Question

1. what is the value of the expression $2z^{2}-z + 4$ when $z = 2$?

Explanation:

Step1: Substitute z = 2

Substitute \(z = 2\) into \(2z^{2}-z + 4\).
\[2\times(2)^{2}-2 + 4\]

Step2: Calculate exponent

Calculate \((2)^{2}=4\).
\[2\times4-2 + 4\]

Step3: Calculate multiplication

Calculate \(2\times4 = 8\).
\[8-2 + 4\]

Step4: Calculate subtraction and addition

First \(8-2=6\), then \(6 + 4=10\).
\[10\]

Answer:

10