Glencoe Math Accelerated, Student Edition
1st Edition
ISBN: 9780076637980
Author: McGraw-Hill Glencoe
Publisher: MCG
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Concept explainers
Question
Chapter 8.5, Problem 51CCR
To determine
The solution of the expression
Expert Solution & Answer
Answer to Problem 51CCR
Explanation of Solution
Given:
The expression,
Concept Used:
- To get rid of a number in addition from one side, subtract the same number from both sides of equal sign.
- To get rid of a number in subtraction from one side, add the same number both sides of equal sign.
- To get rid of a number in multiplication from one side, divide the same number from both sides of equal sign.
- To get rid of a number in division from one side, multiply the same number both sides of equal sign.
Rules of Addition/ Subtraction:
- Two numbers with similar sign always get added and the resulting number will carry the similar sign.
- Two numbers with opposite signs always get subtracted and the resulting number will carry the sign of larger number.
Rules of Multiplication/ Division:
- The product/quotient of two similar sign numbers is always positive.
- The product/quotient of two numbers with opposite signs is always negative.
Calculation:
In order to solve the given expression
Thus, the solution of the expression is
Chapter 8 Solutions
Glencoe Math Accelerated, Student Edition
Ch. 8.1 - Prob. 1GPCh. 8.1 - Prob. 2GPCh. 8.1 - Prob. 3GPCh. 8.1 - Prob. 4GPCh. 8.1 - Prob. 5GPCh. 8.1 - Prob. 6GPCh. 8.1 - Prob. 7GPCh. 8.1 - Prob. 8GPCh. 8.1 - Prob. 9GPCh. 8.1 - Prob. 10GP
Ch. 8.1 - Prob. 11GPCh. 8.1 - Prob. 12IPCh. 8.1 - Prob. 13IPCh. 8.1 - Prob. 14IPCh. 8.1 - Prob. 15IPCh. 8.1 - Prob. 16IPCh. 8.1 - Prob. 17IPCh. 8.1 - Prob. 18IPCh. 8.1 - Prob. 19IPCh. 8.1 - Prob. 20IPCh. 8.1 - Prob. 21IPCh. 8.1 - Prob. 22IPCh. 8.1 - Prob. 23IPCh. 8.1 - Prob. 24IPCh. 8.1 - Prob. 25IPCh. 8.1 - Prob. 26IPCh. 8.1 - Prob. 27IPCh. 8.1 - Prob. 28IPCh. 8.1 - Prob. 29IPCh. 8.1 - Prob. 30IPCh. 8.1 - Prob. 31IPCh. 8.1 - Prob. 32IPCh. 8.1 - Prob. 33IPCh. 8.1 - Prob. 34IPCh. 8.1 - Prob. 35IPCh. 8.1 - Prob. 36IPCh. 8.1 - Prob. 37IPCh. 8.1 - Prob. 38IPCh. 8.1 - Prob. 39IPCh. 8.1 - Prob. 40IPCh. 8.1 - Prob. 41IPCh. 8.1 - Prob. 42IPCh. 8.1 - Prob. 43IPCh. 8.1 - Prob. 44IPCh. 8.1 - Prob. 45IPCh. 8.1 - Prob. 46IPCh. 8.1 - Prob. 47HPCh. 8.1 - Prob. 48HPCh. 8.1 - Prob. 49HPCh. 8.1 - Prob. 50HPCh. 8.1 - Prob. 51HPCh. 8.1 - Prob. 52STPCh. 