Percent of change will always be positive because the change is an absolute value. As we know, absolute value is always a positive value because you don't pay attention to the direction, only the distance is important.
Answer:
.96
Step-by-step explanation:
The value of x in the algebraic equation is: -5/2.
<h3>How do you Find the Value of a Variable in an Algebraic Equation?</h3>
Given an algebraic equation, to find the unknown value of x, solve by isolating x in the equation.
Given:
4x + 26 = 16
Subtract 26 from both sides
4x = 16 - 26
4x = -10
Divide both sides by 4
x = -10/4
x = -5/2
Therefore, the value of x in the algebraic equation is: -5/2.
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Answer:
Rate of change = -1
Step-by-step explanation:
Given:
f(x) = -½(x + 2)² + 5
Required:
Average rate of change from x = -3 to x = 1
Solution:
Rate of change = 
Where,
a = -3,
f(a) = f(-3) = -½(-3 + 2)² + 5 = -½(-1)² + 5 = 4.5
b = 1,
f(b) = f(1) = -½(1 + 2)² + 5 = -½(9) + 5 = 0.5
Plug in the values into the formula:
Rate of change = 
Rate of change = 
Rate of change = -1
Answer:
-1
Step-by-step explanation:
