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Viktor [21]
4 years ago
8

Reduce the fraction to lowest terms. Do not use spaces in your answer. y+5 / 2y + 10

Mathematics
1 answer:
Tcecarenko [31]4 years ago
7 0

Assuming 5/2y is the fraction,

= y + 5/2y + 10

You can divide the entire fraction (both numerator and denominator) by 2

= y + 2.5/y + 10

That is as far simplified, or 'lowest terms' as it gets.

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Step-by-step explanation:

Solving inequalities requires the same steps as solving equations except for one exception. When you multiply or divide by a negative during the solving process, you must flip the sign to maintain the relationship. This occurs when the variable x has a negative coefficient. Neither 2 nor 3 has this case. Neither needs the sign flipped. Both are false.

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If an arrow is shot upward on Mars with a speed of 56 m/s, its height in meters t seconds later is given by y = 56t − 1.86t2.
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Step-by-step explanation:

The average speed over the given time interval [a,b]: = \frac{y(b)-y(a)}{b-a}

Given: If an arrow is shot upward on Mars with a speed of 56 m/s, its height in meters t seconds later is given by y = 56t − 1.86t^2.

(a)

(i) average speed = \frac{y(2)-y(1)}{2-1}

=\frac{56(2)-1.86(2)^2-(56(1)-1.86(1)^2)}{1}

=50.42 m/s

(ii) average speed = \frac{y(1.5)-y(1)}{1.5-1}

=\frac{56(1.5)-1.86(1.5)^2-(56(1)-1.86(1)^2)}{0.5}

=51.35m/s

(iii) average speed = \frac{y(1.1)-y(1)}{1.1-1}

=\frac{56(1.1)-1.86(1.1)^2-(56(1)-1.86(1)^2)}{0.1}

=52.094m/s

(iv) average speed = \frac{y(1.01)-y(1)}{1.01-01}

=\frac{56(1.01)-1.86(1.01)^2-(56(1)-1.86(1)^2)}{0.01}

=52.2614
m/s

(v) average speed = \frac{y(1.001)-y(1)}{1.001-01}

=\frac{56(1.001)-1.86(1.001)^2-(56(1)-1.86(1)^2)}{0.001}

=52.27814
m/s

(b) y(1)=56(1)-1.86(1)^2

=56-1.86

= 54.14 m/s

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