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Vikentia [17]
3 years ago
8

Evaluate the expression below

Mathematics
1 answer:
IRISSAK [1]3 years ago
4 0
-2 times -2 is 4. 4 times 3 is 12. 5 times 3 is 15. 12-15+8. equals 5
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What is the sum? StartFraction 3 y Over y squared + 7 y + 10 EndFraction + StartFraction 2 Over y + 2 EndFraction
katovenus [111]

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}.

4 0
3 years ago
The expression 96^2 - 95^2 is a difference of two squares. How can you use the factors (96 - 95)(96 +95) to make it easier to si
crimeas [40]
The first factor simplifies to 1 and the second factor simplifies to 191, which are very easy to evaluate. Hence,

96^2 - 95^2 = (96-95)(96+95)
= (1)(191)
= 191

the answer is 191 :)
8 0
4 years ago
Read 2 more answers
How do I do 13 • 0 • p
V125BC [204]

It is 0. Anything times 0 is 0.

8 0
3 years ago
A family purchases a light sphere to be used out on their patio. The diameter of the sphere is 20 in. What is the volume of the
3241004551 [841]

Answer:

The volume of the light sphere is 2355in³

Step-by-step explanation:

We know that the formula to calculate the volume of a sphere is

 v = 3/4 * π * r³

we know that the diameter is 20in but we need to know the radius, the radius is half the diameter

r = 1/2 * 20in

r = 10 in

π = 3.14

we replace the values ​​and calculate the volume of a sphere

v = 3/4 * 3.14 * (10in)³

v = 3/4 * 3.14 * (1000in³)

v = 2355in³

The volume of the light sphere is 2355in³

5 0
3 years ago
Read 2 more answers
What’s the slope of (-11,-5), (10,16)
borishaifa [10]

Answer:

m=1

Step-by-step explanation:

8 0
3 years ago
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