Vaughn Rogers
09/03/2024 · High School
Evaluate the expression \( 2 x^{2}-y^{1}+3 x^{0} \) for \( x=4 \) and \( y=7 \)
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Tutor-Verified Answer
Step-by-step Solution
To evaluate the expression \( 2 x^{2} - y^{1} + 3 x^{0} \) for \( x = 4 \) and \( y = 7 \), we will substitute the values of \( x \) and \( y \) into the expression.
1. Substitute \( x = 4 \) and \( y = 7 \):
\[
2(4^{2}) - 7^{1} + 3(4^{0})
\]
2. Calculate \( 4^{2} \):
\[
4^{2} = 16
\]
3. Calculate \( 7^{1} \):
\[
7^{1} = 7
\]
4. Calculate \( 4^{0} \):
\[
4^{0} = 1
\]
5. Substitute these values back into the expression:
\[
2(16) - 7 + 3(1)
\]
6. Calculate \( 2(16) \):
\[
2(16) = 32
\]
7. Calculate \( 3(1) \):
\[
3(1) = 3
\]
8. Now substitute these results into the expression:
\[
32 - 7 + 3
\]
9. Perform the subtraction and addition:
\[
32 - 7 = 25
\]
\[
25 + 3 = 28
\]
Thus, the value of the expression \( 2 x^{2} - y^{1} + 3 x^{0} \) for \( x = 4 \) and \( y = 7 \) is \( \boxed{28} \).
Quick Answer
The value of the expression \( 2 x^{2} - y^{1} + 3 x^{0} \) for \( x = 4 \) and \( y = 7 \) is 28.
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