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2 years ago

3

Mathematics

1 answer:

Ronch [10]2 years ago

5 0

Answer:

2 x + y = − 2 , x + 2 y = 2 , 6 x 2 + 3 y 2 = 12 , x + y = 2

x − y = 9 , x + y = 6, 2 x + y = − 2 , x + 2 y = 2 6 x 2+ 3 y 2 = 12 , x + y = 2 x − y= 9 , x + y = 6

Step-by-step explanation:

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What is scientific notation?

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Graph the equation y= x^2 - 2x - 8 on the accompanying set of axes. You must plot 5 points including the roots and the vertex.

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Step-by-step explanation:

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3 years ago

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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3 years ago

Trudy bought 1 foot of fabric. If she cuts the fabric into 3-inch pieces, how many pieces will she have?

WINSTONCH [101]

Answer:

Trudy will have 4 pieces of the fabric.

Step-by-step explanation:

Since, 1 foot of the fabric = 12 inches

If Trudy cuts the fabric into pieces of 3 inch.

Number of pieces she will have = $\frac{\text{Total length of the fabric}}{\text{Length of one piece}}$

= $\frac{12}{3}$

= 4 pieces

Therefore, she will have 4 pieces of the fabric.

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3 years ago