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Maxwell8066
21.07.2020 •
Mathematics
please help ASAP. Create a quadratic inequality that has this solution: x ≤ -7 or x ≥ -1. Explain your strategy.
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Ответ:
y ≤ x² + 8x + 7
Step-by-step explanation:
x ≤ -7 --> x + 7 ≤ 0
x ≥ -1 --> x + 1 ≥ 0
First, let's figure out the quadratic equation:y = (x + 7)(x + 1)
y = x² + 8x + 7
Next, let's figure out which inequality symbol to use:The quadratic is positive so it is U-shaped
x ≤ -7 and x ≥ -1
means the outside of the U-shaped parabola is shaded
so we need to use the ≤ symbol
Note: if the inequality symbols were reversed, the shading would be inside the U-shaped parabola so we would use the ≥ symbol.
Ответ:
20 degrees
Step-by-step explanation:
One angle is 70 degrees and the other is 90. Angles of a triangle add up to 180. 180 - 70 - 90 = 20. The final angle is 20 degrees.