Glencoe Algebra 2 Student Edition C2014
Glencoe Algebra 2 Student Edition C2014
1st Edition
ISBN: 9780076639908
Author: McGraw-Hill Glencoe
Publisher: MCG
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Concept explainers

Equations and Inequations
Equations and inequalities describe the relationship between two mathematical expressions.
Linear Functions
A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.
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Question
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Chapter 10.6, Problem 49SR

(a)

To determine

Write expressions for the time spent at that speed and for the time spent on the other highway.

(a)

Expert Solution
Check Mark

Answer to Problem 49SR

  150x;130x−10

Explanation of Solution

Given:

A trip between two towns takes 4 hours under ideal conditions. The first 150 miles of the trip is on an interstate, and the last 130 miles is on a highway with a speed limit that is 10 miles per hour less than on the interstate.

If a represents the speed limit on the interstate, write expressions for the time spent at that speed and for the time spent on the other highway.

Concept Used:

  Time  taken  =  DistanceSpeed

Distance traveled on the interstate is 150 miles.

Calculation:

  Time  taken  =  DistanceSpeed

Distance traveled on the interstate is 150 miles.

So, the time spent on the interstate is 150x

Distance traveled on highways is 130 miles. Speed on high way is x−10

So, the time spent on the highways is 130x−10

Thus, the time spent on the highways is 130x−10

(b)

To determine

Write and solve an equation to find the speed limits on the two highways.

(b)

Expert Solution
Check Mark

Answer to Problem 49SR

  150x+130x−10=4; 75 mph; 65 mph

Explanation of Solution

Given:

A trip between two towns takes 4 hours under ideal conditions. The first 150 miles of the trip is on an interstate, and the last 130 miles is on a highway with a speed limit that is 10 miles per hour less than on the interstate.

Write and solve an equation to find the speed limits on the two highways.

Concept Used:

Total time taken for the trip is 4 hours.

The required equation: 150x+130x−10=4

Calculation:

The required equation: 150x+130x−10=4

Solve for x:

  150(x−10)+130x=4x(x−10)150x−1500+130x=4x2−40x4x2−40x−150x−130x+1500  =04x2−320x+1500=0x2−80x+375=0(x−5)(x−75)=0x−5=0  ⇒  x=5x−75=0  ⇒  x=75

So, the speed on the interstate is 75 mph.

Thus, the speed on the highway is 75 − 10 = 65 mph

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Chapter 10.6, Problem 48SR
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Chapter 10.6, Problem 50S

