A researcher surveyed 8 people to see if there is a
2 answers:
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The slope of this graph is - 4
Step-by-step explanation:
The slope of a line is , where
and
are two points on the line
- The slope of a horizontal line is zero
- The slope of a vertical line is undefined
∵ The graph is a line
∵ The line passes through points (1 , -2) and (0 , 2)
∴ = 1 and
= 0
∴ = -2 and
= 2
- Substitute these values in the rule below
∵
∴
∴ m = - 4
The slope of this graph is - 4
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Answer:
The speeds of the cars is: 0.625 miles/minute
Step-by-step explanation:
We use systems of equations in two variables to solve this problem.
Recall that the definition of speed (v) is the quotient of the distance traveled divided the time it took : . Notice as well that the speed of both cars is the same, but their times are different because they covered different distances. So if we find the distances they covered, we can easily find what their speed was.
Writing the velocity equation for car A (which reached its destination in 24 minutes) is:
Now we write a similar equation for car B which travels 5 miles further than car A and does it in 32 minutes:
Now we solve for in this last equation and make the substitution in the equation for car A:
So this is the speed of both cars: 0.625 miles/minute