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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Answer:
The two lines of reflection are
and 
Step-by-step explanation:
I will attach a file with the graph of the rectangle and the lines of reflection.
We know that RSTU is a rectangle with vertices at
,
,
and 
The first step is to draw the vertices on the plane and them the rectangle.
The rectangle is a symmetrical figure. Therefore if we want to carry the rectangle onto itself using a line of reflection this line must goes through the centroid of the rectangle.
Given that we have a rectangle whose width is
and its length is
its centroid will be place at
.
Looking at the graph and using this information we find that the two lines of reflection are
and
.
Answer:

Step-by-step explanation:
The derivative of an addition/subtraction of terms is the addition/subtraction of the derivatives of these terms.
The derivative of a constant is 0.
The derivative of
is
. The derivative of
is
, for example.
The derivative of the ln function:
If we have:

The derivative is

In this problem, we have that:

So
and 
So the derivative to this function is

Answer:
12n + 15= t
Step-by-step explanation:
This might be hella late sorry
Answer:

Common ratio between successive terms


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