What impact does restricting the domain of a linear function have on the graph of the function?

An experiment to study the lifetime (in hours) for a certain type of component involved putting ten components into operation and observing them for 100 hours. Eight of the components failed during that period, and those lifetimes were recorded. Denote the lifetimes of the two components still functioning after 100 hours by 1001. The resulting sample observations were as following :

$$48 \text{, }79 \text{, }1001 \text{, }35 \text{, }92 \text{, }86 \text{, }57 \text{, }1001 \text{, }17 \text{, }29$$

Which of the measures of center discussed in this section can be calculated, and what are the values of those measures? [Note: The data from this experiment is said to be “censored on the right.”]

The results of the last math test are:

81,78,90,85,62,59,86,94,93,92,85,82,90,80,86,85

Construct a frequency table of interval width 10.

The meaning of the word "alacrity" probably is: A) eager readiness; B) on high alert; C) total devastation; D) prominent.

With your team describe the graphs of $p(x)$ and $q(x)$ and then visualize and sketch your predictions for the graphs of their sum, difference, product, and quotient before checking with a graphing tool.

$$p(x)=x^3-3 x-1 \quad q(x)=x-1$$

a. $p(x)+q(x)$

b. $p(x)-q(x)$

c. $p(x) \cdot q(x)$

d. $\frac{p(x)}{q(x)}$

e. Now, sketch a complete graph for each combined function and fully describe it. Be prepared to share your observations with the class.

Two solid spheres, A and B, made of the same material, are at temperatures of $0 ^ { \circ } \mathrm { C } \text { and } 100 ^ { \circ } \mathrm { C }$, respectively. The spheres are placed in thermal contact in an ideal calorimeter, and they reach an equilibrium temperature of $20 ^ { \circ } \mathrm { C }$. Which is the bigger sphere? What is the ratio of their diameters?

If a bubble in sparkling water accelerates upward at the rate of 0.225 m/s² and has a radius of 0.500 mm, what is its mass? Assume that the drag force on the bubble is negligible.

determine whether each ordered triple is a solution of the system of equations. {4x + y - z = 0 , -8x - 6y + z = - 7/4 , 3x - y = -9.4. (-1/2, 1/6, -3/4)

A circular tabletop has a diameter of 6 ft. What is its area?

$$A. 6 \pi \text{ ft} ^ { 2 }\quad B. 9 \pi \text{ ft} ^ { 2 }\quad C. 12 \pi \text{ ft} ^ { 2 }\quad D. 36 \pi \text{ ft} ^ { 2 }\quad$$

find the zeros of the function, f(x) = |x + 5|

Marcy is climbing down a hill. She descends 1.8 meters each minute for 5 minutes. Write and simplify an expression to find Marcy's total change in elevation.

Determine whether the described angle is an acute angle, is a right angle, is an obtuse angle, or does not exist. The supplement of an obtuse angle

Simplify: 4 1/2 - 3/8

evaluate (if possible) the sine, cosine, and tangent at the real number. t = π/3