\[ y=a x^{3}+2 x^{2}+5 x+d \] The graph of the function above in the \( x y \)-plane has an \( x \)-intercept at \( x=3 \) and a \( y \)-intercept at \( y=2 \). What is the value of \( a \) ?

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? \( 2,500 p>36,036 \rightarrow p>\frac{36,036}{2,500} \rightarrow p \perp \)

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. \[ C(x)=\left\{\begin{array}{cc}10 & \text { if } 0 \leq x \leq 75 \\ 10+0.10(x-75) & \text { if } 75<x \leq 125 \\ 10+0.10(50)+0.40(x-125) & \text { if } x>125\end{array}\right. \]

Find the range of the quadratic function, \[ y=-3 x^{2}-12 x-15 \] Write your answer as an inequality using \( x \) or \( y \) as appropriate, Or, you may instead click on "Empty set" or "All reals" as the answer, प<ロ \( \square>\square \)

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. \( \{-36.41\} \)

\( | \frac { 2 x - 1 } { x + 1 } - 2 | < \varepsilon \)