The given equation (x²+6x+13) gives maximum value when the value of x is 13. The correct option will be C.
<h3>What is Substitution?</h3>
Substitution is the replacement of a given variable with the numerical values. Substitute all the given values of x in the equation x²+6x+13:
A. x = 6
Substitute the value of x = 6,
x²+6x+13 = (6)²+6×6+13 = 36+36+13 = 85
B. x = -3
Substitute the value of x = -3,
x²+6x+13 = (-3)²+6×(-3)+13 = 9+(-18)+13 = 4
C. x = 13
Substitute the value of x = 13,
x²+6x+13 = (13)²+6×13+13 = 169+78+13 = 260
D. x = 3
Substitute the value of x = 3,
x²+6x+13 = (3)²+6×3+13 = 9+18+13 = 40
260 is greater than all the three other options. Therefore, C is the correct option.
Learn more about substitution of value here:
brainly.com/question/26302227
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