Chapter 2: Q20. (page 106)

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

Short Answer

Expert verified

The expression $- 3 |z| + 2 (a + y)$ is equal to $- 10.6$ .

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 $- 3 |z| + 2 (a + y)$ substitute -2 for a, -3 for b, 2 for c, 2.1 for x, 3 for y and -4.2 for z.

$- 3 |z| + 2 (a + y) = - 3 |- 4.2| + 2 (- 2 + 3)$

Step-3. Simplify the expression.

Solve the expression as per order of operations.

$- 3 |z| + 2 (a + y) = - 3 |- 4.2| + 2 (- 2 + 3) = - 3 \times |- 4.2| + 2 (1) = - 3 \times 4.2 + 2 = - 12.6 + 2 = - 10.6$

Therefore, the value expression is $- 10.6$ .

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

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.−3z+2a+y

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

Statistics

Pure Maths

Applied Mathematics

Theoretical and Mathematical Physics

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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 $z = - 4.2$ .
$- 3 |z| + 2 (a + y)$