The exponential function which has the greatest average rate of change over the interval [0, 2] is option B.
<h3>How to calculate the average rate of change?</h3>
Mathematically, the average rate of change between two (2) points can be calculated by using this expression;

For option A, we have:
when x = 0; when x = 2;
y = 3(1.6)^x y = 3(1.6)^x
y = 3(1.6)^0 y = 3(1.6)^2
y = 3. y = 7.68
ΔA = (7.68 - 3)/(2 -0) = 2.34.
For option B, we have:
ΔA = (9 - 4)/(2 -0) = 2.5.
For option C, the exponential function has a common ratio of 2.
ΔA = 2.
For option D, we have:
ΔA = (10 - 8)/(1 -0) = 2.
In conclusion, we can logically deduce that the exponential function which has the greatest average rate of change over the interval [0, 2] is option B i.e 2.5.
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Answer: The coefficient of terms is 2 represents length of 2 equal and opposite sides of rectangle.
Step-by-step explanation:
A rectangle is a 4 sides closed quadrilateral where opposite sides are equal .
So , length of one pair of opposite is represented by 'l' [l= length]
Such that sum of these two sides = l+l=2l
The other pair of opposite sides s represented by 'w' [w= width]
Such that sum of these two sides = w+w=2w
Perimeter is the sum of sides.
So, perimeter of rectangle = 2l+2w.
The coefficient of terms is 2 represents length of 2 equal and opposite sides of rectangle.
Answer:
The correct answer is: " x > 2 " .
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Step-by-step explanation:
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Given the inequality:
" 6x > 12 " ;
Solve in terms of "x" :
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Divide each side of the inequality by "6" ;
to isolate "x" on one side of the inequation; & to solve in terms of "x" ;
→ " 6x / 6 > 12 / 6 " ;
to get:
→ " x > 2 " .
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Hope this is helpful to you.
Best wishes to you in your academic pursuits
— and within the "Brainly" community!
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The answer to a multiplication problem is called a product