I just graphed the table next to the graph of g and compared the two.
The y-intercept of f is (0,8) and the y-intercept of g is (0, -2). So f is GREATER THAN the y-intercept of g.
Now to do the average rate of change, I see from the interval [-6,-3] that f is decreasing and for g it is increasing. Thus f is LESS THAN the average rate of change of g.
Answer:
It can be written as <span>f<span>(−8)</span></span> or <span>f<span>(3<span>(−2)</span>−2)</span></span>
Explanation:
You would substitute <span>−2</span> for the x in <span>3x−2</span> and then insert <span>3<span>(−2)</span>−2</span> for the g. You would end up with <span>f<span>(3<span>(−2)</span>−2)</span></span>, which can also be simplified to <span>f<span>(−8<span>)</span></span></span>
Answer:
the probability is 0.02 (2%)
Step-by-step explanation:
defining the event S= the message is spam , then the probability is
P(S) = probability that a randomly selected message comes from account #1 * probability that the message is spam given that the message is from account #1 + probability that a randomly selected message comes from account #2 * probability that the message is spam given that the message is from account #2 + probability that a randomly selected message comes from account #3 * probability that the message is spam given that the message is from account #3 = 0.6 * 0.01 + 0.3 * 0.03 + 0.1 * 0.05 = 0.02 (2%)
thus the probability is 0.02 (2%)
The answer that I got was y=105
Hope this helps!