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Which choice is equivalent to the product below when x>0 ?

Which choice is equivalent to the product below when x>0 ?-example-1

2 Answers

3 votes

Final answer:

When x > 0, the equivalent product is 0.25 * (0.25 + x).

Step-by-step explanation:

When calculating a product, we can simplify the expression by substituting a small value in place of the variable. In this case, the expression is (0.25 - x)(0.25 + x). Since x is small relative to 0.25, we can replace (0.25 - x) with 0.25. Simplifying the expression gives us 0.25 * (0.25 + x).

So, the choice is equivalent to the given product when x > 0 is 0.25 * (0.25 + x).

User Airah
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6 votes

Answer: x/3 ==> C

Step-by-step explanation:

(2x/3)^1/2 * (x/6)^1/2=

(2x/3 * x/6)^1/2=

(2x^2/18)^1/2=

(2x^2)^1/2 / 18^1/2=

(2x^2)^1/2 / (2*9)^1/2=

(2x^2)^1/2 / 3*2^1/2=

2^1/2 * (2x^2)^1/2 / 3*2=

(2(2x^2))^1/2 / 6=

(4x^2)^1/2 / 6=

4^1/2 * (x^2)^1/2 / 6=

2x/6=x/3 ==> C

User Alex Orlov
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4.0k points