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viktelen [127]
2 years ago
13

Simplify the following polynomial expression.

Mathematics
1 answer:
victus00 [196]2 years ago
7 0

Answer:

  5x^4 -37x^3 -6x^2 +41x -6

Step-by-step explanation:

We simplify this expression by removing parentheses and combining like terms. Parentheses are removed using the distributive property.

<h3>Form the product</h3>

The product of the final pair of polynomials in parentheses is ...

  (-4x^3 +5x -1)(2x -7) = (-4x^3 +5x -1)(2x) +(-4x^3 +5x -1)(-7)

  = -8x^4 +10x^2 -2x +28x^3 -35x +7

  = -8x^4 +28x^3 +10x^2 -37x +7

<h3>Combine with remaining sums</h3>

  = (5x^4 -9x^3 +7x -1) + (-8x^4 +4x^2 -3x +2) - (-8x^4 +28x^3 +10x^2 -37x +7)

  = (5 -8 -(-8))x^4 +(-9 -28)x^3 +(4 -10)x^2 +(7 -3 -(-37))x +(-1 +2 -7)

  = 5x^4 -37x^3 -6x^2 +41x -6

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Which graph shows the solution to the system of equations 2x + y = 4 and 3x - 2y = 6?
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UkoKoshka [18]

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Step-by-step explanation:

The perimeter of of the shaded region is

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*Finding AC

The diagonals of a rectangle are equal is measurement. Since RB is a radius of the circle, then RB is 6. Since AC and RB are both diagonals of the rectangle, then AC is also 6.

*Finding CT

CT=RT-RC where RC is the width of the rectangle

Also RT is a radius so we have that

CT=6-RC

*Finding marcSBT

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We have a quarter of this with r=6.

1/4*2pi(6)

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3pi

*Finding SA

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So we have that this can be rewritten as

SA=6-AR

Let's put these parts together:

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