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now, if we a "prime factoring" of each number, we get
204 = 2*2*3*17
120 = 2*2*2*3*5
168 = 2*2*2*3*7
now, notice the GCD for all three is that common bolded values, namely 2*2*3, or 12, so each room will house 12 participants,
now, how many rooms for all German? 204 ÷ 12, or 17 rooms.
how many rooms for all English ones? 120 ÷ 12, or 10 rooms.
how many rooms for the French ones? 168 ÷ 12, or 14 rooms.
so the total amount of rooms for all of them is 17 + 10 + 14.
Answer:
The Domain is x < 3
Step-by-step explanation:
We know that ln(x) is defined for all real numbers that are greater than zero, or x > 0.
Knowing that we must make the inside of ln(x) greater than 0 so:
Multiply both sides by 2:
Add x to both sides:
or