Chapter 10 Solutions

Glencoe Algebra 2 Student Edition C2014

Ch. 10.1 - Prob. 1AGPCh. 10.1 - Prob. 1BGPCh. 10.1 - Prob. 2GPCh. 10.1 - Prob. 3GPCh. 10.1 - Prob. 4AGPCh. 10.1 - Prob. 4BGPCh. 10.1 - Prob. 5GPCh. 10.1 - Prob. 6AGPCh. 10.1 - Prob. 6BGPCh. 10.1 - Prob. 6CGP
Ch. 10.1 - Prob. 1CYUCh. 10.1 - Prob. 2CYUCh. 10.1 - Prob. 3CYUCh. 10.1 - Prob. 4CYUCh. 10.1 - Prob. 5CYUCh. 10.1 - Prob. 6CYUCh. 10.1 - Prob. 7CYUCh. 10.1 - Prob. 8CYUCh. 10.1 - Prob. 9CYUCh. 10.1 - Prob. 10CYUCh. 10.1 - Prob. 11CYUCh. 10.1 - Prob. 12CYUCh. 10.1 - Prob. 13CYUCh. 10.1 - Prob. 14CYUCh. 10.1 - Prob. 15CYUCh. 10.1 - Prob. 16CYUCh. 10.1 - Prob. 17CYUCh. 10.1 - Prob. 18CYUCh. 10.1 - Prob. 19CYUCh. 10.1 - Prob. 20CYUCh. 10.1 - Prob. 21PPSCh. 10.1 - Prob. 22PPSCh. 10.1 - Prob. 23PPSCh. 10.1 - Prob. 24PPSCh. 10.1 - Prob. 25PPSCh. 10.1 - Prob. 26PPSCh. 10.1 - Prob. 27PPSCh. 10.1 - Prob. 28PPSCh. 10.1 - Prob. 29PPSCh. 10.1 - Prob. 30PPSCh. 10.1 - Prob. 31PPSCh. 10.1 - Prob. 32PPSCh. 10.1 - Prob. 33PPSCh. 10.1 - Prob. 34PPSCh. 10.1 - Prob. 35PPSCh. 10.1 - Prob. 36PPSCh. 10.1 - Prob. 37PPSCh. 10.1 - Prob. 38PPSCh. 10.1 - Prob. 39PPSCh. 10.1 - Prob. 40PPSCh. 10.1 - Prob. 41PPSCh. 10.1 - Prob. 42PPSCh. 10.1 - Prob. 43PPSCh. 10.1 - Prob. 44PPSCh. 10.1 - Prob. 45PPSCh. 10.1 - Prob. 46PPSCh. 10.1 - 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Prob. 98SCh. 10.2 - Prob. 99SCh. 10.2 - Prob. 100SCh. 10.3 - Prob. 1GPCh. 10.3 - Prob. 2AGPCh. 10.3 - Prob. 2BGPCh. 10.3 - Prob. 3GPCh. 10.3 - Prob. 4AGPCh. 10.3 - Prob. 4BGPCh. 10.3 - Prob. 5AGPCh. 10.3 - Prob. 5BGPCh. 10.3 - Prob. 6GPCh. 10.3 - Prob. 1CYUCh. 10.3 - Prob. 2CYUCh. 10.3 - Prob. 3CYUCh. 10.3 - Prob. 4CYUCh. 10.3 - Prob. 5CYUCh. 10.3 - Prob. 6CYUCh. 10.3 - Prob. 7CYUCh. 10.3 - Prob. 8CYUCh. 10.3 - Prob. 9CYUCh. 10.3 - Prob. 10CYUCh. 10.3 - Prob. 11CYUCh. 10.3 - Prob. 12CYUCh. 10.3 - Prob. 13CYUCh. 10.3 - Prob. 14CYUCh. 10.3 - Prob. 15CYUCh. 10.3 - Prob. 16CYUCh. 10.3 - Prob. 17PPSCh. 10.3 - Prob. 18PPSCh. 10.3 - Prob. 19PPSCh. 10.3 - Prob. 20PPSCh. 10.3 - Prob. 21PPSCh. 10.3 - Prob. 22PPSCh. 10.3 - Prob. 23PPSCh. 10.3 - Prob. 24PPSCh. 10.3 - Prob. 25PPSCh. 10.3 - Prob. 26PPSCh. 10.3 - Prob. 27PPSCh. 10.3 - Prob. 28PPSCh. 10.3 - Prob. 29PPSCh. 10.3 - Prob. 30PPSCh. 10.3 - Prob. 31PPSCh. 10.3 - Prob. 32PPSCh. 10.3 - Prob. 33PPSCh. 10.3 - Prob. 34PPSCh. 10.3 - Prob. 35PPSCh. 10.3 - 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Prob. 83SRCh. 10.3 - Prob. 84SRCh. 10.3 - Prob. 85SRCh. 10.3 - Prob. 86SCh. 10.3 - Prob. 87SCh. 10.3 - Prob. 88SCh. 10.3 - Prob. 89SCh. 10.4 - Prob. 1AGPCh. 