/*! 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. 19 In Problems 18鈥�19, solve each ... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 3: Q. 19 (page 174)

In Problems 18鈥�19, solve each quadratic inequality.

3x2鈮�14x+5

Short Answer

Expert verified

The solution of inequality isxx鈮�-13orx鈮�5 or interval notation(-鈭�,-13]or[5,鈭�).

Step by step solution

01

Step 1. Given information. 

Solve the given quadratic inequality.

3x2鈮�14x+5

02

Step 2. Graph the function.

Rearrange the function.

3x2鈮�14x+53x2-14x-5鈮�0

Graph the function f(x)=3x2-14x-5

03

Step 3. Find intercept. 

y- intercept: f(0)=3(0)2-14(0)-5=-5

x- intercept: Solvef(x)=0

3x2-14x-5=03x2-15x+x-5=03x(x-5)+1(x-5)=0(x-5)(3x+1)=0x=5,-13

So, the x-intercept are x1=5andx2=-13

The solution set is xx鈮�-13orx鈮�5 and in interval notation(-鈭�,-13]or[5,鈭�).

04

Step 4. Conclusion. 

The solution set of inequality is xx鈮�-13orx鈮�5or in interval notation (-鈭�,-13]or[5,鈭�).

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

If h(x)=-23x+4,then

(a) Determine the slope and y-intercept of each function.

(b) Use the slope and y-intercept to graph the linear function.

(c) Determine the average rate of change of each function.

(d) Determine whether the linear function is increasing, decreasing, or constant.

Graph the function fby starting with the graph of y=x2and using transformations (shifting, compressing, stretching, and/or reflection). Verify your results using a graphing utility.

f(x)=2x2+4

In Problems 21鈥�28, determine whether the given function is linear or nonlinear. If it is linear, determine the equation of the line .

xy=f(x)
-2-26
-1-4
02
1-2
2-10

Determine the quadratic function whose graph is given.

For the graph of the linear functionH(z)=-4z+3, the slope is_____ and the y-intercept is_____.
See all solutions

Recommended explanations on Math Textbooks

Mechanics Maths

Read Explanation

Probability and Statistics

Read Explanation

Geometry

Read Explanation

Pure Maths

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Discrete Mathematics

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.