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What is the value of P when x is equal to 0 in the expression Px = -0.005(x + 40)(x - 20)(x - 200)(x + 5)?

A) 0.0
B) -0.05
C) -0.5
D) -5.0

1 Answer

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Final Answer:

when x is substituted with 0 in the expression, all the other terms become 0, leaving only the constant term of -0.5. Thus , the correct answer is option C) -0.5.

Step-by-step explanation:

The value of P when x is equal to 0 in the given expression Px = -0.005(x + 40)(x - 20)(x - 200)(x + 5) is -0.5. When substituting x with 0, all the terms with x contribute to zero except for the constant term -0.005(-40)(-20)(-200)(5), simplifying to -0.5.

In detail, when x is replaced by 0, each factor in the expression becomes 0 except for the constant term. The expression simplifies to -0.005(40)(-20)(-200)(5), which is equal to -0.5.

Therefore, the correct answer is C) -0.5, representing the value of P when x is 0 in the given expression.

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