9514 1404 393
Answer:
A: x = 2
B: x < 5
Step-by-step explanation:
<u>Part A</u>:
Substitute the given value and solve for x.
f(x) = 3(x +6)
24 = 3(x +6)
8 = x +6 . . . . . . divide by 3
2 = x . . . . . . . . . subtract 6
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<u>Part B</u>:
Eliminate parentheses, solve the 3-step inequality.
2(x -4) > 4x -18
2x -8 > 4x -18
-8 > 2x -18 . . . . . . . subtract 2x
10 > 2x . . . . . . . . . . add 18
5 > x . . . . . . . . . . . divide by 2
The solutions for x include any value less than 5.
Answer
112
Step-by-step explanation:
Answer:
Step-by-step explanation:
<h3>Given</h3>
<u>Quadratic function </u>
with the roots:
<h3>To find </h3>
<h3>Solution</h3>
<u>As we know the sum of the roots is -b/a and the product of the roots is c/a. Substituting values and solving for b and c:</u>
- (-5 + 9i) + (-5 - 9i) = -b/-1
- -10 = b
- b = -10
And
- (-5 + 9i)(-5 - 9i) = c/-1
- (-5)² - (9i)² = -c
- 25 - 81(-1) = -c
- - c = 25 + 81
- - c = 106
- c = -106
g(x) = -x² -10x - 106
Answer:
23 over 3 ok my dear friends
Answer:
Step-by-step explanation:
In statistics, whenever full population cannot be surveyed, a random sample can be taken and from the observations population behaviour can be estimated.
Here given that there are 200 members. Instead of collecting data from all 200, 20 members are randomly taken.
The sample mean x bar can be estimated to give an idea the population mean also.
ACcording to central value theorem, means of different samples will follow a distribution with mean = population mean and std deviation = std dev of sample/square root of n
Hence we fix confidence interval as Mean + or - Z critical * std error
This gives us an idea about within which means will lie for different samples and hence give an idea about population mean also.
