Answer:
The linear regression model is 
.
Step-by-step explanation:
The given data points are (-6 4) (-4 0) (-3 -2) (-1 -7). Plot these points on a coordinate plane.
From the graph it is clear that the point are in the form of a straight line, so we need to use the linear regression model.
The general linear regression model is
Using technology we get
Put a=-2.19 and b=-8.92 in the above equation.
Therefore the linear regression model is .
The height at time t is
h(t) = 144 - 16t²
When t = 0, then h = 144.
Therefore the height from the ground is 144 when the object is dropped.
When the object reaches the ground, h = 0.
Therefore
144 - 16t² = 0
t² = 144/16 = 9
t = 3 s
Answer:
The object reaches the ground in 3 seconds.
The answer is C.(-2,3)<span />
Answer: Law of Detachment
Step-by-step explanation:
1) If you swim (p), you must use earplugs (q)
2) Roy swims (p)
3) Roy must use earbuds (q)
Answer:
y = (-8/9)x + 0.77777
Step-by-step explanation:
We already know the slope, so the only thing left to find is the y-intercept.
To find the y-intercept, we can <u>plug in the slope and point to the slope-intercept form equation</u> (y = mx+b, where m=slope and b=y-int.)
y = m * x + b
(7) = (-8/9)*(-7) + b
<u>Now, just solve for b!</u>
(7) = (-8/9)*(-7) + b
7 = 56/9 + b
7 - (56/9) = b
b = 0.777777 (repeating decimal, usually signified by a little line above the 7)
so now we just <u>plug in the slope and y-intercept we found into y = mx + b.</u>
y = mx + b
y = (-8/9)x + 0.77777
