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3 years ago

Simplify completely quantity 2 x squared plus 16 x plus 30 all over quantity 5 x squared plus 13 x minus 6.

2 answers:

8 0

(2x^2 + 16x + 30) / (5x^2 + 13x -6)
Start by factoring the numerator and denominator.
Cancel any like factors.

2(x^2 + 8x + 15)
2(x + 5)(x + 3) / (5x -2)(x + 3
2(x + 5) / (5x - 2)
The third choice

kvasek [131]3 years ago

6 0

Answer: Third option is correct.

Step-by-step explanation:

Since we have given that

Quantity 2 x squared plus 16 x plus 30 all over quantity 5 x squared plus 13 x minus 6 i.e.

$\frac{2x^2+16x+30}{5x^2+13x-6}$

We just need to simplify the numerator and denominator :

1) Simplify the numerator by using the Splitting the middle terms:

$2x^2+16x+30\\\\=2x^2+10x+6x+30\\\\=2x(x+5)+6(x+5)\\\\=(2x+6)(x+5)\\\\=2(x+3)(x+5)$

2) Simplify the denominator by using the Splitting the middle terms:

$5x^2+13x-6\\\\=5x^2+15x-2x-6\\\\=5x(x+3)-2(x+3)\\\\=(5x-2)(x+3)$

Now, we use the both results in the expression:

$\frac{2(x+3)(x+5)}{(5x-2)(x+3)}\\\\=\frac{2(x+5)}{5x-2}$

So, 2 open parentheses x plus 5 close parentheses over quantity 5 x minus 2.

Hence, Third option is correct.

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A particular automatic sprinkler system has two different types of activation devices for each 3 sprinkler head. One type has a

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Answer:

There is an 85% probability that the sprinkler head will be activated.

Step-by-step explanation:

We have these following probabilities:

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50% of the second sprinkler being triggered

80% of the second sprinkler being reliable.

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$P = P_{1} + P_{2}$

$P_{1}$ is the probability of the first sprinkler being triggered and activated. So:

$P_{1} = 0.5*0.9 = 0.45$

$P_{2}$ is the probability of the second sprinkler being triggered and activated. So:

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3 years ago

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Which statement is not always true?(1) The product of two irrational numbers is irrational.
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The statement that is not always true is the <span>sum of two rational numbers is rational. The answer is number 3.</span>

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3 years ago

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Answer:

Step-by-step explanation:

Add 65+40 which is going to give you 105 then once you get 105 subtract 65-40 which is going to give you 25 the 105 is the total so the whole answer is 25

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3 years ago

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2 years ago

Ryan has 1/2 pound of chocolate. He divides it into 4 equal portions. Write the amount of chocolate, in pounds, in each portion

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Answer:

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Step-by-step explanation:

Ryan has 1/2 pound of chocolate

He divided into 4 portions

Therefore the amount each of them will get can be calculated as follows

1/2 ÷ 4

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Hence each portion Is 1/8

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3 years ago