Answer:
g(x) = 
Step-by-step explanation:
f(x) = 3x + 5
f[g(x)] = 3[g(x)] + 5
⇒ 3[g(x)] + 5 = x + 4
⇒ 3[g(x)] = x + 4 - 5
⇒ 3[g(x)] = x - 1
⇒ g(x) =
Answer:
D. 
Step-by-step explanation:
Hello!
We can group the first two terms and the last two terms.
<h3>Factor by Grouping</h3>
Factoring by grouping is the process of breaking down larger polynomials to smaller ones to factor. We can then combine like factors.
In the second step, we can see that we can rewrite 
as 
, as both the two terms share a common factor of 
. We can pull out from that expression. Similarly, 
and 
share a common factor of , so we can pull that out.
Mean is the same as the average
median is the middle number
mode is the number that is used most often
range is the highest number minus the lowest number
example :
2,3,3,5,7
u find the mean by adding up all the numbers, then dividing by how many numbers there are. (2 + 3 + 3 + 5 + 7) / 5 = 20/5 = 4 (the mean)
the median would be the middle number, and that would be 3
the mode would be the number that appears the most..that would be 3 because it appears twice.
the range is the highest - lowest : 7 - 2 = 5 (the range)...bur dont get this confused by the interquartile range..it is not the same as the range.
Answer:
Remembering the properties of numbers is important because you use them consistently in pre-calculus. The properties aren't often used by name in pre-calculus, but you're supposed to know when you need to utilize them.
Using confidence interval concepts, it is found that the interval estimate is (0.274, 0.364), and it means that we are x% sure(considering the confidence level) that the proportion of all voters in the city that plan to vote for the Democratic candidate is between these two values.
<h3>What is a confidence interval?</h3>
It is given by the <u>sample proportion plus/minus the margin of error</u>, and a x% confidence interval means that we are x% sure the population proportion is in the interval.
134 of 420 randomly chosen likely voters indicated that they planned to vote for the Democratic candidate, hence:
p = 134/420 = 0.319
The margin of error for the statistic is 0.045, hence:
0.319 - 0.045 = 0.274
0.319 + 0.045 = 0.364
The interval estimate is (0.274, 0.364), and it means that we are x% sure(considering the confidence level) that the proportion of all voters in the city that plan to vote for the Democratic candidate is between these two values.
More can be learned about confidence interval concepts at brainly.com/question/25890103
