Final answer:
To evaluate the expression 3(x-1)²+2x-7 for x=3, begin by substituting 3 for x, and then simplify according to the order of operations, finally obtaining an answer of 11.
Step-by-step explanation:
To evaluate the expression 3(x-1)²+2x-7 for x=3, the first step is to substitute the value of x into the expression. Therefore, the first step is to replace x with 3 wherever x appears in the expression.
After substitution, we simplify the expression step by step, following the order of operations, which are: parentheses, exponents, multiplication and division (from left to right), and addition and subtraction (from left to right). This process is crucial to accurately compute the value of the expression.
Let's begin by substituting x with 3:
Replace x in the expression: 3(3-1)²+2(3)-7
Solve inside the parentheses: 3(2)²+6-7
Apply the exponent: 3(4)+6-7
Multiply: 12+6-7
Finally, add and subtract: 18-7, which equals 11
The final answer to the expression for x=3 is 11.