Lacia can run 4 miles in 24 minutes. Which sentence correctly represents both unit rates this situation?
Alacia runs 1/6 minutes to complete each mile, and she runs 1/20 mile per minute.
Alacia runs 1/20 mile per minute, and she runs 20 minutes to complete each mile.
Alacia runs 1/6 mile per minutes, and it takes her 6 minutes to complete each mile.
O Alacia runs 4 miles per minute, and she runs 1/4 minute to complete each mile.

Given the quadratic function f(x)=3x^2-24x+49 a. use “completing the squares” to convert the quadratic function into vertex form b. state the vertex c. find the x and y intercepts d. graph the function

Acompany manufactures three types of cabinets. it makes 110 cabinets each week. in the first week, the sum of the number of type-1 cabinets and twice the number of type-2 cabinets produced was 10 more than the number of type-3 cabinets produced. the next week, the number of type-1 cabinets produced was three times more than in the first week, no type-2 cabinets were produced, and the number of type-3 cabinets produced was the same as in the previous week.

What is the ordered pair of m’ after point m (5, 6) is rotated 90° counterclockwise?