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3 years ago

What is the quotient (2x^4-3x^3-3x^2+7x-3) divided by (x^2-2x+1)

Mathematics

2 answers:

Genrish500 [490]3 years ago

4 0

Answer:

The quotient is: 2x^2+x-3

Step-by-step explanation:

we need to divide (2x^4-3x^3-3x^2+7x-3) by (x^2-2x+1)

The division is attached in the figure below.

The quotient is: 2x^2+x-3

The remainder is: 0

Deffense [45]3 years ago

3 0

Answer:

You can find the quotient of the expression in the images below, together with more information and a full analysis

(2x^4-3x^3-3x^2+7x-3)/(x^2-2x+1)

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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

What is the volume, in cubic inches, of a rectangular prism with a height of 19 inches, a width of 11 inches, and a length of 4

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Answer:

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Step-by-step explanation:

4 times 19 times 11

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How do I solve this literal equation? <br> 15 points

kati45 [8]

Answer:

$\pi = \frac{A}{2r^2 + 2rh}$

Step-by-step explanation:

First, we need to isolate $\pi$ by taking it common from both terms on the right:

$A=2\pi r^2 + 2\pi rh\\A=\pi (2r^2 + 2rh)$

Now, since we want $\pi$ in terms of the other variables, we can divide the left hand side (A) by whatever is multiplied with $\pi$ on the right hand side. Then we will have an expression for $\pi$ . Shown below:

$A=\pi (2r^2 + 2rh)\\\pi = \frac{A}{2r^2 + 2rh}$

This is the xpression for $\pi$

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