Consider the steps for determining the quotient of ¹24 + x4
1 answer:
The simplified form of the expression has a numerator (x + 9)(2x + 1) and the denominator (x + 7) and the expression doesn't exist at (x = 9).
<h3>How to illustrate the quotient?</h3>The given expression is:
= [(3x² - 27x)/(2x² + 13x - 7)]/(3x/4x² - 1)
Firstly, factorize the expression 4x² - 1.
4x² - 1 = (2x - 1)(2x + 1)
Then, factorize 2x² + 13x - 7.
2x² + 13x - 7 = 2x² + 14x - x - 7
2x(x + 7) - 1(x + 7)
= (2x - 1)(x + 7)
Then, factorize the equation 3x² - 27x.
3x² - 27x = 3x(x - 9)
The factorized terms will be substituted into the equation. This will be:
= [3x(x - 9)/(2x - 1)(x + 7)] / 3x[(2x - 1)(2x + 1)]
= (x + 9)(2x + 1)/(x + 7)
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Answer: 52,416,000 km
Step-by-step explanation:
If a comet travels 273,000 km/hr
1) Multiply 273,000 km by 24 hours to find how far the comet travels in one day
2) multiply the answer from 1 by 8 to determine how far it travels in 8 days
1) *
=
(hours cancel out)
2)*8 day= 52,416,000 km in 8 days
The comet approximately travelled 52,416,000km from when it began to travel to when it reached Earth. Hope this helped :)