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kotegsom [21]
2 years ago
9

NEED ANSWERS QUICKLY! CORRECT ANSWER GETS BRAINLIEST

Mathematics
1 answer:
dolphi86 [110]2 years ago
3 0

Answer/Step-by-step explanation:

Quotient is simply the ratio of the first numerator to the second numerator:

Let's \frac{x_1}{y}\;and\;\frac{x_2}{y} are two fractions in same terms.

Thus, \frac{x_1}{y}\div\frac{x_2}{y} {Divided by a fraction is equal to multiplied by its reciprocal}

=\frac{x_1}{y}\times\frac{y}{x_2}

Quotient is simply the quotient of their numerators.

Example could be:

\frac{2}{7}\div\frac{3}{7}

\frac{2}{7}\times\frac{7}3}

\frac{2}{3}

2 is first numerator and 3 is the second numerator.

<u><em>~lenvy~</em></u>

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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)

6 0
3 years ago
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