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Explain why the values of the exponential expression 3X eventually overtake the values the quadratic expression 10 X to the second power

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Final answer:

Exponential growth is faster than quadratic growth, leading to the values of the exponential expression 3X eventually overtaking the values of the quadratic expression 10 X^2.

Step-by-step explanation:

The values of the exponential expression 3X eventually overtake the values of the quadratic expression 10 X to the second power because exponential growth is faster than quadratic growth.

Exponential growth occurs when the value of the base is greater than 1, resulting in an increasing rate of growth. In the case of 3X, as X increases, the value of the expression grows rapidly.

In contrast, quadratic growth occurs when the exponent is 2, which leads to a slower rate of growth compared to exponential growth. As X increases, the value of 10 X to the second power increases, but at a slower pace compared to exponential growth.

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