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Marat540 [252]
3 years ago
13

Enter the coordinates of the vertex of the graph of y=2(x+5)^2

Mathematics
2 answers:
Kisachek [45]3 years ago
8 0

Answer:

The vertex is ( -5,0)

Step-by-step explanation:

The vertex form of a parabola is

y = a( x-h) ^2 +k

where ( h,k) is the vertex

y=2(x+5)^2

y=2(x - -5)^2 +0

The vertex is ( -5,0)

Mamont248 [21]3 years ago
3 0

Answer:

vertex = (- 5, 0 )

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

y = 2(x + 5)² , that is y = 2(x + 5)² + 0 ← is in vertex form

with (h, k) = (- 5, 0 )

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Usando un sistema de ecuaciones, se encuentra que

  • Cada manzana cuesta $3.
  • Cada pera cuesta $1.

-----------------------

  • Un sistema de ecuaciones soluciona esta pergunta.
  • El custo de una manzana es x.
  • El custo de una pera es y.

-----------------------

  • <u>Seis manzanas y 8 peras cuestan $26</u>, o sea, 6x + 8y = 26
  • <u>Cada manzana cuesta el triple de cada pera</u>, o sea, x = 3y

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Primero, encontramos el cuesto de una pera, substituyendo la segunda en la primera ecuación.

6x + 8y = 26

6(3y) + 8y = 26

18y + 8y = 26

26y = 26

y = \frac{26}{26}

y = 1

Cada pera cuesta $1.

-----------------------

<u>Cada manzana cuesta el triple de cada pera</u>, o sea, x = 3y = 3(1) = 3.

Cada manzana cuesta $3.

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