Question 22 Answer and Explanation _ACT OG3 Form 3MC Math Section

Question 22 Answer and Explanation _ACT OG3 Form 3MC Math Section

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22. By definition, the determinant $\begin{aligned}\begin{vmatrix} a & b \\ c & d \end{vmatrix}\end{aligned}$ equals ad - bc. What is the value of $\begin{aligned}\begin{vmatrix} 2x & 3y \\ 5x & 4y \end{vmatrix}\end{aligned}$ when x = -3 and y = 2 ?

F. -138

G. -42

H. 12

J. 42

K. 138

Answer and Explanation

Your Answer is

Correct Answer is J

Explanation

Substitute x=-3, y=2 to get -6×8+6×15=42