5/6 of the students completed homework last night, but only 3/4 of those students did their work correctly. How many students di
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The scatter plot shows the association between the ordered pairs
The two ordered pairs that can be joined to best draw the line of best fit for this scatter plot are (0, 13) and (10, 0)
<h3>How to determine the two best ordered pairs?</h3>To draw the line of best fit, the line must pass through at least two points such that the number of points on either sides of the line must be equal
See attachment for illustration
From the attached image of the graph, we can see that the line passes through the points (0, 13) and (10, 0), and there are 4 points on either sides
Hence, the two ordered pairs are (0, 13) and (10, 0)
Read more about scatter plots at:
Answer:
- 2 seconds
- 72 feet
Step-by-step explanation:
The usual equation used for the vertical component of ballistic motion is ...
h(t) = -16t² +v₀t +h₀
where v₀ is the initial upward velocity, and h₀ is the initial height. Units of distance are feet, and units of time are seconds.
Your problem statement gives ...
v₀ = 64 ft/s
h₀ = 8 ft
so the equation of height is ...
h(t) = -16t² +64t +8
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For quadratic ax² +bx +c, the axis of symmetry is x=-b/(2a). Then the axis of symmetry of the height equation is ...
t = -64/(2(-16)) = 2
The object will reach its maximum height after 2 seconds.
The height at that time will be ...
h(2) = -16(2²) +64(2) +8 = 72
The maximum height will be 72 feet.
