Q:

Substitute w=1 and w=3 to determine if the two expressions are equivalent. 4(3w+4) 16w+12 Which statements are true? Check all that apply. A: The value of both expressions when w=1 is 28. B: The two expressions are equivalent. C: The value of both expressions when w=1 is 16. D: The two expressions are not equivalent. E: The value of both expressions when w=3 is 52. F: The value of both expressions when w=3 is 60.

Accepted Solution

A:
Answer:A: The value of both expressions when w=1 is 28. D: The two expressions are not equivalent. Step-by-step explanation:Given expressions are:4(3w+4)and16w+12For w=1First Expression:4(3w+4)= 4[3(1)+4]=4(3+4)=4(7)=28Second expression:16w+12= 16(1)+12=16+12=28For w=3First Expression:4(3w+4)= 4[3(3)+4]=4(9+4)=4(13)=52Second expression:16w+12= 16(3)+12=48+12=60Now looking at the statements:A: The value of both expressions when w=1 is 28. The statement is true because our calculated values of both expressions are 28 for w=1.B: The two expressions are equivalent. The two expressions are not equivalent because their values at w=3 are not same.C: The value of both expressions when w=1 is 16. The value of both expression when w=1 is 28 so this statement is not correctD: The two expressions are not equivalent. We can see by comparing the values that both expressions are not equivalent.E: The value of both expressions when w=3 is 52. F: The value of both expressions when w=3 is 60.Both statements are false because both expressions have different values at w=3 ..