(2 points) Consider the linear system y⃗ ′=[−35−23]y⃗ . Find the eigenvalues and eigenvectors for the coefficient matrix. 1= , ⃗ 1= ⎡⎣⎢⎢⎢ ⎤⎦⎥⎥⎥ , and 2= , ⃗ 2= ⎡⎣⎢⎢⎢ ⎤⎦⎥⎥⎥ Find the real-valued solution to the initial value problem {y′1y′2==−3y1−2y2,5y1+3y2,y1(0)=9,y 2(0)=−10.

What value of x is in the solution set of –5x – 15 > 10 + 20x?

The lee family bought their home for $220,000 this year. the equation =220,000(1.038) v = 220 , 000 ( 1 . 038 ) x can be used to find the value, v, of their home after x years. which will be the value of the lee family's home in 5 years?

You have a 32-foot fence around a square garden. there are 4 equal sections. you paint 13 of one section of the fence. what fraction of the fence did you paint? you have a 32-foot fence around a square garden. there are 4 equal sections. you paint 13 of one section of the fence. what fraction of the fence did you paint?