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2 years ago

Need help with 5 6 7

Mathematics

1 answer:

sineoko [7]2 years ago

8 0

5) 1,512 is 5 because 12,600× .12 leaves you 1512$ dollars off the original price.

6) 15.38 or 15.4% if you round to the nearest tenth. 32,800÷ 2132 leaves you the % additional of the raise can also be written as 32,800 = 2132x divide both sides and x being the percent is 15.4%.

7) the discount is 49.90$ another one like 5. multiply 499.00 x .10 = 49.9 also said as 49.90.

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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)

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Overall,

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

factors to

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

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Step-by-step explanation:

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