Use a Graphing Utility to Graph the Equation $y = \frac { 1 } { 6 } x ^ { 2 } - 6 x + 1$

question 190

Multiple Choice

Use a graphing utility to graph the equation.Use the graph to approximate the values of x that satisfy the inequality.
Equation: $y = \frac { 1 } { 6 } x ^ { 2 } - 6 x + 1$
Inequality: $y \leq 0$

• A) \(x \leq - 1 - \sqrt { \frac { 4 } { 27 } } , 1 - \sqrt { \frac { 4 } { 27 } } \leq x \leq 1 + \sqrt { \frac { 4 } { 27 } }\)
• B) \(1 - \sqrt { \frac { 4 } { 27 } } \leq \mathrm { x } \leq 1 + \sqrt { \frac { 4 } { 27 } }\)
• C) \(x \leq 1 - \sqrt { \frac { 4 } { 27 } } , 1 + \sqrt { \frac { 4 } { 27 } } \leq x\)
• D) \(x \leq - 1 - \sqrt { \frac { 4 } { 27 } } , - 1 + \sqrt { \frac { 4 } { 27 } } \leq x\)
• E) \(- 1 - \sqrt { \frac { 4 } { 27 } } \leq x \leq - 1 + \sqrt { \frac { 4 } { 27 } }\)

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Definitions:

Variable Costing

An accounting method in which costs vary in proportion to the volume of output; this includes direct materials, direct labor, and variable manufacturing overhead.

Operating Income

The profit realized from a business's core operations, excluding expenses related to financing and investments.

Absorption Costing

An accounting method that includes all manufacturing costs (direct and indirect) in the cost of a product.

Variable Costing

An accounting method that includes only variable manufacturing costs—direct materials, direct labor, and variable manufacturing overhead—in the cost of goods sold.