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Natalija [7]
3 years ago
5

What is the factor of x^2 -9x +18

Mathematics
1 answer:
Rashid [163]3 years ago
5 0
X^2 - 9x + 18
factors of 18: 1*18, 2*9, 3*6,
the sums of the factors: 19, 11, 9
the positive 18 tells us both factors have the same sign, the negative 9 tells us they are both negative
(x - 3)(x - 6)
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The any would be -7/-3
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2 years ago
The graph of a quadratic relationship is in the shape of a parabola. Parabolas are symmetric arcs and are useful for modeling re
zhuklara [117]

Answer:

  • The arcs on the Golden Gate Bridge.

Explanation:

I think about the Golden Gate Bridge, which is a suspension bridge.

As in any suspension bridge, a long cable is supported by two large supports.

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As a <em>unique feature</em> of this parabolic arc you can tell that the the concavity is upward; the parabola open upward.

Also, you can tell that the parabola is vertical, which means that the axis of symmetry is vertical.

The <em>symmetry</em> is clear because to the curve to the left of the vertex is a mirror image of the curve to the right of the vertex.

6 0
3 years ago
Help me please I need help!!!!
marta [7]

Answer:

Answer B (proportional)

Step-by-step explanation:

The variable y and x are related by the constant of proportionality "6" in the expression

y = 6 x

Such means that if x adopts whatever value, y is always proportional to that x-value, by the multiplicative factor 6.

y is proportional to x via the proportionality constant (it has to be always a multiplicative constant) "6"

6 0
3 years ago
¿Para cuál(es) valor(es) de p las rectas de ecuación x − 1/p = 2 − y/p y x − 1/1 − p = y − 2/2 son perpendiculares? A) Solo para
Akimi4 [234]

Respuesta:

C) Solo para el -1

Explicación paso a paso:

Para resolver este problema, debemos de determinar la pendiente en cada una de las ecuaciones provistas:

\frac{x-2}{p}=\frac{2-y}{p}

y

\frac{x-1}{1-p}=\frac{y-2}{2}

ahora bien, necesitamos conocer el valor de la pendiente de una de las dos ecuaciones. Tomemos la primera ecuación y resolvámosla para y:

\frac{x-2}{p}=\frac{2-y}{p}

Multiplicamos ambos lados para p y obtenemos:

x-1=2-y

volteamos la ecuación y nos da:

2-y=x-1

pasamos el 2 a restar al otro lado y nos da:

-y=x-1-2

-y=x-3

y dividimos ambos lados de la ecuación dentro de -1

y=-x+3

esta ecuación ya tiene la forma pendiente intercepto:

y=mx+b

donde m es nuestra pendiente:

m_{1}=-1

Esta es la pendiente de una de las dos ecuaciones, para que la segunda ecuación sea perpendicular a la primera, su pendiente debe de ser el recíproco negativo de la pendiente de la primera ecuación, entonces la pendiente de la segunda ecuación debe ser:

m_{2}=-\frac{1}{m_{1}}

m_{2}=-\frac{1}{-1}

m_{2}=1

ahora tomamos la segunda ecuación y encontramos su pendiente. Tomemos la ecuación:

\frac{x-1}{1-p}=\frac{y-2}{2}

y despejemos y, comenzamos multiplicando ambos lados de la ecuación por 2, así que obtenemos:

2\frac{x-1}{1-p}=y-2

Multiplicamos el 2 por cada término de la fracción, entonces obtenemos:

\frac{2x-2}{1-p}=y-2

ahora pasamos el 2 a sumar al lado izquierdo y obtenemos:

\frac{2x-2}{1-p}+2=y

Ahora podemos separar la fracción del lado izquierdo en dos fracciones para obtener:

\frac{2x}{1-p}-\frac{2}{1-p}+2=y

volteamos la ecuación y nos da:

y=\frac{2x}{1-p}-\frac{2}{1-p}+2

Ahora nuestra ecuación ya tiene la forma y=mx+b

de aquí podemos determinar nuestra pendiente:

m=\frac{2}{1-p}

Con la primera ecuación determinamos que esta pendiente debería de ser igual a 1, entonces igualamos esa segunda pendiente a 1 para obtener:

\frac{2}{1-p}=1

y despejamos p

Pasamos a multiplicat el 1-p al lado derecho de la ecuación para obtener:

2=1-p

volteamos la ecuación:

1-p=2

pasamos el 1 a restar al lado derecho:

-p=2-1

-p=1

y multiplicamos ambos lados de la ecuación por -1 para obtener:

p=-1

Entonces la respuesta es C) solo para el -1

4 0
3 years ago
Mrs. wright made 92 cups of fruit punch for a party. how many gallons of punch did she make?
Genrish500 [490]

Answer:

5.75 - 5 3/4

Step-by-step explanation:

1 Cup = 0.0625 gallons

92 cups = 5.75 gallons

8 0
1 year ago
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