What is the meaning of the variable x in terms of the situation?

Answer:

see explanation

Step-by-step explanation:

This is a quadratic equation

Rearrange into standard form : ax² + bx + c = 0 : a ≠ 0

subtract 20e from both sides

25e² - 20e + 4 = 0 ← in standard form

This is a perfect square of the form

(a - b)² = a² - 2ab + b²

25e² = (5e)² ⇒ a = 5e and 4 = 2² ⇒ b = 2, and

- 2ab = - 2 × 5e × 2 = - 20e, hence

25e² - 20e + 4 = (5e - 2)²

⇒ (5e - 2)² = 0 ⇒ e = with multiplicity 2

Answer:

3

Step-by-step explanation:

Answer:

B. 2x + 3 ≥ 11 or 4x - 7 ≤ 1

Step-by-step explanation:

Given compound inequality,

In option A,

2x + 3 ≥ 11 and 4x - 7 ≤ 1

⇒ 2x ≥ 8 and 4x ≤ 8

⇒ x ≥ 4 and x ≤ 2

2x + 3 ≥ 11 and 4x - 7 ≤ 1 can not be the correct inequality,

In option B,

2x + 3 ≥ 11 or 4x - 7 ≤ 1

⇒ 2x ≥ 8 or 4x ≤ 8

⇒ x ≥ 4 or x ≤ 2

Which is shown in the given graph,

Thus, 2x + 3 ≥ 11 or 4x - 7 ≤ 1 is the correct compound inequality,

In option C,

2x + 3 > 11 or 4x - 7 < 1

⇒ 2x > 8 or 4x < 8

⇒ x > 4 or x < 2

So, which is not shown in the graph,

2x + 3 > 11 or 4x - 7 < 1 can not be the correct compound inequality,

In option D,

2x + 3 ≥ 11 or 4x - 7 ≥ 1

⇒ 2x ≥ 8 or 4x  ≥ 8

⇒ x ≥ 4 or x  ≥ 2

Which is not shown in the graph,

2x + 3 ≥ 11 or 4x - 7 ≥ 1 is not the correct compound inequality.

B.. 4 is less than or equal to x, 2 is greater or equal to x