Question 3 Catherine drove 2 hours at an average of 60 miles per hour and then drove 4 hours at an average of 45 miles per hour. How far did she drive?

2. Factoriza completamente: \( \begin{array}{ll}\text { a. } a^{2}+6 a+8 & \text { k. } x^{2}-18 x+77 \\ \text { b. } m^{2}+5 m+6 & \text { I. } y^{2}-y-90 \\ \text { c. } y^{2}+5 y+4 & \text { m. } 2 x^{2}+7 x+3 \\ \text { d. } n^{2}-7 n+12 & \text { n. } 3 m^{2}+2 m-1 \\ \text { e. } x^{2}-13 x+36 & \text { o. } 13 z^{2}-7 z-6 \\ \text { f. } m^{2}-15 m+56 & \text { p. } 10 a^{2}-11 a-6 \\ \text { g. } 14-15 h+h^{2} & \text { q. } 35 z^{2}-22 z+3 \\ \text { h. } w^{2}+16 w-55 & \text { r. } 12 c^{2}+28 c d-5 d^{2} \\ \text { i. } 33-34 a+a^{2} & \text { s. }-3+2 t+8 t^{2} \\ \text { j. } 9 t^{2}+6 t+1 & \text { t. }-5 a^{2}+2 a+7\end{array} \)

A used automobile dealership recently reduced the price of a used compact car by \( 8 \% \). If the price of the car before discount was \( \$ 18,300 \), find the discount and the ne price. The discount in price is \( \$ \square \)

Una pieza de cartulina mide 40 cm de ancho y 30 cm de alto y se emplea para fabricar cajas abiertas con una base de 936 cm2. Para fabricar las cajas se deben cortar las 4 esquinas de la cartulina como se muestra en la figura. Halle la longitud del lado del cuadrado que se debe recortar para que se cumpla el requisito del área de la base. Figura 1. Imagen ejercicio de aplicación B.

Define no correlation. Choose the correct answer below. A. No correlation means that two variables tend to change in opposite directions, with one increasing while the other decreases. B. No correlation means that there is no apparent relationship between the two variables. C. No correlation means that both variables tend to increase (or decrease) together, D. No correlation means that the two variables are always zero.

Factorice la siguiente expresion: \[ x^{2}+4 x-21 \]