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3 years ago

This is just algebra need some help 10 pts each, will give brainliest

Mathematics

1 answer:

Bogdan [553]3 years ago

6 0

Answer:

$\huge \boxed{ \boxed{z = 3}}$

Step-by-step explanation:

<h3>to understand this</h3><h3>you need to know about:</h3>

equation
PEMDAS

<h3>let's solve:</h3>

$\sf simplify \: substraction : \\ \frac{3}{ \frac{z - 2}{z} } = 3z$
$\sf simplify \: complex \: fractio n : \\ \frac{3z}{z - 2} = 3z$
$\sf cross \: multiplication : \\ 3z = 3z(z - 2)$
$\sf divide \: both \: sides \: by \: 3z : \\ \frac{3z}{3z} = \frac{3z(z - 2)}{3z} \\ 1 = z - 2$
$\sf add \: 2 \: to \: bot h \: sides : \\ z - 2 + 2 = 1 + 2 \\ \therefore \: z = 3$

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If | 8x -2 | < 4, Which of the following is true of x? Explain as well.

wariber [46]

The true expression of the variable x in the inequality expression given as |8x - 2| < 4 is -0.25 < x < 0.75

<h3>What are inequality expressions?</h3>

Inequality expressions are mathematical statements that are represented by variables, coefficients and operators where the opposite sides are not equal

<h3>How to determine the true expression of the variable x?</h3>

The inequality expression is given as

|8x - 2| < 4

Divide through the above equations by 2

So, we have the following inequality expression

|4x - 1| < 2

Remove the absolute value sign from the inequality expression

So, we have

-2 < 4x - 1 < 2

Add 1 to all sides of the above inequality expression

So, we have

-1 < 4x < 3

Divide through the above inequality expression by 4

So, we have

-0.25 < x < 0.75

Hence, the true expression of the variable x in the inequality expression given as |8x - 2| < 4 is -0.25 < x < 0.75