8.1 - Prob. 53STPCh. 8.1 - Prob. 54STPCh. 8.1 - Prob. 55STPCh. 8.1 - Prob. 56CCRCh. 8.1 - Prob. 57CCRCh. 8.1 - Prob. 58CCRCh. 8.1 - Prob. 59CCRCh. 8.1 - Prob. 60CCRCh. 8.1 - Prob. 61CCRCh. 8.1 - Prob. 62CCRCh. 8.1 - Prob. 63CCRCh. 8.1 - Prob. 64CCRCh. 8.1 - Prob. 65CCRCh. 8.1 - Prob. 66CCRCh. 8.1 - Prob. 67CCRCh. 8.1 - Prob. 68CCRCh. 8.1 - Prob. 69CCRCh. 8.1 - Prob. 70CCRCh. 8.1 - Prob. 71CCRCh. 8.1 - Prob. 72CCRCh. 8.1 - Prob. 73CCRCh. 8.1 - Prob. 74CCRCh. 8.1 - Prob. 75CCRCh. 8.1 - Prob. 76CCRCh. 8.1 - Prob. 77CCRCh. 8.1 - Prob. 78CCRCh. 8.1 - Prob. 79CCRCh. 8.1 - Prob. 80CCRCh. 8.1 - Prob. 81CCRCh. 8.1 - Prob. 82CCRCh. 8.1 - Prob. 83CCRCh. 8.1 - Prob. 84CCRCh. 8.1 - Prob. 85CCRCh. 8.1 - Prob. 86CCRCh. 8.1 - Prob. 87CCRCh. 8.2 - Prob. 1GPCh. 8.2 - Prob. 2GPCh. 8.2 - Prob. 3GPCh. 8.2 - Prob. 4GPCh. 8.2 - Prob. 5GPCh. 8.2 - Prob. 6GPCh. 8.2 - Prob. 7GPCh. 8.2 - Prob. 8GPCh. 8.2 - Prob. 9GPCh. 8.2 - Prob. 10GPCh. 8.2 - Prob. 11GPCh. 8.2 - Prob. 12GPCh. 8.2 - Prob. 13GPCh. 8.2 - Prob. 14GPCh. 8.2 - Prob. 15GPCh. 8.2 - Prob. 16GPCh. 8.2 - Prob. 17GPCh. 8.2 - Prob. 18GPCh. 8.2 - Prob. 19GPCh. 8.2 - Prob. 20GPCh. 8.2 - Prob. 21GPCh. 8.2 - Prob. 22GPCh. 8.2 - Prob. 23GPCh. 8.2 - Prob. 24GPCh. 8.2 - Prob. 25GPCh. 8.2 - Prob. 26GPCh. 8.2 - Prob. 27IPCh. 8.2 - Prob. 28IPCh. 8.2 - Prob. 29IPCh. 8.2 - Prob. 30IPCh. 8.2 - Prob. 31IPCh. 8.2 - Prob. 32IPCh. 8.2 - Prob. 33IPCh. 8.2 - Prob. 34IPCh. 8.2 - Prob. 35IPCh. 8.2 - Prob. 36IPCh. 8.2 - Prob. 37IPCh. 8.2 - Prob. 38IPCh. 8.2 - Prob. 39IPCh. 8.2 - Prob. 40IPCh. 8.2 - Prob. 41IPCh. 8.2 - Prob. 42IPCh. 8.2 - Prob. 43IPCh. 8.2 - Prob. 44IPCh. 8.2 - Prob. 45IPCh. 8.2 - Prob. 46IPCh. 8.2 - Prob. 47IPCh. 8.2 - Prob. 48IPCh. 8.2 - Prob. 49IPCh. 8.2 - Prob. 50IPCh. 8.2 - Prob. 51IPCh. 8.2 - Prob. 52IPCh. 8.2 - Prob. 53IPCh. 8.2 - Prob. 54IPCh. 8.2 - Prob. 55IPCh. 8.2 - Prob. 56IPCh. 8.2 - Prob. 57IPCh. 8.2 - Prob. 58IPCh. 8.2 - Prob. 59IPCh. 8.2 - Prob. 60IPCh. 8.2 - Prob. 61IPCh. 8.2 - Prob. 62IPCh. 8.2 - Prob. 63IPCh. 8.2 - Prob. 64IPCh. 8.2 - Prob. 65IPCh. 8.2 - Prob. 66IPCh. 8.2 - Prob. 67IPCh. 8.2 - Prob. 68IPCh. 8.2 - Prob. 69HPCh. 8.2 - Prob. 70HPCh. 8.2 - Prob. 71HPCh. 8.2 - Prob. 72HPCh. 8.2 - Prob. 73HPCh. 8.2 - Prob. 74STPCh. 