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Which C++ statement evaluates the formula below? Assume the following declaration statement: double a, x, w;

A) w = sqrt(a) / (x + 1);
B) w = a / sqrt(x + 1);
C) w = sqrt(a / (x + 1));
D) w = a / (x + 1);

1 Answer

5 votes

Final answer:

The correct C++ statement to evaluate the given mathematical expression with the declaration statement 'double a, x, w;' is not explicitly clear without the specific formula, but if assuming a formula with a square root affecting the denominator, the statement B) w = a / sqrt(x + 1); seems most appropriate.

Step-by-step explanation:

To evaluate the formula that calculates the value of w given the declaration statement for the variables double a, x, w;, we need to correctly apply the square root operation and follow the order of operations to respect the given mathematical expression. In the choices provided:

  • A) w = sqrt(a) / (x + 1);
  • B) w = a / sqrt(x + 1);
  • C) w = sqrt(a / (x + 1));
  • D) w = a / (x + 1);

Given the context provided, it is not clear which specific formula is being referred to; however, based on common algebraic expressions and assuming that the square root applies to the numerator 'a' only, and considering a formula with an addition in the denominator, the option that seems to match a standard calculation is:

B) w = a / sqrt(x + 1);

This option divides 'a' by the square root of ('x' plus 1), which is a common way to apply the square root in an equation with these variables.

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