Answer:
Average rate of change is <u>0.80.</u>
Step-by-step explanation:
Given:
The two points given are (5, 6) and (15, 14).
Average rate of change is the ratio of the overall change in 'y' and overall change in 'x'. If the overall change in 'y' is positive with 'x', then average rate of change is also positive and vice-versa.
The average rate of change for two points 
is given as:
Plug in 
and solve for 'R'. This gives,
Therefore, the average rate of change for the points (5, 6) and (15, 14) is 0.80.
No, it is not a valid inference because her classmates do not make up a random sample of the students in the school.
for all 
in [-3, 0], so 
is non-decreasing over this interval, and in particular we know right away that its minimum value must occur at 
.
From the plot, it's clear that on [-3, 0] we have 
. So
for some constant 
. Given that 
, we find that
so that on [-3, 0] we have
and
He would need to exercise for approximately 14 minutes to get to 120 bpm
Answer: x=20
Step-by-step explanation:
63-x=2x+3
-x-2x+63=3
-x-2x=3-63
-3x=3-63
-3x=-60
-3x/3=-60/3
X=20
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