Find the inner product of (4,9,-3), (-6, 7,5)and state whether the vectors are perpendicular.

24, not Perpendicular

Step-by-step explanation:

4×-6 + 9×7 + -3×5

-24 + 63 - 15

24

Perpendicular when inner product is 0

pretty sure 750 each month!

step-by-step explanation:

b: |12 – x| ≤ 0.25

step-by-step explanation:      

let x be the possible lengths in inches, of the ribbons jaime cut.

we have been given that jaime is cutting strips of ribbon for a project. he tries to cut each piece to be 12 inches long, but sometimes he cuts it too long or too short by as much as 0.25 inch.  

we can represent this information in an inequality as:

by the definition of absolute value function we will get,

upon combining our inequalities we will get,

therefore, the inequality   describes all the possible lengths (x), in inches, of the ribbons jaime cut.

step-by-step explanation: