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Llana [10]
3 years ago
11

Complete the square

Mathematics
1 answer:
Nesterboy [21]3 years ago
4 0

Answer:

vertex at (1, -3)

Step-by-step explanation:

When x = 0

y² + 6y + 1 = 0

y² + 6y +   = -1

y² + 6y + 9  = -1 + 9

(y + 3)² = 8   or    (-y - 3)² = 8

y + 3 = √8    or    -y - 3 = √8

y = - 3 +√8    or    y = -3 - √8

(0, - 3 +√8)   and (0, -3 - √8)

The mid point between these two is the average

y = ( - 3 + √8 +  -3 - √8) / 2 = - 3

y² + 6y + 8x + 1 = 0

(-3)² + 6(-3) + 8x + 1 = 0

9 - 18 + 1 = -8x

- 8 = -8x

x = 1

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The system of equations representing these costs are; y = 7.5x and y = 5.5x + 10

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The slope of the first line is;

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Now, the first coordinate has a y-intercept of 10. Thus, the equation here for the cost is; y = mx + c = 5.5x + 10

The slope of the second line is;

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Now, the first coordinate has a y-intercept of 0. Thus, the equation here for the cost is; y = mx + c = 7.5x + 0 = 7.5x

Thus, the system of equations representing these costs are;

y = 7.5x and y = 5.5x + 10

Read more about Equation of a line at; brainly.com/question/13763238

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