Rationalizing the denominator, simply means "getting rid of that pesky root at the bottom", and we do so by simply multiplying it by something to take it out, of course, we multiply the bottom, we have to also multiply the top,
Find the values of x for which the combined function h(x) = is undefined if f(x) = 5x + 1 and g(x) = x2 - 9.
1 answer:
We need to know the definition of the "combined function" h(x). I'm going to guess--by looking at answers--that the function is 
making it
This function is undefined wherever the denominator is equal to 0 (division by zero is undefined). Factor the denominator.
The two values of x that make the denominator 0 are 3 and -3, otherwise written
.
This function is undefined wherever the denominator is equal to 0 (division by zero is undefined). Factor the denominator.
The two values of x that make the denominator 0 are 3 and -3, otherwise written
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Answer:
a)
b)
c) n=62
d) n=138
Step-by-step explanation:
Note: "Each chip contains n transistors"
a) A chip needs all n transistor working to function correctly. If p is the probability that a transistor is working ok, then:
b) The memory module works with when even one of the chips is defective. It means it works either if 8 chips or 9 chips are ok. The probability of the chips failing is independent of each other.
We can calculate this as a binomial distribution problem, with n=9 and k≥8:
c)
This equation was solved graphically and the result is that the maximum number of chips to have a reliability of the memory module equal or bigger than 0.9 is 62 transistors per chip. See picture attached.
d) If the memoty module tolerates 2 defective chips:
We again calculate numerically and graphically and determine that the maximum number of transistor per chip in this conditions is n=138. See graph attached.
