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

A) (√p -q^2) • 2 + 3

B) (√p -q^2) • (2 + 3)

C)√p - q^2 • (2 + 3)

D) √p - q^2 • 2 + 3

1 answer

To find which expression has a value of -40 when p = 25 and q = 3, we can substitute the values into each expression and see which one results in -40.

A) (√p -q^2) • 2 + 3 = (√25 - 3^2) • 2 + 3 = (5 - 9) • 2 + 3 = -4 • 2 + 3 = -8 + 3 = -5 (not -40)

B) (√p -q^2) • (2 + 3) = (√25 - 3^2) • (2 + 3) = (5 - 9) • (2 + 3) = -4 • 5 = -20 (not -40)

C) √p - q^2 • (2 + 3) = √25 - 3^2 • (2 + 3) = 5 - 9 • (2 + 3) = 5 - 9 • 5 = 5 - 45 = -40 (correct)

D) √p - q^2 • 2 + 3 = √25 - 3^2 • 2 + 3 = 5 - 9 • 2 + 3 = 5 - 18 + 3 = -10 (not -40)

Therefore, the correct expression is C) √p - q^2 • (2 + 3).
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