1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Scrat [10]
3 years ago
9

What is the sum? StartFraction 3 y Over y squared + 7 y + 10 EndFraction + StartFraction 2 Over y + 2 EndFraction

Mathematics
1 answer:
katovenus [111]3 years ago
4 0

Answer:

\dfrac{5}{y+5}

Step-by-step explanation:

Here, we have to find the sum of 2 fractions:

1st fraction: \dfrac{3y}{y^{2}+7y+10}

2nd fraction: \dfrac{2}{y+2}

Considering the denominator of 1st fraction:

y^{2}+7y+10

Using factorization method:

7y can be written as (2y + 5y).

\Rightarrow y^{2}+2y+5y+10

Taking <em>5 common</em> from 5y+10 and <em>y common</em> from y^{2}+2y: \Rightarrow y(y+2)+5(y+2)

Now taking (y+2) common:

\Rightarrow (y+5)(y+2)

\dfrac{3y}{y^{2}+7y+10} can be written as \dfrac{3y}{(y+5)(y+2)}

Now, calculating the sum:

\dfrac{2y}{(y+5)(y+2)} + \dfrac{2}{y+2}

Taking <em>LCM</em> and solving:

\Rightarrow \dfrac{3y+2(y+5)}{(y+5)(y+2)}\\\Rightarrow \dfrac{5y+10}{(y+5)(y+2)}\\\Rightarrow \dfrac{5(y+2)}{(y+5)(y+2)}\\\Rightarrow \dfrac{5}{(y+5)}

Hence, answer is \dfrac{5}{y+5}.

You might be interested in
A yo-yo rotates 12 times every
kumpel [21]

Answer:

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
What precent of 25 is 10?​
vivado [14]

40%

40 percent of 25 is 10

10/25x100 and you will get your answer which is 40

4 0
2 years ago
Jun-seo notices that there are 13 right-handed players on his baseball team and 2left-handed players.
IRISSAK [1]

Step-by-step explanation:

ratio of the right handed to left handed is 13 to 2

8 0
3 years ago
How do you draw a two dimensional shape that has four angles in all show a picture
Talja [164]
You should search it on youtube becouse pepople cant really explain or draw the shape to show you
6 0
3 years ago
Write the value with positive exponent (1/2)-4<br><br>pls answer fast pls ​
insens350 [35]

Answer:

wow no sabría como ayudarte

7 0
3 years ago
Other questions:
  • For the graphed exponential equation, calculate the average rate of change from x = −2 to x = 1.
    8·2 answers
  • What is the constant of proportionality for y=4x
    8·1 answer
  • What percent is a 11 out of 25
    15·2 answers
  • What is the pattern for the table and what is the slope ? Please answer !!
    13·1 answer
  • A motorcycle and a car leave an intersection at the same time. the motorcycle heads north at an average speed of 20 miles per​ h
    9·1 answer
  • 5 3/4 - 2 1/2 please help me
    14·2 answers
  • How do I solve this 45 45 90 triangle
    7·1 answer
  • How do you write 0.33 as a percent
    5·2 answers
  • What is the slope of the line in the graph?<br> X<br> Please help
    7·1 answer
  • 1. Find the area of the polygon
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!