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Ludmilka [50]
3 years ago
10

What is the result of subtracting the second equation from the first? -2x+y = 0 -7x+3y = 2

Mathematics
1 answer:
Alex3 years ago
8 0

Answer:

-5x + 2y=2

Step-by-step explanation:

- 7x + 3y = 2 \\  - 2x + y = 0 \\ subtracting \: this.we \: have \\  ( - 7x \:  + 3y - 2) - ( - 2x + y) \\  - 7x + 2x + 3y - y - 2 \\  - 5x + 2y - 2 \\ therefore \: we \: have \\  - 5x + 2y = 2

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Also these 2 :) determining the vertex and shifts/translations
Mrrafil [7]

Answer:

The answer to your question is below

Step-by-step explanation:

A) f(x) = x² + 4x + 1

Find the vertex

       y = x² + 4x + 1

-Subtract 1 in both sides

      y - 1 = x² + 4x

-Complete the perfect trinomial square in the right side

     y - 1 + (2)² = x² + 4x + (2)²

-Simplify

     y - 1 + 4 = (x + 2)²

     y + 3 = (x + 2)²

-Find the vertex

      V = (-2, -3)

B)

   f(x) = x²

   g(x) = (x - 4)² - 2      See the picture below

Shifted right           4 units

Shifted down         2 units

6 0
4 years ago
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