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ch4aika [34]
3 years ago
15

Find inverse of y=1/2x+3

Mathematics
1 answer:
yKpoI14uk [10]3 years ago
8 0

Answer:  f⁻¹(x)=2x-6

Step-by-step explanation:

To find the inverse of an equation, you replace y with x and x with y. Then, you solve for y.

y=1/2x+3          [replace y with x and x with y]

x=1/2y+3          [subtract both sides by 3]

x-3=1/2y           [multiply both sides by 2]

y=2(x-3)            [distribute]

y=2x-6

Now, we know the inverse function is f⁻¹(x)=2x-6.

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Please help me out with this!!!!!!!!!!!!
vesna_86 [32]

Answer:

y = - \frac{3}{4} x + 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 3) and (x₂, y₂ ) = (4, 0) ← 2points on the line

m = \frac{0-3}{4-0} = - \frac{3}{4}

Note the line crosses the y- axis at (0, 3 ) ⇒ c = 3

y = - \frac{3}{4} x + 3 ← equation of line

6 0
3 years ago
What is the length of CD to the nearest 10th?
Snezhnost [94]

Answer:

\huge \boxed{\mathrm{10.3 \ units}}

Step-by-step explanation:

To solve for <em>CD</em>, we can create a right triangle.

Where <em>CD</em> becomes the hypotenuse.

The length of the base of the triangle is 9 units.

The length of the height of the triangle is 5 units.

Apply Pythagorean theorem to solve for the hypotenuse.

\sf hypotenuse = \sqrt{(base )^2 +(height )^2 }

c=\sqrt{9^2 +5^2 }

c=\sqrt{106}

c \approx 10.29

3 0
3 years ago
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Answer:

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Step-by-step explanation:

They are similar because, the top triangle has one more square to the height as well as the width. If you take one square away from the height and width the top triangle is the same size as the bottom triangle.

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