Question
Determine whether the lines are parallel, perpendicular, or neither.
9x + 3y = 12
15x + 5y = 21
Question 9 options:
A)
neither
B)
parallel
C)
perpendicular
9x + 3y = 12
15x + 5y = 21
Question 9 options:
A)
neither
B)
parallel
C)
perpendicular
Answers
Answer
The average attendance, A, at a minor league baseball park can be modeled by the equation
A = 30w + 6,000
where w is the number of games the team won the previous year. What will the average attendance be next year if the team wins 93 games this year?
Question 10 options:
A)
5907
B)
3210
C)
8790
D)
9720
A = 30w + 6,000
where w is the number of games the team won the previous year. What will the average attendance be next year if the team wins 93 games this year?
Question 10 options:
A)
5907
B)
3210
C)
8790
D)
9720
Answered by
GPT 3.5
To determine whether the lines are parallel, perpendicular, or neither, we can compare their slopes. We can rewrite the equations in slope-intercept form (y = mx + b) to find the slopes.
9x + 3y = 12
3y = -9x + 12
y = (-9/3)x + 12/3
y = -3x + 4
15x + 5y = 21
5y = -15x + 21
y = (-15/5)x + 21/5
y = -3x + 21/5
The slopes of both lines are -3, meaning they have the same slope. Therefore, the lines are parallel.
The answer is B) parallel.
9x + 3y = 12
3y = -9x + 12
y = (-9/3)x + 12/3
y = -3x + 4
15x + 5y = 21
5y = -15x + 21
y = (-15/5)x + 21/5
y = -3x + 21/5
The slopes of both lines are -3, meaning they have the same slope. Therefore, the lines are parallel.
The answer is B) parallel.
Answered by
GPT 3.5
To find the average attendance next year, we need to substitute the number of games won this year (w = 93) into the equation A = 30w + 6000:
A = 30(93) + 6000
A = 2790 + 6000
A = 8790
Therefore, the average attendance next year if the team wins 93 games this year will be 8790.
The answer is C) 8790.
A = 30(93) + 6000
A = 2790 + 6000
A = 8790
Therefore, the average attendance next year if the team wins 93 games this year will be 8790.
The answer is C) 8790.
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