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atroni [7]
3 years ago
15

I need help to better understand this worksheet...

Mathematics
1 answer:
Murrr4er [49]3 years ago
3 0

Answer:

When you have a equation such as

y = 2x + 4

This means, that whatever x equals, do the rest equation for y. They give you a table, the numbers under x, you replace x with the x in the equation. Multiply it next to the number. Do the rest of the equation, that is how you get y.

Once you do all x numbers, you have to graph it.

X = run

Y = rise

X is the horizontal line

Y is the vertical line

                                               |

                                               |

                                               |

                                               |

                                               

       ---------------------------------------------------------------------------|

                                               |

                                               |

                                               |

                                               |

Look at the middle, the x numbers that are to the right of the vertical line are negative.

The ones to the left are positive.

The numbers that are on the top of y are positive

The numbers that are on the bottom are negative.

Hope this helps!

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Answer:

The correct answer is:   3x² (4x - 1) / (x - 4) (x - 3) ∧ restriction x ≠ 3, x ≠ 4, x ≠ 0 and x ≠ 1/4

Step-by-step explanation:

Given:

((16x² - 8x + 1) / (x² - 7x + 12)) : ((20x² - 5x) / 15x³) =

dividing with one fraction is the same as multiplying with its reciprocal value

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First we need to factorize both numerators and denominators

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20x² - 5x = 5x (4x - 1)

(4x - 1)² / (x - 4) (x - 3) ·  15x³ / 5x (4x - 1)

The existence of this rational algebraic expression is possible only if it is:

x - 4 ≠ 0 and x - 3 ≠ 0 and x ≠ 0 and 4x - 1 ≠ 0  =>

x ≠ 4 and x ≠ 3 and x ≠ 0 and x ≠ 1/4  This is restriction

Finally we have:

3 x² (4x - 1) / (x - 4) (x - 3)

God with you!!!

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