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2 years ago

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Mathematics

1 answer:

Andre45 [30]2 years ago

8 0

Answer:

of(x) = 2(x+9)(x-5

Step-by-step explanation:

i used googl

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Jack says if you multiply a number by a fraction the product will always be smaller than what you started with. Is he correct? W

Alexus [3.1K]

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true and false

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3 years ago

A triangle with vertices (−3, −3), (−6, 2), and (−1, 5) is what type of triangle? A) Equilateral B) Scalene C) Right D) Isoscele

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C) Right

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3 years ago

An expression that equivalent to 12x + 8

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Step-by-step explanation:

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3 years ago

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maxonik [38]

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Step-by-step explanation:

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2 years ago

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 5 common from $5y+10$ and y common 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 LCM 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 $\dfrac{5}{y+5}$ .

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3 years ago