Explanation Given information: The provided expression is ( 3 y 5 − y 2 + 12 y ) ÷ ( 3 y ) . Formula used: The quotient rule for any arbitrary number x and positive integers p and q along with the condition p > q is: x p x q = x p − q The distributive rule, for any arbitrary numbers a, b, and c is a ( b + c ) = a ⋅ b + a ⋅ c . Calculation: Consider the provided expression, ( 3 y 5 − y 2 + 12 y ) ÷ ( 3 y ) Rewrite the expression as, ( 3 y 5 − y 2 + 12 y ) ( 3 y ) Separate out the terms and coefficients, ( 3 y 5 − y 2 + 12 y ) ( 3 y ) = 3 y 5 3 y − y 2 3 y + 12 y 3 y = 3 3 ⋅ y 5 y − 1 3 ⋅ y 2 y + 12 3 ⋅ y y = y 5 y − 1 3 ⋅ y 2 y + 4 ⋅ y y Apply the formula, the quotient rule for any arbitrary number x and positive integers p and q along with the condition p > q is: x p x q = x

6th Edition

ISBN: 9780321848741

Author: Marvin L. Bittinger

Publisher: PEARSON

See similar textbooks

Concept explainers

Transformation of Graphs

The word ‘transformation’ means modification. Transformation of the graph of a function is a process by which we modify or change the original graph and make a new graph.

Exponential Functions

The exponential function is a type of mathematical function which is used in real-world contexts. It helps to find out the exponential decay model or exponential growth model, in mathematical models. In this topic, we will understand descriptive rules, c…

Videos

Question

Chapter 4, Problem 70RE

To determine

To calculate: The value of the division of the expression (3y5−y2+12y)÷(3y).

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 4, Problem 69RE

Chapter 4, Problem 71RE

Students have asked these similar questions

A boat's value over time, x, is given as the function f(x) = 400(b)x. Graph the boat's value decreasing at a rate of 25% per year?

Describe the y-intercept and end behavior of the following graph: 0 2 4 -2 -4 -6

Computing Ending Inventory under Dollar-Value LIFO Wheels Inc. accounts for inventory using the dollar-value LIFO method. The following information is available for Year 1 through Year 3 (listed chronologically). Year Ending Inventory at FIFO Price Index Year 1 Year 2 Year 3 $6,000 1.00 9,600 1.10 12,000 1.13 Compute ending inventory under the dollar-value LIFO method for Year 1, Year 2, and Year 3. • Note: Round your answers to the nearest whole dollar.

Chapter 4 Solutions

Elementary and Intermediate Algebra

Ch. 4.1 - Multiply and simplify: x5xx4 Ch. 4.1 - Divide and simplify: (x+p)6(x+p).Ch. 4.1 - Simplify: 990.Ch. 4.1 - 4. Simplify: . Ch. 4.1 - 5. Simplify: . Ch. 4.1 - Simplify: (3a3)2.Ch. 4.1 - Complete the sentence using the most appropriate...Ch. 4.1 - Complete the sentence using the most appropriate...Ch. 4.1 - Complete the sentence using the most appropriate...Ch. 4.1 - Complete the sentence using the most appropriate...

Knowledge Booster

$Algebra$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.

The value of the division of the expression ( 3 y 5 − y 2 + 12 y ) ÷ ( 3 y ) .

Solution Summary: The author explains the quotient rule for any arbitrary number x and positive integers p and q along with the distributive rule.

Concept explainers

Videos

To calculate: The value of the division of the expression (3y5−y2+12y)÷(3y).

Want to see the full answer?

Chapter 4 Solutions