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First, list all the prime factors of both terms:
23x²: 1, 23, x, and x
6x: 1, 2, 3, and x
The two numbers share the prime factors 1 and x, so the GCF of 23x² and 6x is 1x, or x.
Answer:
a = -25
Step-by-step explanation: a+ 52/3 =9
multiply both sides by 3
3(a+52)/3 = 9.3
Simplify
a+52=27
Subtract 52 from both sides
a+52-52=27-52
Simplify
a= -25
Answer:
Yes
Step-by-step explanation:
A complete probability model should sum up the probability to 1
by adding them up, you will find the sum as 1/12 + 8/12 + 3/12 = 12/12
So, they can be a complete probability model with 3 outcomes "2", "3" & "4"
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}.
