Vectors: Find the vector from the point A=(−1,−7,3) to the point B=(3,−2,9). AB→=

Equations of lines: Consider the vector equation of the line through the two points listed above. For each equation listed below, answer T if the equation represents the line, and F if it does not.

Here is the list of questions:

1. 〈x, y,z〉=〈−1,−7,3〉+t〈−4,−5,−6〉

2. 〈x, y,z〉=〈−1,−7,3〉+t〈3,−2,9〉

3. 〈x, y,z〉=〈−1,−7,3〉+t〈4,5,6〉

4. 〈x, y,z〉=〈3,−2,9〉+t〈−1,−7,3〉

5. 〈x, y,z〉=〈3,−2,9〉+t〈4,5,6〉

What is the equation in slope-intercept form of the linear function represented by the table? y -18 -1 -8 4 2 912 o y=-2x-6 o y=-2x+6 o y=2x-6 o y = 2x+6

Tyler enjoys the fish so much that after his birthday his family decides to take him to a famous aquarium a tank at the aquarium is similar to his tank with the scale factor of 8 how many times greater is the volume of the tank at the aquarium than the volume of tyler tank

Mrs. julien’s and mrs. castillejo’s classes are selling cookie dough for a school fundraiser. customers can buy packages of macadamia nut chip cookie dough and packages of triple chocolate cookie dough. mrs. julien’s class sold 25 packages of macadamia nut chip cookie dough and 30 packages of triple chocolate cookie dough for a total of $221.25. mrs. castillejo’s class sold 5 packages of macadamia nut chip cookie dough and 45 packages of triple chocolate cookie dough for a total of $191.25. (a) write the system of equations that model the problem. be sure to explain which equation represents which situation. (b) find the cost of each type of cookie. show your work. (c) explain which method you used to solve the system and why you chose that method.