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Ann [662]
2 years ago
11

Please help ASAP

Mathematics
1 answer:
GaryK [48]2 years ago
6 0

Answer:

  • Any value of k

Step-by-step explanation:

The quadratic expression can be factored into two binomials if it has two real roots.

<u>Two real roots possible with non-negative discriminant:</u>

  • D ≥ 0

As D = b² - 4ac, we get the following inequality

  • k² - 4(3)(-8) ≥ 0
  • k² + 96 ≥ 0
  • k² ≥ - 96

This is true for any value of k

  • k ∈ (- ∞, + ∞)
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Figure 1 and figure 2 are two congruent parallelograms drawn on a coordinate grid as shown below:
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Answer:

  (a)  Reflection across the y-axis, followed by translation 10 units down

Step-by-step explanation:

Figure 2 is not a reflection across the origin of Figure 1, so neither of the double reflections will map one to the other.

Reflection across the y-axis will put the bottom point at (5, 3). The bottom point on Figure 2 is at (5, -7), so has been translated down by 3-(-7) = 10 units.

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8(3x – 2) ≤ 2(7x + 12)?
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