Find the inverse of f(x)=2/5x-2

Mathematics

1 answer:

Lunna [17]2 years ago

7 0

Answer:

2/5x+2/5

Step-by-step explanation:

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Graph 3(8-4x)<6(x-5)

Zinaida [17]

First simplify this inequality:

$3(8-4x)$

Now you can graph this inequality. Draw the vertical dashed line x=3 and shade the region to the right from this line. This is exactly the region that represents the solution of inequality (see attached diagram for details).

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2 years ago

What is the solution to StartFraction 5 over 6 EndFraction x minus one-third greater-than 1 and one-third?

Vikentia [17]

Answer:

The correct answer is x > 2.

Step-by-step explanation:

$\dfrac{5}{6} x - \dfrac{1}{3} > 1\dfrac{1}{3}$

An inequality compares two quantities unlike an equality. An inequality is written with either a greater than ( > ) or lower than ( < ) or greater than equal to ( $\geq$ ) or less than equal to ( $\leq$ ) signs. We solve the above given inequality to find the solutions of the unknown x.

$\dfrac{5}{6} x - \dfrac{1}{3} > 1\dfrac{1}{3} \\\dfrac{5}{6} x - \dfrac{1}{3} > \dfrac{4}{3} \\\dfrac{5}{6} x > \dfrac{1}{3} + \dfrac{4}{3} \\\dfrac{5}{6} x > \dfrac{5}{3}\\x > 2$

Firstly we change the right hand side quantity to fraction.

We then transfer the - $\frac{1}{3}$ to the right hand side and add them. The inequality sign does not change as we are simply adding or subtracting terms from both the ends.

Finally we divide both sides with $\frac{6}{5}$ to get the required solution. The inequality sign does not change as we are multiplying both the ends with a positive quantity.