Mathematics, 13.11.2019 23:31 lbabineaux9887

Inverse of 2(x – 2)2 = 8(7 + y)

a)–2(x – 2)2 = –8(7 + y)
b)1/4x^2-x-6
c)-2+/- sqrt 28+4x
d)2+/- sqrt 28+4x

Answers: 1

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Answers

2(x - 2)² = 8(y + 7)
2(x - 2)(x -2) = 8(y) + 8(7)
  2[x(x - 2) - 2(x - 2)] = 8y + 56
2[x(x) - x(2) - 2(x) + 2(2)] = 8y + 56
  2(x² - 2x - 2x + 4) = 8y + 56
2(x² - 4x + 4) = 8y + 56
2(x²) - 2(4x) + 2(4) = 8y + 56
2x² - 8x + 8 = 8y + 56
- 56 - 56
2x² - 8x - 48 = 8y
8 8
¹/₄x² - x - 6 = y
¹/₄y² - y - 6 = x
+ 6 + 6
  ¹/₄y² - y = x + 6
4(¹/₄y² - y) = 4(x + 6)
4(¹/₄y²) - 4(y) = 4(x) + 4(6)
  y² - 4y = 4x + 24
  y² - 4y + 4 = 4x + 24 + 4
y² - 2y - 2y + 4 = 4x + 28
y(y) - y(2) - 2(y) + 2(2) = 4x + 28
y(y - 2) - 2(y - 2) = 4x + 28
  (y - 2)(y - 2) = 4x + 28
  (y - 2)² = 4x + 28
  √(y - 2)² = √(4x + 28)
  y - 2 = √4(x) + 4(7)
y - 2 = √4(x + 7)
y - 2 = 2√(x + 7)
  + 2 + 2
y = 2 ± 2√(x + 7)
The answer is D.

Answer from: Quest

$x \geqslant - 6$

step-by-step explanation:

it's is b

() solve the inequality below for x: -4x-11< 13

Answer from: Quest

1. 8

2. 9

3. 20

4. 3

5. 17

6. 2.2

7. 11.25

8. 1

9. 14

10. 2

step-by-step explanation:

thats the first half

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Inverse of 2(x – 2)2 = 8(7 + y)

a)–2(x – 2)2 = –8(7 + y)
b)1/4x^2-x-6
c)-2+/...