Consider the following. y1 = 1 − x2, y2 = x2 − 1 (a) find all points of intersection of the graphs of the two equations. point a (x, y) = ( ) (smaller x-value) point b (x, y) = ( ) (larger x-value) (b) find the unit tangent vectors to each curve at their points of intersection. point a y1 = ± (−1,2) √5 point a y2 = ± (1,2) √5 point b y1 = ± (1,2) 5 point b y2 = ± (1,−2) 5 (c) find the angles (0° ≤ θ ≤ 90°) between the curves at their points of intersection. (round your answers to two decimal places.) point a ° point b °

Question 10jur's car can travel 340 miles on 12 gallons. jack's car can travel 390 miles on16 gallons. which person has the best mileage (miles per gallon) and what istheir mileage?

(50 ) 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.

At the beginning of a call to the cable company, a message tells customers, "after you finish talking to our customer service representative, you will be asked to take a five-question survey about the level of service you recieved. it would be appreciated if you could stay on the line to answer the survey questions." what type of sampling is the cable company using?