Chapter 2: Q18. (page 106)

Evaluate each expression if $a = - 2, b = - 3, c = 2$ , $x = 2.1, y = 3$ , and $z = - 4.2$ .
$3 |3 b - 8 c| - 3$

Short Answer

Expert verified

The expression $3 |3 b - 8 c| - 3$ is equal to 72.

Step by step solution

Step-1. Define absolute value expression.

Absolute values define an upper and lower range in which a value must lie.

Step-2. Substitute the variables.

In order to evaluate the expression $3 |3 b - 8 c| - 3$ substitute -2 for a, -3 for b, 2 for c, 2.1 for x, 3 for y and for z.

$3 |3 b - 8 c| - 3 = 3 |3 (- 3) - 8 \times 2| - 3$

Step-3. Simplify the expression.

Solve the expression as per order of operations.

$3 |3 b - 8 c| - 3 = 3 |3 (- 3) - 8 \times 2| - 3 = 3 |- 9 - 8 \times 2| - 3 = 3 |- 9 - 16| - 3 = 3 |- 25| - 3 = 3 \times 25 - 3 = 75 - 3 = 72$

Therefore, the value expression is 72.

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Evaluate each expression if $a = - 2, b = - 3, c = 2$ , $x = 2.1, y = 3$ , and $z = - 4.2$ .
$3 |3 b - 8 c| - 3$

Short Answer

Step by step solution

Step-1. Define absolute value expression.

Step-2. Substitute the variables.

Step-3. Simplify the expression.

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Evaluate each expression if a=−2,b=−3,c=2, x=2.1,y=3, and z=−4.2.33b−8c−3

Short Answer

Step by step solution

Step-1. Define absolute value expression.

Step-2. Substitute the variables.

Step-3. Simplify the expression.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Mechanics Maths

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Calculus

Study anywhere. Anytime. Across all devices.

Evaluate each expression if $a = - 2, b = - 3, c = 2$ , $x = 2.1, y = 3$ , and $z = - 4.2$ .
$3 |3 b - 8 c| - 3$