Mathematics For Machine Technology
Mathematics For Machine Technology
8th Edition
ISBN: 9781337798310
Author: Peterson, John.
Publisher: Cengage Learning,
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Chapter 39, Problem 21A
To determine

(a)

The value of 2xy+7.

Expert Solution
Check Mark

Answer to Problem 21A

The value of 2xy+7 is 151.

Explanation of Solution

Given:

The value of x is 12 and y is 6.

Calculation:

The algebraic expression is given below:

  2xy+7  ... (1)

Substitute 12 for x and 6 for y in equation (1) as follows:

  2xy+7=2(12×6)+7=2×72+7=144+7=151

Thus, the value of 2xy+7 is 151.

Conclusion:

The value of 2xy+7 is 151.

To determine

(b)

The value of 3x2y+xy.

Expert Solution
Check Mark

Answer to Problem 21A

The value of 3x2y+xy is 96.

Explanation of Solution

Given:

The value of x is 12 and y is 6.

Calculation:

The algebraic expression is given below:

  3x2y+xy  ... (1)

Substitute 12 for x and 6 for y in equation (1) as follows:

  3x2y+xy=(3×12)(2×6)+(12×6)=3612+72=24+72=96

Thus, the value of 3x2y+xy is 96.

Conclusion:

The value of 3x2y+xy is 96.

To determine

(c)

The value of 5xy2y8xxy.

Expert Solution
Check Mark

Answer to Problem 21A

The value of 5xy2y8xxy is 14.5.

Explanation of Solution

Given:

The value of x is 12 and y is 6.

Calculation:

The algebraic expression is given below:

  5xy2y8xxy  ... (1)

Substitute 12 for x and 6 for y in equation (1) as follows:

  5xy2y8xxy=( 5×12×6)( 2×6)( 8×12)( 12×6)=360129672=34824=14.5

Thus, the value of 5xy2y8xxy is 14.5.

Conclusion:

The value of 5xy2y8xxy is 14.5.

To determine

(d)

The value of 4x4y3.

Expert Solution
Check Mark

Answer to Problem 21A

The value of 4x4y3 is 8.

Explanation of Solution

Given:

The value of x is 12 and y is 6.

Calculation:

The algebraic expression is given below:

  2xy+7  ... (1)

Substitute 12 for x and 6 for y in equation (1) as follows:

  4x4y3=( 4×12)( 4×6)3=48243=243=8

Thus, the value of 4x4y3 is 8.

Conclusion:

The value of 4x4y3 is 8.

To determine

(e)

The value of 6x3y+xy.

Expert Solution
Check Mark

Answer to Problem 21A

The value of 6x3y+xy is 126.

Explanation of Solution

Given:

The value of x is 12 and y is 6.

Calculation:

The algebraic expression is given below:

  6x3y+xy  ... (1)

Substitute 12 for x and 6 for y in equation (1) as follows:

  6x3y+xy=(6×12)(3×6)+(12×6)=7218+72=14418=126

Thus, the value of 6x3y+xy is 126.

Conclusion:

The value of 6x3y+xy is 126.

To determine

(f)

The value of x2y2.

Expert Solution
Check Mark

Answer to Problem 21A

The value of x2y2 is 108.

Explanation of Solution

Given:

The value of x is 12 and y is 6.

Calculation:

The algebraic expression is given below:

  x2y2  ... (1)

Substitute 12 for x and 6 for y in equation (1) as follows:

  x2y2=12262=(12×12)(6×6)=14436=108

Thus, the value of x2y2 is 108.

Conclusion:

The value of x2y2 is 108.

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Chapter 39 Solutions

Mathematics For Machine Technology

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