\( 0 = 40 a ^ { 2 } - 41 a b + 40 b ^ { 2 } \)

Simplify. \[ \frac{3 x^{2}-6 x}{4 x^{2}-8 x} \]

10. Matador Wireless offers a data plan that charges \( \$ 10.00 \) a month for access, with no additional charge if usage is at or below 75 MB . If a customer exceeds 75 MB of data they are also charged 10 cents for each MB above 75 . If a customer exceeds 125 MB of data, they are charged 40 cents for each MB above 125 . a. What is the monthly cost to store 125 MB of data? b. Write a formula for the piecewise function of the cost function for storing \( x \mathrm{MB} \) of data a month. Fill in the boxes for the piecewise definition for the cost \( C(x) \) of storing \( x \) MB of data a month. \[ C(x)=\left\{\begin{array}{cc}10 & \text { if } 0 \leq x \leq 75 \\ 10+0.10(x-75) & \text { if } 75<x \leq 125 \\ 10+0.10(50)+0.40(x-125) & \text { if } x>125\end{array}\right. \]

Simplify. \[ \frac{10 y^{2}-25 y}{5 y^{2}-15 y} \]

Solve the equation. If necessary, round to the nearest thousandth. \( 7^{x+3}=6^{x} \) A. \( \{37.87\} \) B. \( \{-39.33\} \) C. \( \{-37.87\} \) D. \( \{-36.41\} \)

Un colega de profesión le sugirió a José que aumentara el valor del paquete básico a Q2,500. De hacerlo, ¿cuántos paquetes debería vender para cubrir su inversión inicial en equipo fotográfico y el costo del seguro durante los 3 años de garantía extendida? \( 2,500 p>36,036 \rightarrow p>\frac{36,036}{2,500} \rightarrow p \perp \)