The result is x^2 +x +4 -21/(x+3).
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Polynomial long division tends to be easier than numerical long division because the quotient term never needs adjustment. It is always the ratio of the highest degree terms of the dividend and divisor.
See the attachment for the intermediate steps.
We'll take out LCM of 24 seconds and 28 seconds.
that is, 168 seconds.
That means,
Car A and Car B will be side by side to each other after 2 mins 48 seconds after start.
The slope of <em>y</em> = 2<em>x</em> - 5 is 2. Parallel lines have the same slope, so the slope of the line through the given points <em>A</em> and <em>B</em> is also 2. This means
(8 - 4) / (6 - <em>n</em>) = 2
Solve for <em>n</em> :
4 / (6 - <em>n</em>) = 2
4/2 = 6 - <em>n</em>
2 = 6 - <em>n</em>
<em>n</em> = 6 - 2
<em>n</em> = 4
The expression which can be used to solve this problem is 5.50h + 1.5h.
Since the given data is 44.5 hour week, all we need to do is substitute the given data to the expression. Since it takes 56 hours a week for a complete office/working hour without overtime, Joel's 44.5 hour week means he did not have overtime hours. Therefore the solution is,
5.50(44.5) = 244.75 Dollars.