10.4 - Prob. 1BGPCh. 10.4 - Prob. 2AGPCh. 10.4 - Prob. 2BGPCh. 10.4 - Prob. 3GPCh. 10.4 - Prob. 4GPCh. 10.4 - Prob. 1CYUCh. 10.4 - Prob. 2CYUCh. 10.4 - Prob. 3CYUCh. 10.4 - Prob. 4CYUCh. 10.4 - Prob. 5CYUCh. 10.4 - Prob. 6CYUCh. 10.4 - Prob. 7CYUCh. 10.4 - Prob. 8CYUCh. 10.4 - Prob. 9CYUCh. 10.4 - Prob. 10CYUCh. 10.4 - Prob. 11CYUCh. 10.4 - Prob. 12CYUCh. 10.4 - Prob. 13CYUCh. 10.4 - Prob. 14CYUCh. 10.4 - Prob. 15CYUCh. 10.4 - Prob. 16PPSCh. 10.4 - Prob. 17PPSCh. 10.4 - Prob. 18PPSCh. 10.4 - Prob. 19PPSCh. 10.4 - Prob. 20PPSCh. 10.4 - Prob. 21PPSCh. 10.4 - Prob. 22PPSCh. 10.4 - Prob. 23PPSCh. 10.4 - Prob. 24PPSCh. 10.4 - Prob. 25PPSCh. 10.4 - Prob. 26PPSCh. 10.4 - Prob. 27PPSCh. 10.4 - Prob. 28PPSCh. 10.4 - Prob. 29PPSCh. 10.4 - Prob. 30PPSCh. 10.4 - Prob. 31PPSCh. 10.4 - Prob. 32PPSCh. 10.4 - Prob. 33PPSCh. 10.4 - Prob. 34PPSCh. 10.4 - 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Prob. 6ECh. 10.4 - Prob. 1MCQCh. 10.4 - Prob. 2MCQCh. 10.4 - Prob. 3MCQCh. 10.4 - Prob. 4MCQCh. 10.4 - Prob. 5MCQCh. 10.4 - Prob. 6MCQCh. 10.4 - Prob. 7MCQCh. 10.4 - Prob. 8MCQCh. 10.4 - Prob. 9MCQCh. 10.4 - Prob. 10MCQCh. 10.4 - Prob. 11MCQCh. 10.4 - Prob. 12MCQCh. 10.4 - Prob. 13MCQCh. 10.4 - Prob. 14MCQCh. 10.4 - Prob. 15MCQCh. 10.4 - Prob. 16MCQCh. 10.4 - Prob. 17MCQCh. 10.4 - Prob. 18MCQCh. 10.4 - Prob. 19MCQCh. 10.4 - Prob. 20MCQCh. 10.5 - Prob. 1GPCh. 10.5 - Prob. 2AGPCh. 10.5 - Prob. 2BGPCh. 10.5 - Prob. 2CGPCh. 10.5 - Prob. 3GPCh. 10.5 - Prob. 4GPCh. 10.5 - Prob. 1CYUCh. 10.5 - Prob. 2CYUCh. 10.5 - Prob. 3CYUCh. 10.5 - Prob. 4CYUCh. 10.5 - Prob. 5CYUCh. 10.5 - Prob. 6CYUCh. 10.5 - Prob. 7CYUCh. 10.5 - Prob. 8CYUCh. 10.5 - Prob. 9CYUCh. 10.5 - Prob. 10CYUCh. 10.5 - Prob. 11CYUCh. 10.5 - Prob. 12PPSCh. 10.5 - Prob. 13PPSCh. 10.5 - Prob. 14PPSCh. 10.5 - Prob. 15PPSCh. 10.5 - Prob. 16PPSCh. 10.5 - Prob. 17PPSCh. 10.5 - Prob. 18PPSCh. 10.5 - Prob. 19PPSCh. 10.5 - Prob. 20PPSCh. 10.5 - 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Prob. 34HPCh. 10.7 - Prob. 35HPCh. 10.7 - Prob. 36HPCh. 10.7 - Prob. 37HPCh. 10.7 - Prob. 38HPCh. 10.7 - Prob. 39HPCh. 10.7 - Prob. 40HPCh. 10.7 - Prob. 41STPCh. 10.7 - Prob. 42STPCh. 10.7 - Prob. 43STPCh. 10.7 - Prob. 44STPCh. 10.7 - Prob. 45SRCh. 10.7 - Prob. 46SRCh. 10.7 - Prob. 47SRCh. 10.7 - Prob. 48SRCh. 10.7 - Prob. 49SRCh. 10.7 - Prob. 50SRCh. 10.7 - Prob. 51SCh. 10.7 - Prob. 52SCh. 10.7 - Prob. 53SCh. 10.7 - Prob. 54SCh. 10.7 - Prob. 55SCh. 10.7 - Prob. 56SCh. 10.7 - Prob. 57SCh. 10.7 - Prob. 58SCh. 10.7 - Prob. 59SCh. 10.7 - Prob. 60SCh. 10.7 - Prob. 61SCh. 10.7 - Prob. 62SCh. 10 - Prob. 1QCCh. 10 - Prob. 2QCCh. 10 - Prob. 3QCCh. 10 - Prob. 4QCCh. 10 - Prob. 5QCCh. 10 - Prob. 6QCCh. 10 - Prob. 7QCCh. 10 - Prob. 8QCCh. 10 - Prob. 9QCCh. 10 - Prob. 10QCCh. 10 - Prob. 11QCCh. 10 - Prob. 12QCCh. 10 - Prob. 13QCCh. 10 - Prob. 14QCCh. 10 - Prob. 1SGRCh. 