Here are the answers to the practice questions based on the information provided:
Question 1:
x - intercept: (-5, 0)
y - intercept: (0, -1)
Question 2:
x - intercept: (-4, 0)
y - intercept: (0, -3)
Question 3:
Answer: True or False (without a graph, I cannot determine)
Question 4:
Answer: True or False (without a graph, I cannot determine)
Question 5:
Equation: y = -3x - 17
Question 6:
Equation: y = -1/2x + 5
Question 7:
Equation: y = 4/3x - 2
Question 8:
Equation: y = -4
Question 9:
Equation: 5x + 8y = 480
Question 10:
To find out how many children's tickets were sold if 20 adult tickets were sold:
- 20 adult tickets = 20 * 8 = $160
- Remaining money for children's tickets = 480 - 160 = $320
- Number of children's tickets = 320 / 5 = 64 children's tickets.
Answer: 64 children's tickets
Question 11:
Equation (point slope form): y - 500 = 75(x - 6)
Question 12:
To find how many adult tickets were sold if 16 children's tickets were sold:
- 16 children's tickets = 16 * 5 = $80
- Remaining money for adult tickets = 480 - 80 = $400
- Number of adult tickets = 400 / 8 = 50 adult tickets.
Answer: 50 adult tickets
Question 13:
Total earnings if 22 units are sold: 38,000 + (22 * 500) = 38,000 + 11,000 = $49,000
Answer: $49,000
Question 14:
To earn an additional $7,500 on top of the base salary:
- Commission needed = $7,500
- Number of systems to sell = 7,500 / 500 = 15 air conditioners.
Answer: 15 air conditioners
Question 15:
To find the slope in slope-intercept form (y = mx + b): From 6x - 2y = -14 Rearranging gives us: -2y = -6x - 14, so y = 3x + 7. Slope (m): 3
Answer: m = 3
Question 16:
From y = 3x + 7, the y-intercept (b) is 7.
Answer: 7
Question 17:
Answer: True or False (without a graph, I cannot determine)
Question 18:
Equation that matches the graph: x - y = 1
Question 19:
Rearranging 4x + 2y = -8 to find slope: 2y = -4x - 8 → y = -2x - 4 Slope (m): -2
Answer: m = -2
Question 20:
Equation that matches the graph: y = x + 4
Question 21:
To find the y-intercept of 9x - 5y = -45: When x = 0, -5y = -45, thus y = 9.
Answer: y = 9
Question 22:
Equation that matches the graph: y = -2x + 5
Question 23:
To find the y-intercept of -4x + 5y = -20: When x = 0, 5y = -20, thus y = -4.
Answer: y = -4
Question 24:
Range: [-4, -1]
Question 25:
Domain: All negative numbers
Question 26:
Range: {-6, -5, -2, 3, 5}
Question 27:
Range: {-7, -1, 3, 5, 6}
Question 28:
Increasing lines: (choose based on graph, not provided)
Question 29:
Decreasing lines: (choose based on graph, not provided)
Question 30:
Increasing intervals: Always or
Decreasing intervals: Never
Question 31:
Increasing intervals: x > 2
Decreasing intervals: x < 2
Question 32:
Answer: (Identify based on graph)
Question 33:
Which panda was heavier? (not provided)
Question 34:
Which panda is growing faster? (not provided)
Question 35:
Decreasing functions: (choose based on context or graph)
Question 36:
Based on the equations, which function has a greater y-intercept? (not provided)
Note: For questions regarding graphs (3, 4, 17, 18, 20, 32, 33, 34), I cannot provide specific answers without seeing the graphs referred to. Additionally, the answers for questions 28, 29, 30, 31, 35, and 36 are heavily dependent on the visual representations, which are not available. Please refer back to the specific graphs and functions to answer those items accurately.