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Ganezh [65]
3 years ago
13

Which Event Has Exactly 12 Outcomes A.) Tossing A Coin And Randomly Choosing One Of The 4 Different Cards B.) Rolling A Number C

ube With Sides Labeled 1-6 And Then Rolling The Number Cube Again C.) Tossing A Coin 6 Times D.) Rolling A Number Cube With Sides Labeled 1-6 And Tossing A Coin
Mathematics
1 answer:
Katen [24]3 years ago
3 0
Pretty sure it’s D because 6•2=12
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Answer:

Answer B   (-\infty,1)U(1,2]

Step-by-step explanation:

Notice that the quotient of f(x)/g(x) is:

h(x)=\frac{\sqrt{2-x} }{x-1}

therefore, this new function imposes conditions due to the fact that it has a square root in the numerator and a binomial in the denominator both with the variable x. Then, in order for the root in the numerator to be defined, the argument inside the root must be larger than or equal to zero. That is:

2-x\geq 0\\2\geq x\\x\leq 2

So, this condition must be satisfied by the x-values of the domain.

Then we have the binomial in the denominator, which in order to be defined needs to be different from zero. Notice that the only x-value that could cause problems (render zero) is:

x-1=0\\x=1

Then, x\neq 1

So we have to eliminate the number 1 from the previous subset that required x smaller than or equal to 2.

The way to represent this Domain is then:  (-\infty,1)U(1,2]

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