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1 year ago

What’s the answer to 4x(x+3) < -24

Mathematics

1 answer:

NARA [144]1 year ago

6 0

The answer to the inequality is expressed as x< 1 and x< -4

<h3>What are inequalities?</h3>

Inequalities are mathematical expressions having both sides unequal or rather not equivalent to each other.

Given the inequality;

4x (x+3) < -24

First, expand the bracket

4x² + 12x < - 24

Let's turn to quadratic inequality

4x² + 12x - 24 < 0

Factorize further

4 ( x² + 3x - 4) < 0

4 ( x² + 4x - x - 4) < 0

4 ( x(x + 4) - 1 (x + 4) ) < 0

4(x - 1) ( x + 4) < 0

expand the bracket

4x - 4 < 0

x < 1

And

4x + 16 < 0

x < -4

Thus, the answer to the inequality is expressed as x< 1 and x< -4

Learn more about inequalities here:

brainly.com/question/25275758

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Diano4ka-milaya [45]

ANSWER

56.1 square inches.

EXPLANATION

The area of this triangle can be calculated using the formula,

$Area = \frac{1}{2} ab \sin( C)$

where a=8in.

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and C=99° is the included angle.

We plug in these values to obtain,

$Area = \frac{1}{2} \times 8 \times 14.2 \sin( 99 \degree)$

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We round to the nearest tenth to get,

56.1 sq. inch

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2 years ago

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Reason 4: Alternate Interior Angles Theorem
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Explanations:

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Explanation for Reason 4: Angle ABD is congruent to angle CDB because they are alternate interior angles. They are on the inside of the "train tracks" that are formed by AB and CD. They lay on opposite sides of the transversal BD

Explanation for Reason 5: Any segment is congruent to itself; ie, the same length

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