It looks like you've provided a series of questions and answers related to sequences, functions, and basic algebra. Here are the answers restated in a clear format with some explanations where applicable:
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Next three terms in the sequence –6, 5, 16, 27, ...
Answer: D. 36, 46, 57
Explanation: The pattern adds 11 (–6 + 11 = 5; 5 + 11 = 16; 16 + 11 = 27). Continuing this pattern: 27 + 11 = 36, 36 + 10 = 46, 46 + 11 = 57. -
Dahlia bulb growth over years
Answer: C. 768 bulbs
Explanation: The pattern follows multiplication by 2 (6 → 12 → 24 → 48). In the eighth year: 6 × 2^7 = 6 × 128 = 768 bulbs. -
First four terms of the sequence n(n – 1) – 5
Answer: D. –5, –3, 1, 7
Explanation: Plugging in values for n gives:- n = 1: (1 × 0) – 5 = –5
- n = 2: (2 × 1) – 5 = –3
- n = 3: (3 × 2) – 5 = 1
- n = 4: (4 × 3) – 5 = 7
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Car speed graph question
Answer: The correct graph shows acceleration, maintaining speed, then slowing to a stop. -
Remote-control car speed analysis
Answer: A. The speed of the car decreases from 4 mi/h to 2 mi/h in the first 3 seconds, increases to 5 mi/h in the next 2 seconds, and remains at 5 mi/h for the last 5 seconds. -
Function rule f(x) = x² – 5x + 1, find f(–3)
Answer: C. 25
Explanation: f(–3) = (–3)² – 5(-3) + 1 = 9 + 15 + 1 = 25. -
Mowing lawn earnings function
Answer: D. E(m) = 12m
Explanation: Earnings = $12 per mow. -
Slope from the table x=0,2,4,6; y=-5,-2,1,4
Answer: The slope is 3/2 (rise/run). -
Steepest hill in the table
Answer: C. Bell Hill; it rises 2 feet per 1 foot of travel, making it the steepest. -
Graph for linear function y = 1/5x – 2
Answer: The graph has a slope of 1/5 and a y-intercept at –2. -
Graph for linear function y = –2x + 3
Answer: The graph has a negative slope of –2 and a y-intercept of 3. -
Function rule for table data
Answer: B. y = 3 + 6x -
Mowing lawn pricing function for Max
Answer: C. y = 3.50x + 6.00
Explanation: $3.50 per hour plus a $6 transportation fee. -
Apple pricing function
Answer: A. y = 1.10(x – 1) + 1.35 -
Function rule from table
Answer: A. y = –3x – 8 -
Quadratic function rule from table
Answer: B. y = –x² + 5
These answers and explanations should provide a clear overview of the problems and their solutions. If you have any further questions or need clarification on any topic, feel free to ask!