Mathematics, 29.07.2020 20:01 mostman077

3x2 +4=0 whats the answer?

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Answer from: angelreji4702

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Hi my lil bunny!

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Lets do this step by step.

Simplify $\frac{3x - 2}{x} -4$ .

To write -4 as a fraction with a common denominator, multiply by $\frac{x}{x}$

$\frac{3x - 2}{x} - 4 . \frac{x}{x} 0$

Combine -4 and $\frac{x}{x}$ .

$\frac{3x - 2}{x} + \frac{-4x}{x} 0$

Combine the numerators over the common denominator.

$\frac{3x - 2 -4x}{x} 0$

Subtract 4x from 3x.

$\frac{-x -2}{x} 0$

Factor -1 out of -x.

$\frac{-(-x) -2}{x} 0$

Rewirte -2 as -1 (2).

$\frac{-(x -1 (2)}{x} 0$

Factor -1 out of - (x) - 1 (2).

$\frac{-(x + 2)}{x} 0$

Simplify the Expression.

_______________

Rewrite - ( x + 2 ) as -1 ( x + 2 ) .

$\frac{-1 ( x+ 2)}{x} 0$

Move the negative in front of the fraction.

$- \frac{x + 2}{x} 0$

Then your going to find all the values where the expression switches from negative to positive by setting each factor equal to 0 and solving.

$x = 0\\x + 2 = 0$

Subtract 2 from both sides of the equation.

x = -2

Solve for each factor to find the values where the absolute value expression goes from negative to positive.

$x = 0 \\x = -2$

Consolidate the solutions.

x = 0, -2

________________

Find the domain of $\frac{3x - 2}{x} -4$

_________________

Set the denominator in $\frac{3x - 2}{x}$ equal to 0 to find where the expression is undefined.

x = 0

The domain is all values of x that make the expression defined.

( - ∞, 0 ) ∪ ( 0 , ∞)

Use each root to create test intervals.

$x < -2 \\-2 < x < 0 \\x 0$

|Choose a test value from each interval and plug this value into the original inequality to determine which intervals satisfy the inequality.|

Test a value on the interval -2 < x < 0 to see if it makes the inequality true.

Ans : True

Test a value on the interval x > 0 to see if it makes the inequality true.

Ans : False

Test a value on the interval x < -2 to see if it makes the inequality true.

Ans : False

Compare the intervals to determine which ones satisfy the original inequality.

$x < -2 = False\\-2 < x < 0 = True\\x 0 = False$

The solution consists of all of the true intervals.

-2 < x < 0

The result can be shown in multiple forms.

Inequality Form: -2 < x< 0

Interval Notation: ( -2 , 0 )

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Hope this helped you.

Could you maybe give brainliest..?

❀*May*❀

Answer from: Quest

hello, never fear papaguy is here!

c. histogram

step-by-step explanation:

Answer from: Quest

245

step-by-step explanation:

you add up all the numbers together to get this answer

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