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ivolga24 [154]
1 year ago
7

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

#SPJ1

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You should use curly braces instead of parenthesis to indicate set notation. The answer is {101, 404} as these two values are in both set A and set B at the same time. The upside down U symbol means "intersection" which is where the two sets overlap. In terms of a Venn Diagram, you'll have two overlapping circles. In the overlapping region is where 101 and 404 are written. In the region of circle A that is outside of B, you'll have 202, 303, and 505. There is nothing to write in the region of B that is outside of A (since all of B is inside A)

Once again, the answer is {101, 404}
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3 years ago
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What is the inverse of the function f(x)=4x+8
Leno4ka [110]

Answer:

f  ( x )  − 1  = ( 1/ 4  x )  − 2.

Step-by-step explanation:        

For inverse function, the x and y interchanges and then make y the subject again of the equation. See the working out below:

f  ( x )  =  4 x  +  8

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y    =  4 x  +  8

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Now make  y  the subject of the equation:

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 y  =  ( 1/ 4  x )  − 2

So the inverse function is:

f (x)  − 1  =  ( 1/ 4  x )  − 2

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Is my answer correct? Please see attachment and notify me.
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Last time I checked that was about right, but it's been a few years since then.

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