The scatterplot below shows the profit earned each one by a new company over the first year of operation. The owner writes a line of best fit equation, shown below, to model the relationship between profit earned in month.

Y =2,500 X -2,500

explain how you know that the line of best fit equation is appropriate. Be sure to mention about the slope and Y – intercept in your response

Find the least common multiple of the expressions: 1. 3x^2, 6x - 18 2. 5x, 5x(x +2) 3. x^2 - 9, x + 3 4. x^2 - 3x - 10, x + 2 explain if possible

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’s the volume of the triangular prism?