10 - Prob. 2SGRCh. 10 - Prob. 3SGRCh. 10 - Prob. 4SGRCh. 10 - Prob. 5SGRCh. 10 - Prob. 6SGRCh. 10 - Prob. 7SGRCh. 10 - Prob. 8SGRCh. 10 - Prob. 9SGRCh. 10 - Prob. 10SGRCh. 10 - Prob. 11SGRCh. 10 - Prob. 12SGRCh. 10 - Prob. 13SGRCh. 10 - Prob. 14SGRCh. 10 - Prob. 15SGRCh. 10 - Prob. 16SGRCh. 10 - Prob. 17SGRCh. 10 - Prob. 18SGRCh. 10 - Prob. 19SGRCh. 10 - Prob. 20SGRCh. 10 - Prob. 21SGRCh. 10 - Prob. 22SGRCh. 10 - Prob. 23SGRCh. 10 - Prob. 24SGRCh. 10 - Prob. 25SGRCh. 10 - Prob. 26SGRCh. 10 - Prob. 27SGRCh. 10 - Prob. 28SGRCh. 10 - Prob. 29SGRCh. 10 - Prob. 30SGRCh. 10 - Prob. 31SGRCh. 10 - Prob. 32SGRCh. 10 - Prob. 33SGRCh. 10 - Prob. 34SGRCh. 10 - Prob. 35SGRCh. 10 - Prob. 36SGRCh. 10 - Prob. 37SGRCh. 10 - Prob. 38SGRCh. 10 - Prob. 39SGRCh. 10 - Prob. 40SGRCh. 10 - Prob. 41SGRCh. 10 - Prob. 42SGRCh. 10 - Prob. 43SGRCh. 10 - Prob. 44SGRCh. 10 - Prob. 45SGRCh. 10 - Prob. 46SGRCh. 10 - Prob. 47SGRCh. 10 - Prob. 48SGRCh. 10 - Prob. 49SGRCh. 10 - Prob. 50SGRCh. 10 - Prob. 51SGRCh. 10 - Prob. 52SGRCh. 10 - Prob. 53SGRCh. 10 - Prob. 54SGRCh. 10 - Prob. 55SGRCh. 10 - Prob. 56SGRCh. 10 - Prob. 57SGRCh. 10 - Prob. 58SGRCh. 10 - Prob. 59SGRCh. 10 - Prob. 60SGRCh. 10 - Prob. 61SGRCh. 10 - Prob. 62SGRCh. 10 - Prob. 63SGRCh. 10 - Prob. 64SGRCh. 10 - Prob. 65SGRCh. 10 - Prob. 66SGRCh. 10 - Prob. 67SGRCh. 10 - Prob. 68SGRCh. 10 - Prob. 69SGRCh. 10 - Prob. 1PTCh. 10 - Prob. 2PTCh. 10 - Prob. 3PTCh. 10 - Prob. 4PTCh. 10 - Prob. 5PTCh. 10 - Prob. 6PTCh. 10 - Prob. 7PTCh. 10 - Prob. 8PTCh. 10 - Prob. 9PTCh. 10 - Prob. 10PTCh. 10 - Prob. 11PTCh. 10 - Prob. 12PTCh. 10 - Prob. 13PTCh. 10 - Prob. 14PTCh. 10 - Prob. 15PTCh. 10 - Prob. 16PTCh. 10 - Prob. 17PTCh. 10 - Prob. 18PTCh. 10 - Prob. 19PTCh. 10 - Prob. 20PTCh. 10 - Prob. 21PTCh. 10 - Prob. 22PTCh. 10 - Prob. 23PTCh. 10 - Prob. 24PTCh. 10 - Prob. 1ECh. 10 - Prob. 2ECh. 10 - Prob. 1STPCh. 10 - Prob. 2STPCh. 10 - Prob. 3STPCh. 10 - Prob. 4STPCh. 10 - Prob. 5STPCh. 10 - Prob. 6STPCh. 10 - Prob. 7STPCh. 10 - Prob. 8STPCh. 10 - Prob. 9STPCh. 10 - Prob. 10STPCh. 10 - Prob. 11STPCh. 10 - Prob. 12STPCh. 10 - Prob. 13STPCh. 10 - Prob. 14STPCh. 10 - Prob. 15STPCh. 10 - Prob. 16STPCh. 10 - Prob. 17STPCh. 10 - Prob. 18STP

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