The lowest elevation of Death Valley is about −282 feet. Find the absolute value of the lowest elevation of Death Valley. Explain what this absolute value means.

Graph each inequality on a coordinate plane. 4x + 2y ≤ 8

find two quadratic functions, one that opens upward and one that opens downward, whose graphs have the given x-intercepts. (There are many correct answers.) (4, 0), (8, 0)

Based on your knowledge of HIV structure and replication, describe one way to interrupt the replication of HIV.

A store buys a photo frame at a wholesale price of $99.00. It sells the photo frame at a retail price of$16.20. The markup is the difference between the retail price and the wholesale price. What is the markup on the photo frame?

Evaluate f(3). $f ( x ) = \int _ { 0 } ^ { \infty } x ^ { - t } d t$

sketch the graph of each quadratic function and compare it with the graph of

$$y = x^2$$

.

$$k(x) = 1/2x^2 - 1$$

Many students strive to get good grades. How would social-learning theorists explain this behavior? How would behaviorists explain it?

What are the people doing? (traviesa) La joven ______ molesta a su hermanito.

Prove each statement by mathematical induction.

$$\sqrt { n } < \frac { 1 } { \sqrt { 1 } } + \frac { 1 } { \sqrt { 2 } } + \cdots + \frac { 1 } { \sqrt { n } }$$

, for all integers

$$n \geq 2$$

.

A sewing machine needle moves with a rapid vibratory motion, rather like SHM, as it sews a seam. Suppose the needle moves 8.4 mm from its highest to its lowest position and it makes 24 stitches in 9.0 s. What is the maximum needle speed?

For what values of x is the product (x + 4)(x – 6) positive? Explain

A positive number

$$\epsilon$$

and the limit L of a function f at

$$+ \infty$$

are given. Find a positive number N such that |f(x)-L|<

$$\epsilon$$

if x>N.

$$\lim _ { x \rightarrow + \infty } \frac { 4 x - 1 } { 2 x + 5 } = 2 ; \epsilon = 0.1$$