Question

Which expressions have a value of 49 when w = 4? Choose the correct answers and show your work.

A) 3w2+ 25

B) 7(w2- 9)

C) w3/8+ 41

Answer 1

Expressions B) and C) have a value of 49 when w = 4.

Step-by-step explanation:

To find the expressions that have a value of 49 when w = 4, we substitute the value of w into each expression and check if it equals 49.

A) 3w^2 + 25 = 3(4)^2 + 25 = 3(16) + 25 = 48 + 25 = 73 (not equal to 49)

B) 7(w^2 - 9) = 7(4^2 - 9) = 7(16 - 9) = 7(7) = 49 (equal to 49)

C) w^3/8 + 41 = 4^3/8 + 41 = 64/8 + 41 = 8 + 41 = 49 (equal to 49)

Therefore, expressions B) and C) have a value of 49 when w = 4.