8.2 - Prob. 75STPCh. 8.2 - Prob. 76STPCh. 8.2 - Prob. 77STPCh. 8.2 - Prob. 78CCRCh. 8.2 - Prob. 79CCRCh. 8.2 - Prob. 80CCRCh. 8.2 - Prob. 81CCRCh. 8.2 - Prob. 82CCRCh. 8.2 - Prob. 83CCRCh. 8.2 - Prob. 84CCRCh. 8.2 - Prob. 85CCRCh. 8.2 - Prob. 86CCRCh. 8.2 - Prob. 87CCRCh. 8.2 - Prob. 88CCRCh. 8.2 - Prob. 89CCRCh. 8.2 - Prob. 90CCRCh. 8.2 - Prob. 91CCRCh. 8.2 - Prob. 92CCRCh. 8.2 - Prob. 93CCRCh. 8.2 - Prob. 94CCRCh. 8.2 - Prob. 95CCRCh. 8.2 - Prob. 96CCRCh. 8.2 - Prob. 97CCRCh. 8.2 - Prob. 98CCRCh. 8.3 - Prob. 1GPCh. 8.3 - Prob. 2GPCh. 8.3 - Prob. 3GPCh. 8.3 - Prob. 4GPCh. 8.3 - Prob. 5GPCh. 8.3 - Prob. 6GPCh. 8.3 - Prob. 7IPCh. 8.3 - Prob. 8IPCh. 8.3 - Prob. 9IPCh. 8.3 - Prob. 10IPCh. 8.3 - Prob. 11IPCh. 8.3 - Prob. 12IPCh. 8.3 - Prob. 13IPCh. 8.3 - Prob. 14IPCh. 8.3 - Prob. 15IPCh. 8.3 - Prob. 16IPCh. 8.3 - Prob. 17IPCh. 8.3 - Prob. 18IPCh. 8.3 - Prob. 19IPCh. 8.3 - Prob. 20HPCh. 8.3 - Prob. 21HPCh. 8.3 - Prob. 22HPCh. 8.3 - Prob. 23HPCh. 8.3 - Prob. 24HPCh. 8.3 - Prob. 25STPCh. 8.3 - Prob. 26STPCh. 8.3 - Prob. 27STPCh. 8.3 - Prob. 28STPCh. 8.3 - Prob. 29CCRCh. 8.3 - Prob. 30CCRCh. 8.3 - Prob. 31CCRCh. 8.3 - Prob. 32CCRCh. 8.3 - Prob. 33CCRCh. 8.3 - Prob. 34CCRCh. 8.3 - Prob. 35CCRCh. 8.3 - Prob. 36CCRCh. 8.3 - Prob. 37CCRCh. 8.3 - Prob. 38CCRCh. 8.3 - Prob. 39CCRCh. 8.3 - Prob. 40CCRCh. 8.3 - Prob. 41CCRCh. 8.3 - Prob. 42CCRCh. 8.3 - Prob. 43CCRCh. 8.3 - Prob. 44CCRCh. 8.3 - Prob. 45CCRCh. 8.3 - Prob. 46CCRCh. 8.3 - Prob. 47CCRCh. 8.4 - Prob. 1GPCh. 8.4 - Prob. 2GPCh. 8.4 - Prob. 3GPCh. 8.4 - Prob. 4GPCh. 8.4 - Prob. 5GPCh. 8.4 - Prob. 6GPCh. 8.4 - Prob. 7GPCh. 8.4 - Prob. 8GPCh. 8.4 - Prob. 9GPCh. 8.4 - Prob. 10GPCh. 8.4 - Prob. 11GPCh. 8.4 - Prob. 12GPCh. 8.4 - Prob. 13GPCh. 8.4 - Prob. 14GPCh. 8.4 - Prob. 15IPCh. 8.4 - Prob. 16IPCh. 8.4 - Prob. 17IPCh. 8.4 - Prob. 18IPCh. 8.4 - Prob. 19IPCh. 8.4 - Prob. 20IPCh. 8.4 - Prob. 21IPCh. 8.4 - Prob. 22IPCh. 8.4 - Prob. 23IPCh. 8.4 - Prob. 24IPCh. 8.4 - Prob. 25IPCh. 8.4 - Prob. 26IPCh. 8.4 - Prob. 27IPCh. 8.4 - Prob. 28IPCh. 8.4 - Prob. 29IPCh. 8.4 - Prob. 30IPCh. 8.4 - Prob. 31IPCh. 8.4 - Prob. 32IPCh. 8.4 - Prob. 33IPCh. 8.4 - Prob. 34IPCh. 8.4 - Prob. 35IPCh. 8.4 - Prob. 36IPCh. 8.4 - Prob. 37IPCh. 8.4 - Prob. 38IPCh. 8.4 - Prob. 39IPCh. 8.4 - Prob. 40IPCh. 8.4 - Prob. 41IPCh. 8.4 - Prob. 42IPCh. 8.4 - Prob. 43IPCh. 8.4 - Prob. 44HPCh. 8.4 - Prob. 45HPCh. 8.4 - Prob. 46HPCh. 8.4 - Prob. 47HPCh. 8.4 - Prob. 48HPCh. 8.4 - Prob. 49STPCh. 