Determine the value of yy, if xx is 1010.
y, equals, open vertical bar, x, close vertical bar, minus, 5
y=
∣x∣−5

The equation for \( y \) is given by:

\[
y = |x| - 5
\]

You're asked to determine the value of \( y \) when \( x = 1010 \).

1. First, calculate the absolute value of \( x \):
\[
|x| = |1010| = 1010
\]

2. Now, subtract 5 from the absolute value of \( x \):
\[
y = 1010 - 5 = 1005
\]

So, the value of \( y \) when \( x = 1010 \) is:
\[
y = 1005
\]

Would you like further details on absolute values or have any questions?

### Related Questions:
1. What is the value of \( y \) if \( x = -2020 \)?
2. How does the graph of \( y = |x| - 5 \) look compared to \( y = x - 5 \)?
3. What happens if \( x = 0 \) in the equation \( y = |x| - 5 \)?
4. How does the absolute value function affect the output when \( x \) is negative?
5. Can the value of \( y \) ever be negative in this equation?

**Tip**: The absolute value of a number is always non-negative, which means it represents the distance of that number from zero on the number line.

Determine the value of y, if x is 1010. The equation is y = |x| - 5.

Learn how to calculate the value of y when x equals 1010 in the absolute value equation y = |x| - 5. This problem introduces key algebraic concepts such as absolute value and linear equations. Suitable for middle school students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation