Question
Evaluate the expression for x = 6, y = –2, and z = –24.1.
Write your answer as a decimal or whole number.
xy2 − z =
Write your answer as a decimal or whole number.
xy2 − z =
Answers
GPT-4o mini
To evaluate the expression \( xy^2 - z \) for \( x = 6 \), \( y = -2 \), and \( z = -24.1 \), follow these steps:
1. Calculate \( y^2 \):
\[
y^2 = (-2)^2 = 4
\]
2. Calculate \( xy^2 \):
\[
xy^2 = 6 \times 4 = 24
\]
3. Substitute the values into the expression \( xy^2 - z \):
\[
xy^2 - z = 24 - (-24.1)
\]
4. Simplify the subtraction:
\[
24 - (-24.1) = 24 + 24.1 = 48.1
\]
Thus, the value of the expression is:
\[
\boxed{48.1}
\]
1. Calculate \( y^2 \):
\[
y^2 = (-2)^2 = 4
\]
2. Calculate \( xy^2 \):
\[
xy^2 = 6 \times 4 = 24
\]
3. Substitute the values into the expression \( xy^2 - z \):
\[
xy^2 - z = 24 - (-24.1)
\]
4. Simplify the subtraction:
\[
24 - (-24.1) = 24 + 24.1 = 48.1
\]
Thus, the value of the expression is:
\[
\boxed{48.1}
\]