8.4 - Prob. 50STPCh. 8.4 - Prob. 51STPCh. 8.4 - Prob. 52STPCh. 8.4 - Prob. 53CCRCh. 8.4 - Prob. 54CCRCh. 8.4 - Prob. 55CCRCh. 8.4 - Prob. 56CCRCh. 8.4 - Prob. 57CCRCh. 8.4 - Prob. 58CCRCh. 8.4 - Prob. 59CCRCh. 8.4 - Prob. 60CCRCh. 8.4 - Prob. 61CCRCh. 8.4 - Prob. 62CCRCh. 8.4 - Prob. 63CCRCh. 8.4 - Prob. 64CCRCh. 8.4 - Prob. 65CCRCh. 8.4 - Prob. 66CCRCh. 8.4 - Prob. 67CCRCh. 8.4 - Prob. 68CCRCh. 8.4 - Prob. 69CCRCh. 8.4 - Prob. 70CCRCh. 8.5 - Prob. 1GPCh. 8.5 - Prob. 2GPCh. 8.5 - Prob. 3GPCh. 8.5 - Prob. 4GPCh. 8.5 - Prob. 5GPCh. 8.5 - Prob. 6GPCh. 8.5 - Prob. 7GPCh. 8.5 - Prob. 8IPCh. 8.5 - Prob. 9IPCh. 8.5 - Prob. 10IPCh. 8.5 - Prob. 11IPCh. 8.5 - Prob. 12IPCh. 8.5 - Prob. 13IPCh. 8.5 - Prob. 14IPCh. 8.5 - Prob. 15IPCh. 8.5 - Prob. 16IPCh. 8.5 - Prob. 17IPCh. 8.5 - Prob. 18IPCh. 8.5 - Prob. 19IPCh. 8.5 - Prob. 20IPCh. 8.5 - Prob. 21IPCh. 8.5 - Prob. 22IPCh. 8.5 - Prob. 23IPCh. 8.5 - Prob. 24IPCh. 8.5 - Prob. 25IPCh. 8.5 - Prob. 26IPCh. 8.5 - Prob. 27IPCh. 8.5 - Prob. 28IPCh. 8.5 - Prob. 29IPCh. 8.5 - Prob. 30HPCh. 8.5 - Prob. 31HPCh. 8.5 - Prob. 32HPCh. 8.5 - Prob. 33HPCh. 8.5 - Prob. 34STPCh. 8.5 - Prob. 35STPCh. 8.5 - Prob. 36STPCh. 8.5 - Prob. 37STPCh. 8.5 - Prob. 38CCRCh. 8.5 - Prob. 39CCRCh. 8.5 - Prob. 40CCRCh. 8.5 - Prob. 41CCRCh. 8.5 - Prob. 42CCRCh. 8.5 - Prob. 43CCRCh. 8.5 - Prob. 44CCRCh. 8.5 - Prob. 45CCRCh. 8.5 - Prob. 46CCRCh. 8.5 - Prob. 47CCRCh. 8.5 - Prob. 48CCRCh. 8.5 - Prob. 49CCRCh. 8.5 - Prob. 50CCRCh. 8.5 - Prob. 51CCRCh. 8.5 - Prob. 52CCRCh. 8.5 - Prob. 53CCRCh. 8.6 - Prob. 1GPCh. 8.6 - Prob. 2GPCh. 8.6 - Prob. 3GPCh. 8.6 - Prob. 4GPCh. 8.6 - Prob. 5GPCh. 8.6 - Prob. 6GPCh. 8.6 - Prob. 7GPCh. 8.6 - Prob. 8GPCh. 8.6 - Prob. 9GPCh. 8.6 - Prob. 10GPCh. 8.6 - Prob. 11GPCh. 8.6 - Prob. 12IPCh. 8.6 - Prob. 13IPCh. 8.6 - Prob. 14IPCh. 8.6 - Prob. 15IPCh. 8.6 - Prob. 16IPCh. 8.6 - Prob. 17IPCh. 8.6 - Prob. 18IPCh. 8.6 - Prob. 19IPCh. 8.6 - Prob. 20IPCh. 8.6 - Prob. 21IPCh. 8.6 - Prob. 22IPCh. 8.6 - Prob. 23IPCh. 8.6 - Prob. 24IPCh. 8.6 - Prob. 25IPCh. 8.6 - Prob. 26IPCh. 8.6 - Prob. 27IPCh. 8.6 - Prob. 28IPCh. 8.6 - Prob. 29IPCh. 8.6 - Prob. 30IPCh. 8.6 - Prob. 31IPCh. 8.6 - Prob. 32IPCh. 8.6 - Prob. 33IPCh. 8.6 - Prob. 34IPCh. 8.6 - Prob. 35IPCh. 8.6 - Prob. 36IPCh. 8.6 - Prob. 37IPCh. 8.6 - Prob. 38IPCh. 8.6 - Prob. 39IPCh. 8.6 - Prob. 40HPCh. 8.6 - Prob. 41HPCh. 8.6 - Prob. 42HPCh. 8.6 - Prob. 43HPCh. 8.6 - Prob. 44HPCh. 8.6 - Prob. 45STPCh. 