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mariarad [96]
3 years ago
7

Find the sum. 5 2a a? + 2a + 1 + a2 + 4a + 3

Mathematics
2 answers:
Vinvika [58]3 years ago
7 0

Answer:

=  \frac{2 {a}^{2}  + 11a + 5}{  {(a + 1)}^{2}(a + 3)} \\

Step-by-step explanation:

\frac{2a}{ {a}^{2}  + 2a + 1} +  \frac{5}{ {a}^{2} + 4a + 3 } \\  \frac{2a}{(a + 1)(a + 1)}    +  \frac{5}{(a + 1)(a + 3)}  \\   \frac{2a}{ {(a + 1)}^{2} }  +  \frac{5}{(a + 1)(a + 3)}  \\  \frac{2a(a + 3) + 5(a + 1)}{ {(a + 1)}^{2}(a + 3) }  \\  \frac{2 {a}^{2} + 6a + 5a + 5 }{ {(a + 1)}^{2}(a + 3)} \\  =  \frac{2 {a}^{2}  + 11a + 5}{  {(a + 1)}^{2}(a + 3)}

Salsk061 [2.6K]3 years ago
5 0

\frac{2a}{a^2+2a+1}+\frac{5}{a^2+4a+3}

Factor the denominators.

\frac{2a}{\left(a+1\right)^2}+\frac{5}{\left(a+1\right)\left(a+3\right)}

Adjust fractions based on LCM.

\frac{2a\left(a+3\right)}{\left(a+1\right)^2\left(a+3\right)}+\frac{5\left(a+1\right)}{\left(a+1\right)^2\left(a+3\right)}

Denominators are same, so add the fractions.

\frac{2a\left(a+3\right)+5\left(a+1\right)}{\left(a+1\right)^2\left(a+3\right)}

Expand the numerator.

\frac{2a^2+11a+5}{\left(a+1\right)^2\left(a+3\right)}

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Three months later, Pepe averaged a speed of 4/5 of a mile in 1/10 of an hour, while Paula averaged 5/6 of a mile in 1/12 of an
MAVERICK [17]

Answer:

2 miles per hour

Step-by-step explanation:

We have to calculate the miles per hour of each person

Formula = Distance in miles/ Time in hours

a) For Pepe

Pepe averaged a speed of 4/5 of a mile in 1/10 of an hour

Hence,

= 4/5 miles / 1/10 hour

= 4/5 miles ÷ 1/10 hour

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b) For Paula

Paula averaged 5/6 of a mile in 1/12 of an hour.

Hence,

= 5/6 miles / 1/12 hour

= 5/6 miles ÷ 1/12 hour

= 5/6 miles × 12 hour

= 10 miles per hour

Therefore, In miles per hour, the number of miles Paula ran faster than Pepe is calculated as:

10 miles per hour - 8 miles per hour

= 2 miles per hour

3 0
3 years ago
2 of 5
otez555 [7]

The neither of the statement is not from the least to greatest.

According to the statement

We have to find that the order of the numbers from least to the greatest.

So, For this purpose, we know that the

The order of an element in a group is the smallest positive power of the element which gives you the identity element.

From the given information:

We have to find the statement which represent the numbers in order from least to greatest.

And we know that the square root of 8 is 2.82.

then

A) 2.31, 2, √8

2.31, 2, 2.82

this is not from least to greatest.

Then

B) √8, 2, 2.31

2.82, 2, 2.31

This is from greatest to least.

C) 2,√8, 2.31

2,2.82, 2.31

This is not from least to greatest

D) √8, 2, 2.31

2.82, 2, 2.31

This is not from least to greatest

So, The neither of the statement is not from the least to greatest.

Learn more about order of an element here

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Answer:

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