Question

What are the values of the variables a, k, d, and c in the equation -2√(x-3) + 4?

A. a = -2, k = x, d = -3, c = 4
B. a = -2, k = 3, d = x, c = 4
C. a = -2, k = 4, d = x, c = -3

Answer 1

The values of the variables a, k, d, and c in the equation -2√(x-3) + 4 are a = -2, k = 1, d = -3, and c = 4. Option A with the correction of k = 1 is the right answer because it correctly assigns the constants to their respective components in the square root expression.

Step-by-step explanation:

The values of the variables a, k, d, and c in the equation -2√(x-3) + 4 are identified by comparing the equation to a general form. The equation resembles the form a√(kx + d) + c, where 'a' is the coefficient of the square root, 'k' is the multiplier of the variable inside the square root, 'd' is the constant term inside the square root, and 'c' is the constant term outside the square root.

Matching terms, we find that:

• a is -2, because it's the coefficient multiplying the radical.
• k is 1 (it's not written but assumed), as the variable 'x' has no coefficient inside the square root.
• d is -3, as it's the constant inside the square root with 'x'.
• c is 4, being the constant added to the entire expression.

Therefore, the correct answer is A. a = -2, k = 1, d = -3, c = 4.