Answer:
the average rate of change is 4.
Step-by-step explanation:
Find the average rate of change of f(x)=x^2 on the interval [1,3].
The average rate of change of f(x) on the interval [a,b] is f(b)−f(a)/b−a.
We have that a=1, b=3, f(x)=x^2.
Thus, f(b)−f(a)/b−a=((3))^2−(((1))^2)/3−(1) = 4.
Barry will use the distance formula:
d = √[(x₂ - x₁)² + (y₂ - y₁)²]
d = √[(4 - 3)² + (7 - 1)²]
d = 6.08 units
Answer:
See below.
Step-by-step explanation:
f(x) = -|x + 9|
compared to
f(x) = |x|
has a graph that opens downward in an upside down V shape.
It has been moved 9 units left compared to the graph of f(x) = |x|.
It reflects over the x-axis.
The answer is 120 degrees
Total number of $1 bills=7
Total number of $5 bills=8
Further explanation:
Given
Let x be the number of $1 bills
and
y be the number of $5 bills
Then according to the given statements
x+y=15
x+5y=47
From first equation:

Putting x=15-y in second equation

Putting y=8 in first equation

Hence,
Total number of $1 bills=7
Total number of $5 bills=8
Keywords: Linear equations, Substitution method
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