Answer:
The equivalent expression for |b| > 2 is {b : b < -2} ∪ {b : b > 2}.
Step-by-step explanation:
The expression |x| < a is equivalent to -a < x < a and the expression |x| > a is equivalent to {x : x < -a} ∪ {x : x > a}.
This means, the set of all points that satisfy the inequality |x| < a is the set of all points between -a and a exclusive of -a and a.
The set of all points that satisfy the inequality |x| > a is the set of all points that are less than -a and the set of all points that are greater than a.
Hence, the equivalent expression for |b| > 2 is {b : b < -2} ∪ {b : b > 2}.
Answer:
The mass of the larger hummingbird is 7 1/2 or 15/2.
Step-by-step explanation:
Bee hummingbird = 1 1/4g
Larger hummingbird = 6x that
So,
1 1/4 x 6 = 7.5
7.5 as fraction = 7 1/2 or 15/2
Round to 3.14. Hope this helps
Answer:
y = -3x -2.5
slope: -3
y-intercept: -2.5
Step-by-step explanation:
Solve for y.
-4y = 12x + 10 . . . . . add 12x to get the y-term by itself
y = -3x -2.5 . . . . . . .divide by the coefficient of y
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The slope is the coefficient of x, -3.
The y-intercept is the constant, -2.5.
Answer:
12sqrt5i
Step-by-step explanation: