\( x \) starts to increase at a rate of 3 units per second. This causes \( S(x) \) to increase as well. Find the rate of change of \( S(x) \) with respect to time, at the instant when \( x \) is half the perpendicular height of the pyramid. Give your answer in square units per second, in terms of \( c \) and \( h \).

Question 7 Halla la ecuación de un recta tangente a la gráfica de: \[ f(x)=-x^{3}+x^{2} \] en el punto \( (2,-4) \). (A) \( y=-8 x-8 \) (B) \( y=-8 x-6 \) (C) \( y=-8 x-2 \) (D) \( y=-8 x+12 \)

8.- Una taza equivale a 0.250 litros. Entonces una taza es:

Use the multiplication properties following: a) \( (-2) \times 15 \times 5 \)

Solve the system by either the addition method or the substitution method. \( \left\{\begin{array}{l}3 x+5 y=10 \\ 2 x-6 y=-48.4\end{array}\right. \) Select the correct choice below and, if necessary, fill in the answer box within your choice. A. The solution is \( \square \). (Simplify your answer. Type an ordered pair. \( ) \) B. There are infinitely many solutions; \( \{(x, y) \mid 3 x+5 y=10\} \) or \( \{(x, y) \mid 2 x-6 y=-48,4\} \) C. There is no solution; \( \} \) or \( \varnothing \).

Joyce wants to has an areat a rectangular gat least 300 square meters and a perimeter of at least 70 meters. If the length of the garden is \( x \) meters long and the width is \( y \) meters long, which of the follow systems of inequalities represents Joyce's requirements?