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3 years ago

|2x−3y| if x=0.5; y=−0.7 help me out please

Mathematics

2 answers:

Inessa05 [86]3 years ago

7 0

The answer is 3.1
(2*0.5)-(3*-0.7)
1-(-2.1)
1+2.1
3.1

oee [108]3 years ago

5 0

The given expression is

$| 2x-3y | , x=0.5, y=-0.7$

Substituting the given values of x and y, we will get

$| 2(0.5)-3(-0.7) | = | 1+ 2.1 | = |3.1 |$

And absolute value of both positive and negative number is a positive number .

Therefore the final answer is

$| 3.1 | = 3.1$

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Read 2 more answers

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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