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Fantom [35]
2 years ago
5

On a number line, suppose point E has a coordinate of 4, and EG = 11. What are the possible coordinates of point G?

Mathematics
1 answer:
navik [9.2K]2 years ago
4 0

Answer:

  -7, 15

Step-by-step explanation:

The positive difference between E and G is 11.

<h3>Solution</h3>

  G - E = 11

  G = 11 + E = 11 + 4

  G = 15 . . . . . . . . . . . . . when G is right of E

__

  E - G = 11

  E - 11 = G = 4 - 11

  G = -7 . . . . . . . . . . . . when G is left of E

Possible coordinates for G are -7 and 15.

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Answer:

The minimum value of f(x) is 2

Step-by-step explanation:

  • To find the minimum value of the function f(x), you should find the value of x which has the minimum value of y, so we will use the differentiation to find it
  • Differentiate f(x) with respect to x and equate it by 0 to find x, then substitute the value of x in f(x) to find the minimum value of f(x)

∵ f(x) = 2x² - 4x + 4

→ Find f'(x)

∵ f'(x) = 2(2)x^{2-1} - 4(1)x^{1-1} + 0

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→ Divide both sides by 4

∴ x = 1

→ The minimum value is f(1)

∵ f(1) = 2(1)² - 4(1) + 4

∴ f(1) = 2 - 4 + 4

∴ f(1) = 2

∴ The minimum value of f(x) is 2

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