Tavia volunteered to work at the City Library for 22 days in the summer. During this time she checked out a total of 4,686 books
1 answer:
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A) Rate: 5 lawns per day
B) Slope: 5 lawns per day
Step-by-step explanation:
A)
For this graph, we want to find the following ration:
where
- change in lawns moved is the change in the variable along the y-axis, since the lawns moved is represented on the y-axis
- change in time is the change in the variable along the x-axis, since time is represented along the x-axis
By taking the last point in the graph (6,30) and the point (0,0), to have the most accurate measurement, we have:
t = 6 days
lawns moved = 30
Therefore, the rate is
lawns per day
B)
Here in graph B, similarly we want to find the slope of the curve, which is given by
where
is the change in the y-variable
is the change in the x-variable
Taking the last point in the graph (6,30) and the point (0,0), in order to get the most accurate measurement, we have:
Therefore the slope is
lawns per day
Learn more about slope of a graph:
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Answer:
a = 3, b = 5
Step-by-step explanation:
Given
x² - 6x + 4 = 0 ( subtract 4 from both sides )
x² - 6x = - 4
Using the method of completing the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(- 3)x + 9 = - 4 + 9
(x - 3)² = 5 ( take the square root of both sides )
x - 3 = ± ( add 3 to both sides )
x = 3 ± ← in the form a ±
with a = 3 and b = 5