Q48. Evaluate each expression if聽w=6... [FREE SOLUTION]

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Chapter 1: Q48. (page 9)

Evaluate each expression if $w = 6, x = 0.4, y = \frac{1}{2},$ and $z = - 3$
48. ${(x - y)}^{2} - 2 w z$

Short Answer

Expert verified

Expression ${(x - y)}^{2} - 2 w z$ results into $36.01$

Step by step solution

- Order of simplification

To evaluate any expression involving more than one operation, follow the below order of operations:

First evaluate expressions inside grouping symbols like parentheses ( ) or brackets [ ].
Evaluate the exponents.
Perform Multiplication and division from left to right.
Perform addition and subtraction from left to right.

- Substitute given values

Substitute $\frac{1}{2}$ for $y$ , $- 3$ for z, 6 for $w$ and $0.4$ for $x$ into given expression

${(x 鈭� y)}^{2} 鈭� 2 w z = {(0.4 鈭� \frac{1}{2})}^{2} 鈭� 2 脳 6 脳 (鈭� 3)$

- Simplify 0.4-122-2×6×-3

To evaluate the value of the given expression, first simplify the expression inside the parenthesis and then expand the exponent.
Multiply 2 with w and then with z
Finally subtract resulting terms from left to right
$\begin{matrix} {(0.4 鈭� \frac{1}{2})}^{2} 鈭� 2 脳 6 脳 (鈭� 3) = {(鈭� 0.1)}^{2} 鈭� 12 (鈭� 3) \\ = 0.01 + 36 \\ = 36.01 \end{matrix}$
Thus, value of ${(x - y)}^{2} - 2 w z$ is $36.01$

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91影视

Evaluate each expression if $w = 6, x = 0.4, y = \frac{1}{2},$ and $z = - 3$
48. ${(x - y)}^{2} - 2 w z$

Short Answer

Step by step solution

- Order of simplification

- Substitute given values

- Simplify 0.4-122-2×6×-3

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91影视

Evaluate each expression ifw=6,x=0.4,y=12, andz=-348.x-y2-2wz

Short Answer

Step by step solution

- Order of simplification

- Substitute given values

- Simplify 0.4-122-2×6×-3

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Discrete Mathematics

Calculus

Logic and Functions

Probability and Statistics

Applied Mathematics

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

Evaluate each expression if $w = 6, x = 0.4, y = \frac{1}{2},$ and $z = - 3$
48. ${(x - y)}^{2} - 2 w z$