/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q. 71 solve equation. Verify your resu... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 5: Q. 71 (page 284)

solve equation. Verify your results using a graphing utility.

8-x+14=16x

Short Answer

Expert verified

The value of x for which the equation is valid is 6.

Step by step solution

01

Step 1. Given equation

8-x+14=16x

02

Step 2. Solving the equation using exponential properties 

8-x+14=16x23(-x+14)=24(x)2(-3x+42)=2(4x)

By exponential property

av=au鈬�v=u

Using this :

-3x+42=4x鈬�7x=42鈬�x=6

We get value of x :

6

03

Step 3. Verifying Graphically

Sketching the graphs of

8-x+14=16x

Where they will intersect will be the solution .

these graph intersect at (6,16777216 )

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Often environmentalists capture an endangered species and transport the species to

a controlled environment where the species can produce offspring and regenerate its population. Suppose that six American bald eagles are captured, transported to Montana,

and set free. Based on experience, the environmentalists expect the population to grow according to the model Pt=5001+82.33e-0.162twhere t is measured in years.

(a) Determine the carrying capacity of the environment.

(b) What is the growth rate of the bald eagle?

(c) Use a graphing utility to graphP=Pt.

(d) What is the population after 3 years?

(e) When will the population be 300 eagles?

(f) How long does it take for the population to reach one-half of the carrying capacity?

Evaluate each expression using the graphs of y = f(x) and y = g(x) shown in the figure.

(a) (g o f)(-8)

(b) (fog)(-8)

(c) (g o g)(7)

(d) (g o f)(-5)

What is the interest due if $500 is borrowed for 6 months at a simple interest rate of 6% per annum?

In Problems 33-40, the graph of an exponential function is given. Match each graph to one of the following functions.

Income Taxes The function

Tg=1700+0.15g-17000

represents the 2011 federal income tax T (in dollars) due for a 鈥渕arried filing jointly鈥� filer whose modified adjusted gross income isg dollars, where17000鈮�g鈮�69000

(a) What is the domain of the function T?

(b) Given that the tax due T is an increasing linear function of modified adjusted gross income g, find the range of the function T.

(c) Find adjusted gross income g as a function of federal income tax T. What are the domain and the range of this

function?
See all solutions

Recommended explanations on Math Textbooks

Pure Maths

Read Explanation

Calculus

Read Explanation

Logic and Functions

Read Explanation

Statistics

Read Explanation

Probability and Statistics

Read Explanation

Decision Maths

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.