The function f(t) = 7800(0.9925) ốo represents the change in a quantity over t seconds. What does the constant 0.9925 reveal about
the rate of change of the quantity?

The rate of change of the function reduces

Step-by-step explanation:

Given

Required

What does 0.9925 imply

An exponential function is represented as:

Where b is the rate of change

By comparison:

When b < 1, it implies that the rate of change of the function reduces

So:

The value 0.9925 implies that as t increases, f(t) reduces

- 2 + 10x³ - 21x² + 19x - 4

step-by-step explanation:

each term in the second factor is multiplied by each term in the first factor

x²(- 2x² + 4x - 1) - 3x(- 2x² + 4x - 1) + 4(- 2x² + 4x - 1) ← distribute

= - 2 + 4x³ - x² + 6x³ - 12x² + 3x -8x² + 16x - 4

collect like terms

= - 2 + 10x³ - 21x² + 19x - 4 ← in standard form

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step-by-step explanation: