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blondinia [14]
3 years ago
7

(2x+1)^2-2(2x^2-1) Simplify

Mathematics
1 answer:
Iteru [2.4K]3 years ago
8 0

The answer is 4x+3 because thats how the mafia works

Let's simplify step-by-step.

(2x+1)2−2(2x2−1)

Distribute:

=4x2+4x+1+(−2)(2x2)+(−2)(−1)

=4x2+4x+1+−4x2+2

Combine Like Terms:

=4x2+4x+1+−4x2+2

=(4x2+−4x2)+(4x)+(1+2)

=4x+3

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2 years ago
Find the measurements (the length L and the width W) of an inscribed rectangle under the line with the 1st quadrant of the x &am
Leni [432]

The question is incomplete. Here is the complete question.

Find the measurements (the lenght L and the width W) of an inscribed rectangle under the line y = -\frac{3}{4}x + 3 with the 1st quadrant of the x & y coordinate system such that the area is maximum. Also, find that maximum area. To get full credit, you must draw the picture of the problem and label the length and the width in terms of x and y.

Answer: L = 1; W = 9/4; A = 2.25;

Step-by-step explanation: The rectangle is under a straight line. Area of a rectangle is given by A = L*W. To determine the maximum area:

A = x.y

A = x(-\frac{3}{4}.x + 3)

A = -\frac{3}{4}.x^{2}  + 3x

To maximize, we have to differentiate the equation:

\frac{dA}{dx} = \frac{d}{dx}(-\frac{3}{4}.x^{2}  + 3x)

\frac{dA}{dx} = -3x + 3

The critical point is:

\frac{dA}{dx} = 0

-3x + 3 = 0

x = 1

Substituing:

y = -\frac{3}{4}x + 3

y = -\frac{3}{4}.1 + 3

y = 9/4

So, the measurements are x = L = 1 and y = W = 9/4

The maximum area is:

A = 1 . 9/4

A = 9/4

A = 2.25

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3 years ago
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Answer:

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Step-by-step explanation:

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8 0
3 years ago
Michael sold 23 of his CDs and purchased 16 more. If Michael has 25 CDs now, how many CDs did he have to begin with?
olga_2 [115]
The correct question is
<span>Michael sold 2/3 of his CDs and purchased 16 more. If Michael has 25 CDs now, how many CDs did he have to begin with?

Let
x--------------> numbers of CDs Michael have to begin

if Michael sold (2/3)x-----------> </span><span>are pending to sell (1/3)x

we know that
(1/3)x+16=25--------> </span>(1/3)x=25-16-------> (1/3)x=9---------> x=27

the answer is 27 CDs

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3 years ago
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