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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

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5 0
3 years ago
It’s not C and I suck at math can someone plz help me on this plz and thx
Fittoniya [83]

Answer:

a

Step-by-step explanation:

The volume (V) of a cone is calculated as

V = πr²h ( r is the base radius and h the perpendicular height )

To calculate the height h use the right triangle formed by the radius and the inclined side.

Given diameter = 22, then r = 22 ÷ 2 = 11 cm

Using Pythagoras' identity on the right triangle, then

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h² + 121 = 3721 ( subtract 121 from both sides )

h² = 3600 ( take the square root of both sides )

h = \sqrt{3600} = 60

Thus

V = π × 11² × 60

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7 0
3 years ago
Tony is mailing packages. Each small package costs him $2.80 to send. Each large package costs him $3.60. How much will it cost
Natasha_Volkova [10]

Answer:

The answer is $33.6

Step-by-step explanation:

Each small package costs him $2.80

3 small packages will cost him 3 x $2.80 = $8.4

 

Each large package costs him $3.60

7 large packages will cost 7 x $3.60 = $25.2

 

Cost to  send 3 small packages and 7 large packages = $8.4 + $25.2

= $33.6

6 0
2 years ago
Given the Function:
sergey [27]
F(x)=-2e^x
x=3
f(3)=-2e^3
pemdas so exponents first
e^3
e=2.718281828454590
cube that
20.0855

now we have
-2 times 20.0855=-40.1711

answer should be -40.1711
(I see what you did wrong, if -6=-2 times e^3, divide -2, 3=e^3, maybe you just put -2 times 3 by mistake)
5 0
3 years ago
Read 2 more answers
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