The graph below plots a function f(x):
2 answers:
<h2>Answer:</h2>
If x represents time, the average rate of change of the function f(x) in the first three seconds is 40.
<h2>Step-by-step explanation:</h2>We know that the average rate of change which is also know as a slope of a function from x=a to x=b is calculated by the formula:
Here we are asked to find the average rate of change between x=0 to x=3 ( i.e. in the first three seconds)
It is calculated as follows:
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Answer:
1.5
Step-by-step explanation:
Note there is a common ratio between consecutive terms, that is
768 ÷ 1536 = 0.5
384 ÷ 768 = 0.5
192 ÷ 384 = 0.5
96 ÷ 192 = 0.5
This indicates that the terms form a geometric sequence with
= a
where a is the first term and r the common ratio
Here a = 1536 and r = 0.5, thus
= 1536 ×
= 1.5
Answer:
b = 5
Step-by-step explanation:
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = C(1, 3) and (x₂, y₂ ) = D(4, - 3)
m = =
= - 2, hence
y = - 2x + b ← is the partial equation of the line
To find b substitute either of the 2 points into the partial equation
Using (1, 3), then
3 = - 2 + b ⇒ b = 3 + 2 = 5