A line passes through the points (–5, 2) and (10, –1). Which is the equation of the line?
2 answers:
You might be interested in
Answer:
Step-by-step explanation:
500m = profit on mid-sized cars
750s = profit on SUVs
500m + 750s = total profit
You have two conditions:
(1) 500m + 750s ≥ 3500
(2) m ≥ 2s
Let s = 2
Check condition (1)
500m + 750 × 2 ≥ 3500
500m + 1500 ≥ 3500
500m ≥ 2000
m ≥ 4
Check condition (2)
(2) m ≥ 2 × 2
m ≥ 4
Check:
500 × 4 + 750 × 2 ≥ 3500 4 ≥ 2 × 2
2000 + 1500 ≥ 3500 4 ≥ 4
3500 ≥ 3500
OK.
• The following formula can be used to find the slope of a line:
These points are on the line:
Given the following points:
Then, you can set up that:
Therefore, substituting values into the formula and evaluating, you get:
• As you can notice, the slope is negative. Therefore, you can determine that it is decreasing.
Therefore, the answers are:
• Slope of the line:
• It is decreasing.
Answer:
1370754
Step-by-step explanation:
From what I can see, you are probably studying combinations and permutations at the moment. Since this is a question about how many groups of five can be produced from a sample size of 46, the groups are random and not in order, which may rule for us to use the combination formula.
Once you compute this, this answer is basically saying that 1370754 groups of 5 can be created from a sample size of 46
