The x-intercept of p(x) is x = 2, the x-intercept of g(x) is x = 0, then the correct option is B.
<h3>
What can we say about the x-intercepts of the given functions?</h3>
For a function f(x), the x-intercept is the value of x such that:
f(x) = 0.
Here we have:
p(x) = log₂(x - 1)
Remember that:
logₙ(1) = 0
For any base n, then the x-intercept of p(x) is x = 2, because:
p(2) = log₂(2 - 1) = log₂(1) = 0.
The other function is:
g(x) = 2ˣ - 1
Remember that any number to the power of zero is equal to 1, then:
g(0) = 2⁰ - 1 = 1 - 1 = 0
The x-intercept of p(x) is x = 2, the x-intercept of g(x) is x = 0, then the correct option is B.
If you want to learn more about x-intercepts:
brainly.com/question/3951754
#SPJ1
Answer:
207.72 seconds.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean
and standard deviation
, the z-score of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean waiting time of 138.5 seconds, standard deviation of 29 seconds.
This means that 
The length of time the owner should choose so that only 0.75% of customers get a free Frosty i.e. only 0.75% wait longer than
The 100 - 0.75 = 99.15th percentile, which is X when Z has a pvalue of 0.9915, so X when Z = 2.387.




So the answer is 207.72 seconds.
Answer:
Option D - 
Step-by-step explanation:
Given : During the peak holiday season, a department store gift wrapper is expected to wrap a small gift box in 4 minutes.
To find : Which proportion could you use to find how many gifts can be wrapped at the same rate in 5 hours?
Solution :
We have given that,
In 4 minutes we wrap 1 box.
Let x be the number of gift wrap in 5 hours.
Convert 5 hours into minutes,
1 hour = 60 minute
5 hour =
minute
i.e. In 300 minute we wrap x box.
The proportion defined the same rate is given by,

When we solve the proportion,


Therefore, Option D is correct.
so for this equation, I would do 7/8 = 72/x
1 72
- = -
8 x
Cross multiply to get 72 * 8 = 1x
solve for X 576 = x