Algebra 1

Carter, Cuevas, Day, Holiday, Luchin

$Math Studyset 91影视 Explanations$ Math

Student Edition 路 801 pages

ISBN: 9780078884801

Chapter 2: Q15. (page 106)

Evaluate each expression if $a = 鈭� 2, b = 鈭� 3, c = 2$ , $x = 2.1, y = 3$ , and $z = 鈭� 4.2$ .
$鈭� |5 a + c| + |3 y + 2 z|$

Short Answer

Expert verified

The expression $鈭� |5 a + c| + |3 y + 2 z|$ is equal to -7.4.

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 $鈭� |5 a + c| + |3 y + 2 z|$ substitute -2 for a, -3 for b, 2 for c, 2.1 for x, 3 for y and -4.2 for z.

$鈭� |5 a + c| + |3 y + 2 z| = 鈭� |5 脳 (鈭� 2) + 2| + |3 脳 3 + 2 脳 (鈭� 4.2)|$

Step-3. Simplify the expression.

Solve the expression as per order of operations.

$鈭� |5 a + c| + |3 y + 2 z| = 鈭� |5 脳 (鈭� 2) + 2| + |3 脳 3 + 2 脳 (鈭� 4.2)| = 鈭� |鈭� 10 + 2| + |3 脳 3 鈭� 8.4| = 鈭� |鈭� 8| + |9 鈭� 8.4| = 鈭� |鈭� 8| + |0.6| = 鈭� 8 + 0.6 = 鈭� 7.4$

Therefore, the value expression is $鈭� 7.4$ .

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91影视

Evaluate each expression if $a = 鈭� 2, b = 鈭� 3, c = 2$ , $x = 2.1, y = 3$ , and $z = 鈭� 4.2$ .
$鈭� |5 a + c| + |3 y + 2 z|$

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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91影视

Evaluate each expression if a=鈭�2,b=鈭�3,c=2, x=2.1,y=3, and z=鈭�4.2.鈭�5a+c+3y+2z

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

Discrete Mathematics

Logic and Functions

Applied Mathematics

Statistics

Pure Maths

Study anywhere. Anytime. Across all devices.

Evaluate each expression if $a = 鈭� 2, b = 鈭� 3, c = 2$ , $x = 2.1, y = 3$ , and $z = 鈭� 4.2$ .
$鈭� |5 a + c| + |3 y + 2 z|$