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3 years ago

I have this problem for hw and it’s due tomorrow. can someone please help me? (it’s y-4 not 4-4)

Mathematics

1 answer:

Vesnalui [34]3 years ago

3 0

Answer:

All real numbers

Step-by-step explanation:

$-2(y - 4) = 20 - 2y - 12$

Start by distributing -2 inside the parentheses.

$-2y + 8 = 20 - 2y - 12$

Combine like terms on the right side of the equation.

$-2y + 8 = 8 - 2y$

Subtract 8 from both sides of the equation.

$-2y =- 2y$

Divide both sides by -2 to isolate y.

$0=0$

This is a true statement, so there are infinite solutions.

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Answer:

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Step-by-step explanation:

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2 years ago

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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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2 years ago

The base and hight is 5 and 5

WINSTONCH [101]

Answer:

The area of the deck that surrounds the hot tub is 17.9 m².

Step-by-step explanation:

Base of deck = 5 m

Height of deck = 5 m

Area of deck = base*height

= 5*5

= 25 m²

A circular hot tub is placed in the deck whose diameter is 3 m.

Radius = diameter/2

= 1.5 m

Area of the circular hot tub = πr²

= 3.14*(1.5*1.5)

= 7.07 m²

Area of the deck that surrounds the hot tub = Area of deck - Area of tub

= 25 - 7.07

= 17.93 m²

= 17.9 m²

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2 years ago

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