The number to be added to the blank should be 9.
According to the statement
we have to find the number which is missing from the given expression.
So, For this purpose, We know that the
Expression in math is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
The given function is f(x) = 4(x² − 6x + ____) + 20. To complete the expression, complete the square of the one inside the parentheses. This is done by dividing the coefficient of x with 2 and then raising it to two.
-6/2 = -3
(-3)² = 9
Therefore, the number to be added to the blank should be 9.
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Question:
In the function f(x) = 4(x^2 − 6x + ____) + 20, what number belongs in the blank to complete the square?
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