8.6 - Prob. 46STPCh. 8.6 - Prob. 47STPCh. 8.6 - Prob. 48STPCh. 8.6 - Prob. 49CCRCh. 8.6 - Prob. 50CCRCh. 8.6 - Prob. 51CCRCh. 8.6 - Prob. 52CCRCh. 8.6 - Prob. 53CCRCh. 8.6 - Prob. 54CCRCh. 8.6 - Prob. 55CCRCh. 8.6 - Prob. 56CCRCh. 8.6 - Prob. 57CCRCh. 8.6 - Prob. 58CCRCh. 8.6 - Prob. 59CCRCh. 8.6 - Prob. 60CCRCh. 8.6 - Prob. 61CCRCh. 8.6 - Prob. 62CCRCh. 8.6 - Prob. 63CCRCh. 8.7 - Prob. 1GPCh. 8.7 - Prob. 2GPCh. 8.7 - Prob. 3GPCh. 8.7 - Prob. 4GPCh. 8.7 - Prob. 5GPCh. 8.7 - Prob. 6GPCh. 8.7 - Prob. 7GPCh. 8.7 - Prob. 8GPCh. 8.7 - Prob. 9GPCh. 8.7 - Prob. 10GPCh. 8.7 - Prob. 11IPCh. 8.7 - Prob. 12IPCh. 8.7 - Prob. 13IPCh. 8.7 - Prob. 14IPCh. 8.7 - Prob. 15IPCh. 8.7 - Prob. 16IPCh. 8.7 - Prob. 17IPCh. 8.7 - Prob. 18IPCh. 8.7 - Prob. 19IPCh. 8.7 - Prob. 20IPCh. 8.7 - Prob. 21IPCh. 8.7 - Prob. 22IPCh. 8.7 - Prob. 23IPCh. 8.7 - Prob. 24IPCh. 8.7 - Prob. 25IPCh. 8.7 - Prob. 26IPCh. 8.7 - Prob. 27IPCh. 8.7 - Prob. 28IPCh. 8.7 - Prob. 29IPCh. 8.7 - Prob. 30IPCh. 8.7 - Prob. 31IPCh. 8.7 - Prob. 32IPCh. 8.7 - Prob. 33IPCh. 8.7 - Prob. 34IPCh. 8.7 - Prob. 35IPCh. 8.7 - Prob. 36IPCh. 8.7 - Prob. 37IPCh. 8.7 - Prob. 38IPCh. 8.7 - Prob. 39IPCh. 8.7 - Prob. 40IPCh. 8.7 - Prob. 41IPCh. 8.7 - Prob. 42IPCh. 8.7 - Prob. 43IPCh. 8.7 - Prob. 44IPCh. 8.7 - Prob. 45IPCh. 8.7 - Prob. 46IPCh. 8.7 - Prob. 47IPCh. 8.7 - Prob. 48IPCh. 8.7 - Prob. 49IPCh. 8.7 - Prob. 50IPCh. 8.7 - Prob. 51IPCh. 8.7 - Prob. 52IPCh. 8.7 - Prob. 53IPCh. 8.7 - Prob. 54IPCh. 8.7 - Prob. 55IPCh. 8.7 - Prob. 56IPCh. 8.7 - Prob. 57IPCh. 8.7 - Prob. 58IPCh. 8.7 - Prob. 59IPCh. 8.7 - Prob. 60HPCh. 8.7 - Prob. 61HPCh. 8.7 - Prob. 62HPCh. 8.7 - Prob. 63HPCh. 8.7 - Prob. 64HPCh. 8.7 - Prob. 65HPCh. 8.7 - Prob. 66STPCh. 8.7 - Prob. 67STPCh. 8.7 - Prob. 68STPCh. 8.7 - Prob. 69STPCh. 8.7 - Prob. 70CCRCh. 8.7 - Prob. 71CCRCh. 8.7 - Prob. 72CCRCh. 8.7 - Prob. 73CCRCh. 8.7 - Prob. 74CCRCh. 8.7 - Prob. 75CCRCh. 8.7 - Prob. 76CCRCh. 8.7 - Prob. 77CCRCh. 8.7 - Prob. 78CCRCh. 8.7 - Prob. 79CCRCh. 8.7 - Prob. 80CCRCh. 8.7 - Prob. 81CCRCh. 8.7 - Prob. 82CCRCh. 8.7 - Prob. 83CCRCh. 8.7 - Prob. 84CCRCh. 8.7 - Prob. 85CCRCh. 8.7 - Prob. 86CCRCh. 8.7 - Prob. 87CCRCh. 