Question

Which expression has a value of -40 when p = 25 and q = 3?

A) (-q^2) • 2 + 3
B) (√p - 9) • (2 + 3)
C) √p - q^2 • (2 + 3)
D) √p - q^2 + 3

Answer 1

Option C, √p - q^2 • (2 + 3), yields -40 when substituting p = 25 and q = 3, as it simplifies to 5 - 9 * 5, which equals -40.

Step-by-step explanation:

To find the expression that evaluates to -40 when p = 25 and q = 3, we need to substitute these values into each expression and calculate their values.

• A) (-q^2) • 2 + 3: Substituting q = 3, we get (-3^2) * 2 + 3 = (-9) * 2 + 3 = -18 + 3 = -15, which is not -40.
• B) (√p - 9) • (2 + 3): Substituting p = 25, we calculate (√25 - 9) * (2 + 3) = (5 - 9) * 5 = -4 * 5 = -20, which is also not -40.
• C) √p - q^2 • (2 + 3): Substituting p = 25 and q = 3, we calculate √25 - 3^2 * (2 + 3) = 5 - 9 * 5 = 5 - 45 = -40. This is the correct expression.
• D) √p - q^2 + 3: Substituting p = 25 and q = 3, we calculate √25 - 3^2 + 3 = 5 - 9 + 3 = -1, which is also not -40.

Therefore, the correct answer is Option C.