The graph shows the function f(x).
1 answer:
Answer:
Need the graph for final answer. Use the values of the graph to substitute into the slope formula and simplify.
Step-by-step explanation:
The average rate of change is the amount over an interval the outputs change in a ratio to the input change. In a linear function, this is constant and called slope. In all other function, it is called the average rate of change because the rate of change varies over the interval. We use the same formula for the average rate of change as we do slope. First we need both the input and output values of the function over the interval.
Slope:
Substitute the values for your function into the slope formula and simplify.
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Answer:
47 bpm
B
Step-by-step explanation:
Draw a trend line (attached).
Reading from the graph, the resting hear rate, in bpm, of a person who exercises an average of 8 hours a week is approximately 47.
The only scatter plot that suggests a linear relationship between x and y is graph B (see second attachment) as the trend line is a straight line.
Answer:
S₁₆ = 328
Step-by-step explanation:
the nth term of an arithmetic sequence is
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
given a₄ = 7 and a₇ = 16 , then
a₁ + 3d = 7 → (1)
a₁ + 6d = 16 → (2)
subtract (1) from (2) term by term to eliminate a₁
0 + 3d = 9
3d = 9 ( divide both sides by 3 )
d = 3
substitute d = 3 into (1) and solve for a₁
a₁ + 3(3) = 7
a₁ + 9 = 7 ( subtract 9 from both sides )
a₁ = - 2
the sum to n terms of an arithmetic sequence is
=
[ 2a₁ + (n - 1)d ]
with a₁ = - 2 and d = 3 , then
S₁₆ = [ (2 × - 2) + (15 × 3) ]
= 8(- 4 + 45)
= 8 × 41
= 328
Answer:
No you do not.
This is because we can use Pythagoras Theorem to show that our location sits outside the 15 mile radius of the cell tower.
To work is out you would write the equation
Then to work out the Hypotheses you would
Which proves that the location is outside of the 15 Mile radius of the cell tower.