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
Tatiana [17]
3 years ago
14

What is the numerator of the simplified sum?

Mathematics
1 answer:
sashaice [31]3 years ago
8 0

Answer:

4x + 6

Step-by-step explanation:

\frac{x}{x² + 3x + 2} + \frac{3}{x + 1}

To determine what the numerator would be, after simplifying both fractions, take the following steps:

Step 1: Factorise the denominator of the first fraction, x² + 3x + 2.

Thus,

x² + 2x + x + 2

(x² + 2x) + (x + 2)

x(x + 2) +1(x + 2)

(x + 1)(x + 2)

We would now have the following as our new fractions to add together and simplify:

\frac{x}{(x + 1)(x + 2)} + \frac{3}{x + 1}

Step 2: find the highest common factor of the denominator of both fractions.

Highest common factor of (x + 1)(x + 2) and (x + 1) = (x + 1)(x + 2)

Step 3: To add both fractions, divide the highest common factor gotten in step 2 by each denominator, and then multiply the result by the numerator of each fraction.

Thus,

\frac{x}{(x + 1)(x + 2)} + \frac{3}{x + 1}

\frac{x + 3(x + 2)}{(x + 1)(x + 2)}

\frac{x + 3x + 6)}{(x + 1)(x + 2)}

\frac{4x + 6)}{(x + 1)(x + 2)}

Therefore, the numerator of the simplified form sum of both fractions = 4x + 6

You might be interested in
If a cube measures 5.3 cm on each side and has a mass of 280 grams how much is its volume​
OlgaM077 [116]

Answer:

8.1 g/cm

Step-by-step explanation:

3 0
3 years ago
the area of a parallelogram is 36x^6y^5. if the base of the parallelogram is 3xy^2,what is the height of the parallelogram ​asap
trapecia [35]

Answer:

h = 12x^5y^3

Step-by-step explanation:

The area of a parallelogram is found using A = b*h. Substitute the values given and solve for h.

A = b*h

36x^6 y^5 = 3xy^2 * h

36x^6 y^5 ÷ 3xy^2 = h

12x^5y^3 = h

4 0
3 years ago
Jake completed a marathon race in 3 hours and 12 minutes. What would be Jake's running time as a decimal?
VikaD [51]

\text{Given that Jake completed a marathon race in 3 hours and 12 minutes.}\\
\\
\text{we need to find this time in decimals. so we will convert 12 minutes into hours}\\
\\
\text{We know that there are 60 minutes in 1 hour. }\\
\\
\text{so in 1 minute there will be}=\frac{1}{60 }\text{ hour}

\text{hence in 12 minutes we have}=\frac{1}{60}\times 12=\frac{1}{5}=0.2 \text{ hours}\\
\\
\text{hence the Jake's running time is}=3\text{hours + 12 minute}\\
\\
=3\text{ hours}+0.2 \text{ hours}\\
\\
=3.2 \text{ hours}

Hence, Jake's running time in decimal is: 3.2 hours

4 0
3 years ago
For a certain race, 4 teams were allowed to enter 3 members each. A team earned 9 – n points whenever one of its members finishe
emmasim [6.3K]

Answer:

D. 3 Points

Step-by-step explanation:

Given

Members = 3

Point = 9 - n

1 \leq\ n \leq 8

Required

Determine the least possible score

The least point a member of a team can get is when n = 8.

i.e.

Point = 9 - n

Point = 9- 8

Point = 1

To get the least score, each of the 3 members must have 1 point each.

So:

Total = 3 * 1

Total = 3

5 0
3 years ago
Equivalent answers for 64 to the power of 2/3
madreJ [45]

Answer:

16

Step-by-step explanation:

Dealing with a fraction exponent on hand can be converted by using the fractional exponents rule where the fraction exponent is converted to something like this:

64^\frac{2}{3} = \sqrt[3]{64^{2}}\\

As you can see, the denominator of the fractional exponent is now the index of the radical. Here is a guide to know what goes where.

64^\frac{x}{y} = \sqrt[y]{64^{x}}

Both the original problem (64^2/3) and the converted formula can be put into a calculator.

<u>Simplify (if you want to)</u>

<u />\sqrt[3]{64^{2}}\\\sqrt[3]{4096}\\16<u />

<u />

64 to the power of 2/3 is 16.

5 0
3 years ago
Other questions:
  • A circle is centered at (−4, 9) and has a radius of 11.
    9·1 answer
  • Simplify square root of 2 multiplied by the cube root of 2. A 2 to the power of 1 over 6 B 2 to the power of 2 over 3 C2 to the
    10·1 answer
  • A tree on the farm casts a shadow that is 5 feet long. Tyler standing next to the tree casts a shadow that is 2 feet tall. If Ty
    7·1 answer
  • _(9)=(2(1-2(2)^(9)))/(1-2(2))<br><br><br>PLEASE HELP ME OUT.
    10·1 answer
  • Explain how to use Distributive Property when simplifying an expression ​
    6·1 answer
  • Solve for x in the diagram below.
    11·2 answers
  • 23 students were given green pencils to write with and 16 students got yellow. 46 student got black pens how many fewer students
    9·1 answer
  • PLEASE HELP IM GONNA FAIL
    14·1 answer
  • Imani is flying a drone. It takes off from a height of 24 feet above the ground and rises at a constant rate of 4.5 feet per sec
    13·2 answers
  • Make x the subject of the formula x/a -b=c
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!