Answer:
Area = 21 unit²
Step-by-step explanation:
We have one point of triangle = (0,0)
The other points can be solved, intersection means
−3x²+20 = x²−16
4x² = 36
x² = 9
x = ±3
when x = 3, y = 3²−16 = 9 -16 = -7 , point is (3,-7)
when x = -3, y = (-3)²−16 = 9 -16 = -7 , point is (-3,-7)
We need to find area of triangle with points (0,0), (3,-7) and (-3,-7).
Area of triangle is given by
Area = 21 unit²
The exponential functions change is represented by decay and the percentage rate of decrease is 1.00619%.
Step-by-step explanation:
Step 1:
To determine if the function represents growth or decay, we substitute values to x.
If the values increase with an increase of x, it represents growth.
If the values decrease with an increase of x, it represents decay.
Step 2:
If
If
So as x increases the value of y decreases, so it represents decay.
Step 3:
The percentage rate of change is determined by dividing the difference of two consecutive values by the first value.
The percentage rate of change
Substituting the values, we get
The percentage rate of change .
As the values of y decrease with an increase in x, it is the percent decrease per unit.