Mandy needs to round 186 to the nearest 10 . What numbers should Mandy use to label the number line before she plots 186 ? \( 100,200,300 \) \( 190,200,210 \) \( 180,190,200 \) \( 185,186,187 \)

\( y ^ { \prime } = \frac { x ^ { 2 } + x = 2 } { x ^ { 3 } + 6 } \)

Use implicit differentiation to find \( \frac{d y}{d x} \) \[ \cos \left(4 y^{2}\right)-5 x=3 e^{y} \] dy

1. Use the given equation to find \( y=-4 x+9 \) \( (2, \square),(-3, \square),(0, \square) \)

Describe how the graph of \( g(x)=\frac{1}{x+4}+6 \) can be obtained from the graph of \( f(x)=\frac{1}{x} \). How can the graph of \( g(x)=\frac{1}{x+4}+6 \) be obtained from the graph of \( f(x)=\frac{1}{x} \) ? A. Shift the graph left 4 units and up 6 units. B. Shift the graph left 4 units and down 6 units. C. Shift the graph right 4 units and up 6 units. D. Shift the graph right 4 units and down 6 units.

d) Una empresa se dedica a fabricar pendrives, el costo en euros para fabricar \( x \) unidades es \( C(x)= \) \( 6 x^{2}+10 x-600 \) y el precio de venta de \( x \) unidades está dado por \( P(x)=6 x+4 \). ¿Cuántas unidades debe fabricar y vender para que el beneficio sea nulo?