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2 years ago

What is the inverse relation of the function whose equation is y= 3x-2

Mathematics

1 answer:

serg [7]2 years ago

6 0

Answer:

1/3x +2/3 = y

Step-by-step explanation:

y= 3x-2

To find the inverse, exchange x and y

x = 3y-2

And solve for y

x+2 = 3y-2+2

x+2 = 3y

Divide by 3

1/3(x+2) = 1/3(3y)

1/3x +2/3 = y

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2 years ago

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Noah is running a portion of a marathon at a constant speed of 6 mph. Complete the table to predict how long it would take him t

ycow [4]

Answer:

$\begin{array}{cc}\text{Time}&\text{Distance}\\ \\1&6\\ \\\dfrac{1}{2}&3\\ \\1\dfrac{1}{3}&8\\ \\1\dfrac{1}{2}&9\\ \\9&54\\ \\4\dfrac{1}{2}&27\end{array}$

Step-by-step explanation:

Noah's running speed = 6 mph.

Use formula $D=v\cdot t,$ where

D is the distance,

v is the speed,

t is the time.

If $t=1$ hour, then $D=6\cdot 1=6$ miles.

If $t=\dfrac{1}{2}$ hour, then $D=6\cdot \dfrac{1}{2}=3$ miles.

If $t=1\dfrac{1}{3}$ hours, then $D=6\cdot 1\dfrac{1}{3}=6\cdot \dfrac{4}{3}=8$ miles.

If $t=1\dfrac{1}{2}$ hours, then $D=6\cdot 1\dfrac{1}{2}=6\cdot \dfrac{3}{2}=9$ miles.

If $t=9$ hours, then $D=6\cdot 9=54$ miles.

If $t=4\dfrac{1}{2}$ hours, then $D=6\cdot 4\dfrac{1}{2}=6\cdot \dfrac{9}{2}=27$ miles.

So, the table is

$\begin{array}{cc}\text{Time}&\text{Distance}\\ \\1&6\\ \\\dfrac{1}{2}&3\\ \\1\dfrac{1}{3}&8\\ \\1\dfrac{1}{2}&9\\ \\9&54\\ \\4\dfrac{1}{2}&27\end{array}$

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2 years ago

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