Answered: If the volume of the snow cone is (x³ +…

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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**Functions Overview: Using Division to Rewrite Rational Expressions**

**Mini Assessment**

1. **Problem 1**

Snow-Icee snow cones have their cones with the dimensions below.

Diagram of a cone:
- Radius $ r = (x + 8) $
- Height $ h $

If the volume of the snow cone is $(x^3 + 14x^2 + 32x - 128)\pi \, \text{cm}^3$, determine the height of the snow cone.

(The volume $ V $ of a cone is given by $ V = \frac{1}{3}\pi r^2 h $).

---

**Functions Overview: Using Synthetic Division to Divide Functions**

**Mini Assessment**

1. **Problem 1**

Determine an equivalent expression for the rational expression below.

\[
\frac{6x^3 - 37x^2 + 51x - 72}{x - \frac{9}{2}}
\]

$**Functions Overview: Using Synthetic Division to Divide Functions (Mini Assessment)** 1. Determine an equivalent expression for the rational expression below. \[ \frac{6x^3 - 37x^2 + 51x - 72}{x - \frac{9}{2}} \] 2. The polynomial $12x^3 - 25x^2 - 38x + 15$ represents the volume in cubic meters of a rectangular gasoline holding tank at NASA in Houston, TX. The height of the tank is $(x - 3)$. Use synthetic division to help you find the polynomial that represents the area of the base for the holding tank. --- **Functions Overview: Compositions of Functions (Mini Assessment)** 1. Consider the following functions. \[ r(m) = m^2 - 1 \] \[ b(m) = 3m - 2 \] *Note: The document contains Algebra Nation's logo in the bottom corners.*$

Transcribed Image Text:**Functions Overview: Using Synthetic Division to Divide Functions (Mini Assessment)** 1. Determine an equivalent expression for the rational expression below. \[ \frac{6x^3 - 37x^2 + 51x - 72}{x - \frac{9}{2}} \] 2. The polynomial $12x^3 - 25x^2 - 38x + 15$ represents the volume in cubic meters of a rectangular gasoline holding tank at NASA in Houston, TX. The height of the tank is $(x - 3)$. Use synthetic division to help you find the polynomial that represents the area of the base for the holding tank. --- **Functions Overview: Compositions of Functions (Mini Assessment)** 1. Consider the following functions. \[ r(m) = m^2 - 1 \] \[ b(m) = 3m - 2 \] *Note: The document contains Algebra Nation's logo in the bottom corners.*

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