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1 answer:
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Given:
The exponential equations in the options.
To find:
The equation which represents exponential decay.
Solution:
The general exponential equation is
where, a is initial value and b is growth rate.
If b<1, then it is an equation of exponential decay.
If b>1, then it is an equation of exponential growth.
In option A, b=31>1, i.e., exponential growth.
In option B, b=3.1>1, i.e., exponential growth.
In option C, b=0.13<1, i.e., exponential decay.
In option D, b=1.03>1, i.e., exponential growth.
Only represents exponential decay.
Therefore, the correct option is C.
Answer:
No solution
Option 4 is correct
Step-by-step explanation:
Given: The system of inequality
We need to choose correct option.
Option 1: (-5,2)
Put x=-5 and y=2
Equation 1 Equation 2
TRUE FALSE
Option 2: (2,2)
Put x=2 and y=2
Equation 1 Equation 2
FALSE FALSE
Option 3: (5,2)
Put x=-5 and y=2
Equation 1 Equation 2
FALSE TRUE
Option 1, 2 and 3 are incorrect because both equation must be true for solution.
Hence, Option 4 is correct no solution.