Find where the equation is undefined ( when the denominator is equal to 0.
Since they say x = 5, replace x in the equation see which ones equal o:
5-5 = 0
So we know the denominator has to be (x-5), this now narrows it down to the first two answers.
To find the horizontal asymptote, we need to look at an equation for a rational function: R(x) = ax^n / bx^m, where n is the degree of the numerator and m is the degree of the denominator.
In the equations given neither the numerator or denominators have an exponent ( neither are raised to a power)
so the degrees would be equal.
Since they are equal the horizontal asymptote is the y-intercept, which is given as -2.
This makes the first choice the correct answer.
Hello there.^••^
−7w+8(w+1)=w−7
w+8=w−7
w+8−w=w−7−w8=−7
8−8=−7−80=−15
No solutions.
<h3>
Answer: Mean = 218.9.</h3><h3>Median = 229</h3><h3>Mode = Zero mode.</h3>
Step-by-step explanation:
Given blood cholesterol level was measured for each of 8 adults (in mg/dL) are:
264, 191, 160, 148, 262, 212, 268, 246
In order to find the mean, we need to add all those 8 numbers and divide by 8.
Therefore, mean = 
<h3>Mean = 218.9.</h3>
In order to find the median, we need to arrange them in ascending order:
148, 160, 191, 212, 246, 262, 264, 268.
The middle most two values are 212 and 246.
Therefore, median = 
<h3>Median = 229.</h3>
<h3>Therefore, Mode = Zero mode.</h3>
Answer:
3171 × 10^(44) years
Step-by-step explanation:
For each bit, since we are looking how many years of running it is unavoidable that the device produces an output for the second time, the possible integers are from 0 to 9. This is 10 possible integers for each bit.
Thus, total number of possible 64 bit integers = 10^(64) integers
Now, we are told that the device produces random integers at a rate of one billion per second (10^(9) billion per second)
Let's calculate how many it can produce in a year.
1 year = 365 × 24 × 60 × 60 seconds = 31,536,000 seconds
Thus, per year it will produce;
(10^(9) billion per second) × 31,536,000 seconds = 3.1536 × 10^(16)
Thus;
Number of years of running is it unavoidable that the device produces an output for the second time is;
(10^(64))/(3.1536 × 10^(16)) = 3171 × 10^(44) years