8.7 - Prob. 88CCRCh. 8.8 - Prob. 1GPCh. 8.8 - Prob. 2GPCh. 8.8 - Prob. 3GPCh. 8.8 - Prob. 4GPCh. 8.8 - Prob. 5GPCh. 8.8 - Prob. 6GPCh. 8.8 - Prob. 7GPCh. 8.8 - Prob. 8GPCh. 8.8 - Prob. 9GPCh. 8.8 - Prob. 10GPCh. 8.8 - Prob. 11GPCh. 8.8 - Prob. 12GPCh. 8.8 - Prob. 13GPCh. 8.8 - Prob. 14GPCh. 8.8 - Prob. 15GPCh. 8.8 - Prob. 16GPCh. 8.8 - Prob. 17GPCh. 8.8 - Prob. 18IPCh. 8.8 - Prob. 19IPCh. 8.8 - Prob. 20IPCh. 8.8 - Prob. 21IPCh. 8.8 - Prob. 22IPCh. 8.8 - Prob. 23IPCh. 8.8 - Prob. 24IPCh. 8.8 - Prob. 25IPCh. 8.8 - Prob. 26IPCh. 8.8 - Prob. 27IPCh. 8.8 - Prob. 28IPCh. 8.8 - Prob. 29IPCh. 8.8 - Prob. 30IPCh. 8.8 - Prob. 31IPCh. 8.8 - Prob. 32IPCh. 8.8 - Prob. 33IPCh. 8.8 - Prob. 34IPCh. 8.8 - Prob. 35IPCh. 8.8 - Prob. 36IPCh. 8.8 - Prob. 37IPCh. 8.8 - Prob. 38IPCh. 8.8 - Prob. 39IPCh. 8.8 - Prob. 40IPCh. 8.8 - Prob. 41IPCh. 8.8 - Prob. 42IPCh. 8.8 - Prob. 43IPCh. 8.8 - Prob. 44IPCh. 8.8 - Prob. 45IPCh. 8.8 - Prob. 46IPCh. 8.8 - Prob. 47IPCh. 8.8 - Prob. 48IPCh. 8.8 - Prob. 49IPCh. 8.8 - Prob. 50IPCh. 8.8 - Prob. 51IPCh. 8.8 - Prob. 52IPCh. 8.8 - Prob. 53IPCh. 8.8 - Prob. 54HPCh. 8.8 - Prob. 55HPCh. 8.8 - Prob. 56HPCh. 8.8 - Prob. 57HPCh. 8.8 - Prob. 58HPCh. 8.8 - Prob. 59STPCh. 8.8 - Prob. 60STPCh. 8.8 - Prob. 61STPCh. 8.8 - Prob. 62STPCh. 8.8 - Prob. 63CCRCh. 8.8 - Prob. 64CCRCh. 8.8 - Prob. 65CCRCh. 8.8 - Prob. 66CCRCh. 8.8 - Prob. 67CCRCh. 8.8 - Prob. 68CCRCh. 8.8 - Prob. 69CCRCh. 8.8 - Prob. 70CCRCh. 8.8 - Prob. 71CCRCh. 8.8 - Prob. 72CCRCh. 8.8 - Prob. 73CCRCh. 8.8 - Prob. 74CCRCh. 8.8 - Prob. 75CCRCh. 8.8 - Prob. 76CCRCh. 8.8 - Prob. 77CCRCh. 8.8 - Prob. 78CCRCh. 8.8 - Prob. 79CCRCh. 8.8 - Prob. 80CCRCh. 8.8 - Prob. 81CCRCh. 8.8 - Prob. 82CCRCh. 8 - Prob. 1CRCh. 8 - Prob. 2CRCh. 8 - Prob. 3CRCh. 8 - Prob. 4CRCh. 8 - Prob. 5CRCh. 8 - Prob. 6CRCh. 8 - Prob. 7CRCh. 8 - Prob. 8CRCh. 8 - Prob. 9CRCh. 8 - Prob. 10CRCh. 8 - Prob. 11CRCh. 8 - Prob. 12CRCh. 8 - Prob. 13CRCh. 8 - Prob. 14CRCh. 8 - Prob. 15CRCh. 8 - Prob. 16CRCh. 8 - Prob. 17CRCh. 8 - Prob. 18CRCh. 8 - Prob. 19CRCh. 8 - Prob. 20CRCh. 8 - Prob. 21CRCh. 8 - Prob. 22CRCh. 8 - Prob. 23CRCh. 8 - Prob. 24CRCh. 8 - Prob. 25CRCh. 8 - Prob. 26CRCh. 8 - Prob. 27CRCh. 8 - Prob. 28CRCh. 8 - Prob. 29CRCh. 8 - Prob. 30CRCh. 8 - Prob. 31CRCh. 8 - Prob. 32CRCh. 8 - Prob. 33CRCh. 8 - Prob. 34CRCh. 8 - Prob. 35CRCh. 8 - Prob. 36CRCh. 8 - Prob. 37CRCh. 