The daily profit in dollar of specially cake shop is described by tha function \( P(x)=-3 x^{2}+144 x-1,428 \) where \( x \) is the number of cake prepared in ane doy. How many cakes should be prepared pen day to maximize profit?

Se \( x^{2}-2 y z-y^{2}-z^{2}=80 \) e \( x-y-z=20 \) com \( x \) y e reais, o valor de \( 2 x+2 y+2 z \) é igual a: 4) 1 3) 2 () 4 ग) 8 -) 10

Write each expression in the form \( 2^{k x} \) or \( 3^{k x} \) for a suitable constant \( k \). \( \begin{array}{lll}\text { (a) } \frac{2^{7 x}}{2^{4 x}} & \text { (b) } \frac{2^{(3 x+1)}}{2 \cdot 2^{-2 x}} & \text { (c) } \frac{4^{-x}}{8^{-x / 3}} \\ \text { (a) } \frac{2^{7 x}}{2^{4 x}}=3\end{array} \)

Graphing a linear inequality on the number line Graph the inequality below on the number line. \( x<7 \)

How do we know when the data in a table is proportional?

(5.) Determina los resultados de las siguientes expre- siones. a. \( 2 \frac{1}{3}+1 \frac{2}{5}-1 \frac{1}{15} \) b. \( 3+\left(-\frac{5}{4}\right)+2 \frac{3}{4} \) c. \( 3 \frac{2}{7}-1 \frac{1}{5}-\left(\frac{4}{35}\right) \) d. \( 1 \frac{2}{5}-\frac{9}{21}-\left(\frac{1}{10}\right) \)