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ZanzabumX [31]
2 years ago
9

Please answer question

Mathematics
1 answer:
Nata [24]2 years ago
4 0

Answer:

  • given below.

Step-by-step explanation:

for f(x):

0

2

2√2

4

for g(x):

2

2√2

2√3

2√5

for h(x):

4

6

4+2√2

8

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5x3 + 14x2 + 9x <br> help
Cerrena [4.2K]
<h3>Answer:    x(x+1)(5x+9) </h3>

===================================================

Work Shown:

5x^3 + 14x^2 + 9x

x( 5x^2 + 14x + 9 )

To factor 5x^2 + 14x + 9, we could use the AC method and guess and check our way to getting the correct result.

A better way in my opinion is to solve 5x^2 + 14x + 9 = 0 through the quadratic formula

x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-(14)\pm\sqrt{(14)^2-4(5)(9)}}{2(5)}\\\\x = \frac{-14\pm\sqrt{16}}{10}\\\\x = \frac{-14\pm4}{10}\\\\x = \frac{-14+4}{10} \ \text{ or } \ x = \frac{-14-4}{10}\\\\x = \frac{-10}{10} \ \text{ or } \ x = \frac{-18}{10}\\\\x = -1 \ \text{ or } \ x = \frac{-9}{5}\\\\

Then use those two solutions to find the factorization

x = -1  or  x = -9/5

x+1 = 0  or  5x = -9

x+1 = 0  or  5x+9 = 0

(x+1)(5x+9) = 0

So we have shown that 5x^2 + 14x + 9 factors to (x+1)(5x+9)

-----------

Overall,

5x^3 + 14x^2 + 9x

factors to

x(x+1)(5x+9)

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Tis’ 5 mah lad

Explernation:

Yee Welcome.
Have a great day!
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I dont know how to word it right but basically it's colder because the sun goes down and you're away from the sun like the other side of the world is getting a day while u sleep. Its hotter in the morning because the moon has rotated and it is on the other side now.

Step-by-step explanation:

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