8 - Prob. 38CRCh. 8 - Prob. 39CRCh. 8 - Prob. 40CRCh. 8 - Prob. 41CRCh. 8 - Prob. 42CRCh. 8 - Prob. 43CRCh. 8 - Prob. 44CRCh. 8 - Prob. 45CRCh. 8 - Prob. 46CRCh. 8 - Prob. 47CRCh. 8 - Prob. 48CRCh. 8 - Prob. 49CRCh. 8 - Prob. 50CRCh. 8 - Prob. 51CRCh. 8 - Prob. 52CRCh. 8 - Prob. 53CRCh. 8 - Prob. 54CRCh. 8 - Prob. 55CRCh. 8 - Prob. 56CRCh. 8 - Prob. 57CRCh. 8 - Prob. 58CRCh. 8 - Prob. 59CRCh. 8 - Prob. 60CR
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- (x)=2x-x2 2 a=2, b = 1/2, C=0 b) Vertex v F(x)=ax 2 + bx + c x= Za V=2.0L YEF(- =) = 4 b (글) JANUARY 17, 2025 WORKSHEET 1 Solve the following four problems on a separate sheet. Fully justify your answers to MATH 122 ล T earn full credit. 1. Let f(x) = 2x- 1x2 2 (a) Rewrite this quadratic function in standard form: f(x) = ax² + bx + c and indicate the values of the coefficients: a, b and c. (b) Find the vertex V, focus F, focal width, directrix D, and the axis of symmetry for the graph of y = f(x). (c) Plot a graph of y = f(x) and indicate all quantities found in part (b) on your graph. (d) Specify the domain and range of the function f. OUR 2. Let g(x) = f(x) u(x) where f is the quadratic function from problem 1 and u is the unit step function: u(x) = { 0 1 if x ≥0 0 if x<0 y = u(x) 0 (a) Write a piecewise formula for the function g. (b) Sketch a graph of y = g(x). (c) Indicate the domain and range of the function g. X фирм where u is the unit step function defined in problem 2. 3. Let…arrow_forwardQuestion 1arrow_forward"P3 Question 3: Construct the accessibility matrix Passociated with the following graphs, and compute P2 and identify each at the various two-step paths in the graph Ps P₁ P₂arrow_forward
- A cable television company estimates that with x thousand subscribers, its monthly revenue and cost (in thousands of dollars) are given by the following equations. R(x) = 45x - 0.24x2 C(x) = 257 + 13xarrow_forwardx³-343 If k(x) = x-7 complete the table and use the results to find lim k(x). X-7 x 6.9 6.99 6.999 7.001 7.01 7.1 k(x) Complete the table. X 6.9 6.99 6.999 7.001 7.01 7.1 k(x) (Round to three decimal places as needed.)arrow_forward(3) (4 points) Given three vectors a, b, and c, suppose: |bx c = 2 |a|=√√8 • The angle between a and b xc is 0 = 135º. . Calculate the volume a (bxc) of the parallelepiped spanned by the three vectors.arrow_forward
