x < -3 or x > 1
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Work Shown:
Solve the first inequality for x
3x+2 < -7
3x < -7-2 .... subtract 2 from both sides
3x < -9
x < -9/3 .... divide both sides by 3
x < -3
Do the same for the second inequality
-4x+5 < 1
-4x < 1-5
-4x < -4
x > -4/(-4) .... note the inequality sign flips
x > 1
So either x < -3 or x > 1. This points to choice A as the answer.
Then, the smallest angle is 2(17) - 1 = 33°
B. 4916 to 4924 voters
C. 4440 to 5400 voters
D. 4680 to 5160 voters
Answer:b will be the answer
Step-by-step explanatio
*100% CORRECT ANSWERS
Question 1
Identify the following data set:
...In a study about all of the runners in the Peachtree Road Race last year, the first 10 and the last 50 runners to finish were asked what type of shoe they preferred for the race.
Sample
Question 2
Identify the following NUMERICAL values:
...the average number of years of experience a teacher has at GCA out of ALL the teachers at GCA.
Parameter
Question 3
Which type of sampling method is being employed in the following example:
"A study is being conducted at a ride at six flags, where every 5th person is asked how long had to wait in line."
Systematic Sampling
Question 4
Which type of sampling method is being employed in the following example:
"A newspaper reporter wants to know what the people of Georgia think about the latest trades the Braves baseball team have made for an article but is running late. So, the reporter decides to just ask people at the news office what they think to provide a sample of the public's opinion in the article."
Sampling of Convenience
Question 5
Which type of study best describes the following research most likely to be done?
The bureau of Labor Statistics needs to determine the average hourly wage of teenage employees for the U.S.government.
Sampling
Question 6
Which type of study best describes the following research most likely to be done?
A researcher believes that headaches can be relived by drinking water flavored by mint leaves. So the researcher asks a group at the hospital to participate in a study in which the researcher gives half of the participants in the study just plain water and half the water flavored by mint leaves to compare the two groups.
Experimental
Question 7
A researcher believes that working out in colder temperatures will burn more calories because a person has to burn more calories to keep warm. The researcher decides to study various groups of people working out at different temperatures and measure their progress.
How would you describe the temperature in the study?
Independent Variable
To find the vertical asymptotic equations of the rational function, we must first find the points of intersection of the function with the x-axis. These points are the solutions of the equation f(x) = 0. We decompose the exponential function into the product of two expressions: f(x) = (x² + 9x)(x² - 2x - 15) Now we can set each of the expressions inside the parentheses equal to zero and solve the vertical asymptotic equations: x² + 9x = 0 or x² - 2x - 15 = 0 To solve the first equation, we can factor x out: x(x + 9) = 0 So the two vertical asymptote equations are x = 0 and x + 9 = 0 (that is, x = -9). To solve the second equation, we can use the analysis method or the quadratic formula. Using the analysis method, we can decompose the expression x² - 2x - 15 in the following form: (x - 5)(x + 3) = 0 Therefore, two vertical asymptote equations equal to x - 5 = 0 (that is, x = 5) and x + 3 = 0 (that is, x = -3). So the vertical asymptotic equations of the rational function f(x) = (x² + 9x)(x² - 2x - 15) are equal to x = 0, x = -9, x = 5 and x = -3.