Answer: B. (-2, 24)
Step-by-step explanation:
First, you need to multiply the vectors by the scalars. To do this, you simply multiply the scalar by each component of the vector:
[tex]4(3, 5)-2(7, -2)=(12, 20)+(-14, 4)[/tex]
And then you add the vectors by adding the corresponding components:
[tex](12, 20)+(-14, 4)=(12-14, 20+4)=(-2, 24)[/tex]
So the answer is option B.