- Calculate these limits. If the limit is ∞ or -∞, write infinity or-infinity. If the limit does not exist, write DNE: Hint: Remember the first thing you check when you are looking at a limit of a quotient is the limit value of the denominator. 1. If the denominator does not go to 0, you should be able to right down the answer immediately. 2. If the denominator goes to 0, but the numerator does not, you will have to check the sign (±) of the quotient, from both sides if the limit is not one-sided. 3. If both the numerator and the denominator go to 0, you have to do the algebraic trick of rationalizing. So, group your limits into these three forms and work with them one group at a time. (a) lim t-pi/2 sint-√ sin 2t+14cos ² t 7 2 2 2cos t (b) lim sint + sin 2t+14cos = ∞ t-pi/2 2 2cos t (c) lim cost-√sin 2t+14cos² t = t-pi/2 2cos t (d) lim t→pi/2 cost+√ sin t + 14cos 2cos ² t = ∞ (e) lim sint-v sin 2 t + 14cos = 0 t-pi/2 (f) lim t-pi/2 sin t +√ sin 2sin 2 t 2 t + 14cos t 2sin t cost- (g)…arrow_forwardThink of this sheet of paper as the plane containing the vectors a = (1,1,0) and b = (2,0,0). Sketch the parallelogram P spanned by a and b. Which diagonal of P represents the vector a--b geometrically?arrow_forward(1) (14 points) Let a = (-2, 10, -4) and b = (3, 1, 1). (a) (4 points) Using the dot product determine the angle between a and b. (b) (2 points) Determine the cross product vector axb. (c) (4 points) Calculate the area of the parallelogram spanned by a and b. Justify your answer. 1arrow_forward
- (d) (4 points) Think of this sheet of paper as the plane containing the vectors a = (1,1,0) and b = (2,0,0). Sketch the parallelogram P spanned by a and b. Which diagonal of P represents the vector ab geometrically? d be .dx adjarrow_forward(2) (4 points) Find all vectors v having length 1 that are perpendicular to both =(2,0,2) and j = (0,1,0). Show all work. a=arrow_forwardFor the following function, find the full power series centered at a of convergence. 0 and then give the first 5 nonzero terms of the power series and the open interval = f(2) Σ 8 1(x)--(-1)*(3)* n=0 ₤(x) = + + + ++... The open interval of convergence is: 1 1 3 f(x)= = 28 3x6 +1 (Give your answer in help (intervals) .)arrow_forward
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