welcome and don't forget to click <u>THANKS</u>

7 0

2 years ago

Read 2 more answers

What is 8x - 6 - 7x + 10

photoshop1234 [79]

Simplifying

8x + -6 = 7x + 10

Reorder the terms:

-6 + 8x = 7x + 10

Reorder the terms:

-6 + 8x = 10 + 7x

Solving

-6 + 8x = 10 + 7x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-7x' to each side of the equation.

-6 + 8x + -7x = 10 + 7x + -7x

Combine like terms: 8x + -7x = 1x

-6 + 1x = 10 + 7x + -7x

Combine like terms: 7x + -7x = 0

-6 + 1x = 10 + 0

-6 + 1x = 10

Add '6' to each side of the equation.

-6 + 6 + 1x = 10 + 6

Combine like terms: -6 + 6 = 0

0 + 1x = 10 + 6

1x = 10 + 6

Combine like terms: 10 + 6 = 16

1x = 16

Divide each side by '1'.

x = 16

Simplifying

x = 16

HOPE I HELPED!!! :)

8 0

3 years ago

Read 2 more answers

Your favorite video game just went on sale for 33% off.

abruzzese [7]

Answer:

$40.20

Step-by-step explanation:

60 / 100 = 0.6

0.6 x 33 = 29.8

60 - 29.8 = 40.2

Thus he price after the discount would be $40.20

3 0

2 years ago