what planet would you weigh the most?

Use a graph to estimate the roots of the equation on the given interval.

$$x-\ln (0.3 x)-3 \log _3 x=0 ; \quad(0,9)$$

State the value of the discriminant for the given equation. Then determine the number of real roots of the equation.

$$s^2+8s+16=0$$

In Exercises $77$ through $84$, rationalize the root (or roots) in the given expression.

$$\frac{\sqrt{5}-\sqrt{11}}{4}$$

Write a sentence about a planet. Use the word $uninhabitable$ in your sentence.

Completa el resumen biográfico del autor Horacio Quiroga con la forma correcta del pretérito de los verbos entre paréntesis. (6)

Horacio Quiroga (1) (nacer) en Uruguay en 1878. A sus dotes naturales de narrador, desde joven Quiroga (2) (añadir) el estudio de grandes escritores, especialmente Poe, cuyos ambientes de misterio y horror (3) (tener) mucha influencia en su narrativa. Quiroga (4) (vivir) por varios años en Misiones, la zona selvática de Argentina que le (5)(dar) el ambiente para varios de sus mejores cuentos. Más tarde Quiroga (6) (mudarse) a Buenos Aires. Aunque su vida (7) (estar) marcada por la muerte de personas queridas, lo cual (8) (influenciar) su actividad creativa, Quiroga (9)(seguir) escribiendo hasta su muerte en 1937.

True or false? Exoplanets can sometimes be detected by monitoring the brightness of a star, and seeing it decrease as the planet blocks part of the star's light.

Solve each compound inequality. Then graph the solution set.

$-4 j+3<j+22$ and $j-3<2 j-15$

Consider the equation $a x^2+b x+c=0$. where a, b and c are real numbers.

a. What is its discriminant?

b. What are its roots?

Find the limit of the sequence $\{\sqrt{2}, \sqrt{2 \sqrt{2}}, \sqrt{2 \sqrt{2 \sqrt{2}}}, \ldots\}$

By Descartes's rule of signs, how many negative roots can $3 x^3+5 x^2-x+9=0$ have?

Solve the expression by using either substitution or elimination.

$$\begin{aligned} & 3 x+2 y=12 \\ & 5 x-4 y=8 \end{aligned}$$

Draw a slash through each word where it should be divided at the end of a line.

instant

Suppose you leave the solar system and arrive at a planet that has the same mass-to-volume ratio as Earth but has 10 times Earth's radius. What would you weigh on this planet compared with what you weigh on Earth?