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xenn [34]
3 years ago
8

A worker at an orchard measures the mass of different numbers of apples. The scatter plot below shows the relationship between t

he mass, in kilograms, and the number of apples.
What is the slope of the line of best fit? Express your answer as a decimal and round to the nearest hundredth.

Mathematics
1 answer:
djverab [1.8K]3 years ago
4 0
To evaluate for the slope we use the formula:
slope,m=(y₁-y)/(x₁-x)
thus selecting 2 points from the graph where the line cuts, (0,0) and (5, 0.6)
thus plugging the values in the formula and simplifying we obtain:
m=(0.6-0)/(5-0)
m=0.6/5
m=0.12
hence the slope of the line of best fit is m=0.12
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Answer:

1) Zero based on (-16·t - 2) is t = -1/8 second

2) Zero based on (t - 1) is t = 1 second

Step-by-step explanation:

The given functions representing the height of the beach ball the child throws as a function of time are;

y = (-16·t - 2)·(t - 1) and y = -16·t² + 14·t + 2

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Therefore, the function representing the height of the beachball, 'y', is y = (-16·t - 2)·(t - 1) = -16·t² + 14·t + 2

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In the function of the question, we have;

y = (-16·t - 2)·(t - 1) = -16·t² + 14·t + 2

The above equation can be written as follows;

y = (-16·t - 2) × (t - 1)

Therefore, 'y' equals zero when either (-16·t - 2) = 0 or (t - 1) = 0

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(-16·t - 2) = 0

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