Escribe dos oraciones completas sobre qué tenemos que hacer cuando encontramos un obstáculo.

Solve each inequality algebraically. $x^{3}-4 x^{2}>0$

Find the solution of the exponential equation, rounded to two decimal places. $3^{4 x}=3^{100}$

Completa el diálogo con las palabras del recuadro: de segundo, traer, mí, de primero, pasarme -Buenos días. ¿Qué van a comer? -Para__________, _________ una ensalada. Y________, pollo, asado. Y para beber una botella de agua. -Y para mí lo mismo. Gracias. -¿Nos puede__________otro vaso, por favor? -Sí, por supuesto. -María, ¿puedes__________ esa servilleta, por favor?

Find the exact value of the trigonometric function at the given real number. $\csc \frac{2 \pi}{3}$

Tú también eres parte de la sociedad. Lee cada oración y contesta cierto o falso. C F 1. Para prosperar hay que persistir y emprender. C F 2. La desconfianza ayuda a la sociedad a progresar. C F 3. Los problemas son obstáculos. C F 4. La conciencia social se encarga de criticar a los ciudadanos.

Consider the diagram below.

a. Determine the measures of the eight unknown angle measures inside the figure.

b. List the labeled side lengths in order from least to greatest.

Sketch the graph of each function by transforming the graph of an appropriate function of the form

(a) Explain what is meant by $\lim _{x \rightarrow a} f(x)=L.$ (b) If $\lim _{x \rightarrow 2} f(x)=5,$ is it possible that f(2) = 3? (c) Find $\lim _{x \rightarrow 2} x^{2}.$

An equation of a hyperbola is given. Find the center, vertices, foci, and asymptotes of the hyperbola. $25 x^{2}-9 y^{2}-54 y=306$

A half-dollar has a diameter of about 31 millimeters. About how many millimeters long would a row of 56 half-dollars be?

Solve the given equation for x. $\tan ^{-1} x+\tan ^{-1} 2 x=\frac{\pi}{4}$

Graph the function f by starting with the graph of $y = x^2$ and using transformations (shifting, compressing, stretching, and/or reflection). Verify your results using a graphing utility. [Hint: If necessary, write f in the form $f(x)=a(x-h)^{2}+k$.] $f(x)=-x^{2}-2 x$

Use the Factor Theorem to show that the statement in the exercise is true. Show that x + 4 is a factor of the polynomial $P(x)=x^{5}+4 x^{4}-7 x^{3}-23 x^{2}+23 x+12$