Algebra 1
1st Edition
ISBN: 9780078884801
Author: McGraw-Hill/Glencoe
Publisher: Glencoe/McGraw-Hill School Pub Co
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Question
Chapter 5.1, Problem 45PPS
(a)
To determine
Draw a picture to represent this situation.
(a)
Expert Solution
Answer to Problem 45PPS
The right side must be down than the right side
Explanation of Solution
Given:
In a balance have 12 pounds on the left side and 18 pounds on the right side.
Concept Used:
As 12 lbs is less than 18 lbs. So the right side must be down than the right side.
Thus, the right side must be down than the right side as 12pounds on the left side and 18 pounds on the right side
(b)
To determine
Write an inequality.
(b)
Expert Solution
Answer to Problem 45PPS
12 lbs < 18lbs
Explanation of Solution
Given:
In a balance have 12 pounds on the left side and 18 pounds on the tight side.
Concept Used:
Left side 12 lbs is less than the right side 18 lbs.
Inequality: 12 lbs < 18lbs
Calculation:
Inequality: 12 lbs < 18lbs
Thus, we can write the inequality 12 lbs < 18lbs
(c)
To determine
Create a table showing the result of doubling, tripling or quadrupling the weight of each side of the balance.
Create a second table showing the result of reducing the weight on each side of the balance by a factor of 12 ; 13 and 14 . Include a column in each table for the inequality representing each situation.
(c)
Expert Solution
Answer to Problem 45PPS
Explanation of Solution
Given: In a balance have 12 pounds on the left side and 18 pounds on the tight side.
Concept Used:
Make two tables to represent the situation doubling, tripling or quadrupling the weight of each side of the balance and by a factor of 12 ; 13 and 14 .
Calculation:
Create a table showing the result of doubling, tripling or quadrupling the weight of each side of the balance.
| x | Original | 12 Pound | < | 18 Pound |
| x2 | Doubling | 24 Pound | < | 36 Pound |
| x3 | Tripling | 36 Pound | < | 54 Pound |
| x4 | Quadrupling | 48 Pound | < | 72 Pound |
Create a second table showing the result of reducing the weight on each side of the balance by a factor of 12 ; 13 and 14 . Include a column in each table for the inequality representing each situation.
| x | Original | 12 Pound | < | 18 Pound |
| x12 | by a factor of 12 | 6 Pound | < | 9 Pound |
| x13 | by a factor of 13 | 4 Pound | < | 6 Pound |
| x14 | by a factor of 14 | 3 Pound | < | 4.5 Pound |
Thus, the two tables represent the situations.
(d)
To determine
Describe the effect multiplying or dividing each side of an inequality by the same positive value has on the inequality.
(d)
Expert Solution
Explanation of Solution
Given: In a balance have 12 pounds on the left side and 18 pounds on the tight side.
Concept Used:
If a true inequality is multiplied by a positive number, the resulting inequality is also true.
If a true inequality is divided by a positive number, the resulting inequality is also true.
Thus, if a true inequality is multiplied by a positive number, the resulting inequality is also true and if a true inequality is divided by a positive number, the resulting inequality is also true.
Chapter 5 Solutions
Algebra 1
Ch. 5.1 - Prob. 1ACYPCh. 5.1 - Prob. 1BCYPCh. 5.1 - Prob. 2CYPCh. 5.1 - Prob. 3ACYPCh. 5.1 - Prob. 3BCYPCh. 5.1 - Prob. 4CYPCh. 5.1 - Prob. 1CYUCh. 5.1 - Prob. 2CYUCh. 5.1 - Prob. 3CYUCh. 5.1 - Prob. 4CYU
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Prob. 45HPCh. 5.5 - Prob. 1ACYPCh. 5.5 - Prob. 1CYUCh. 5.5 - Prob. 2CYUCh. 5.5 - Prob. 3CYUCh. 5.5 - Prob. 4CYUCh. 5.5 - Prob. 5CYUCh. 5.5 - Prob. 6CYUCh. 5.5 - Prob. 7CYUCh. 5.5 - Prob. 8PPSCh. 5.5 - Prob. 9PPSCh. 5.5 - Prob. 10PPSCh. 5.5 - Prob. 11PPSCh. 5.5 - Prob. 12PPSCh. 5.5 - Prob. 13PPSCh. 5.5 - Prob. 14PPSCh. 5.5 - Prob. 15PPSCh. 5.5 - Prob. 16PPSCh. 5.5 - Prob. 17PPSCh. 5.5 - Prob. 18PPSCh. 5.5 - Prob. 19PPSCh. 5.5 - Prob. 21PPSCh. 5.5 - Prob. 22PPSCh. 5.5 - Prob. 23PPSCh. 5.5 - Prob. 30PPSCh. 5.5 - Prob. 31PPSCh. 5.5 - Prob. 42PPSCh. 5.5 - Prob. 46HPCh. 5.5 - Prob. 47HPCh. 5.5 - Prob. 48STPCh. 5.5 - Prob. 49STPCh. 5.5 - Prob. 50STPCh. 5.5 - Prob. 51STPCh. 5.5 - Prob. 52SRCh. 5.5 - Prob. 53SRCh. 5.5 - Prob. 54SRCh. 5.5 - Prob. 55SRCh. 5.5 - Prob. 56SRCh. 5.5 - Prob. 57SRCh. 5.5 - Prob. 58SRCh. 5.5 - Prob. 59SRCh. 5.5 - Prob. 60SRCh. 5.5 - Prob. 61SCh. 5.5 - Prob. 62SCh. 5.5 - Prob. 63SCh. 5.5 - Prob. 64SCh. 5.5 - Prob. 65SCh. 5.5 - Prob. 66SCh. 5.5 - Prob. 67SCh. 5.5 - Prob. 68SCh. 5.6 - 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- 3. Let u = 3/5 √ = and = -4/5 -() Define V span{ū, }. (a) (b) (c) Show that {u, } is orthonormal and forms a basis for V. Explicitly compute Projy w. Explicitly give a non-zero vector in V+.arrow_forwardIs 1.1 0.65 -3.4 0.23 0.4 -0.44 a basis for R3? You must explain your answer 0arrow_forwardFind the values of x and y in the following scalar multiplication. 8 2 x 1 3 || y = 9 LY_ Show Calculatorarrow_forward
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