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MatroZZZ [7]
3 years ago
14

F left parenthesis x right parenthesis equals 9 x cubed plus 2 x squared minus 5 x plus 4 and g left parenthesis x right parenth

esis equals 5 x cubed minus 7 x plus 4. what is f left parenthesis x right parenthesis minus g left parenthesis x right parenthesis? show all of your steps and write your final answer in factored form.
Mathematics
1 answer:
Jet001 [13]3 years ago
3 0
The answer is 2x(2x²+x+1).

When we subtract polynomials we combine like terms:
(9x³+2x²-5x+4)-(5x³-7x+4)

9x³-5x³=4x³
2x²- 0 = 2x²
-5x--7x=-5x+7x=2x
4-4=0

This gives us 
4x³+2x²+2x

Each of these is divisible by 2, and each has an x, so we factor those out:
2x(                        )

4x³/2x = 2x²:
2x(2x²                   )

2x²/2x=x:
2x(2x²+x               )

2x/2x = 1:
2x(2x²+x+1)
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Ecuación 2:<br> 10x + 20y = 8000<br> ayudaaa
Elenna [48]

Answer:

y = 300

x = 200

Step-by-step explanation:

Esta pregunta parece incompleta, parece que acá tenemos un sistema de ecuaciones:

x + y = 500

10*x + 20*y = 8000

Estas ecuaciones tienen que resolverse en conjunto, y de acá sacaremos un par de puntos (x, y) que son solución para ambas ecuaciones.

El primer paso para resolver esto es aislar una variable en una de las ecuaciones, en este caso podemos aislar x en la primera ecuación y así obtener:

x = 500 - y.

Ahora podemos reemplazar eso en la segunda ecuación y obtener:

10*(500 - y) + 20*y = 8000.

Ahora resolvemos esto para y.

5000 - 10*y + 20*y = 8000

10*y = 8000 - 5000 = 3000

y = 3000/10 = 300.

Y sabíamos que:

x = 500 - y = 500 - 300 = 200

Entonces la solución es:

y = 300

x = 200

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