Question

Complete the square to determine the maximum or minimum value of the function defined by the expression. −x2 − 10x + 14 A) minimum value at 25 B) maximum value at 39 C) maximum value at −5 D) minimum value at −39

Answer 1

B)maximum value at 39

Answer 2

Answer:

B) maximum value at 39.

Step-by-step explanation:

maximum value at 39

First, set the expression equal to 0.

−x2 − 10x + 14 = 0

Complete the square.

−x2 − 10x = −14

−(x2 + 10x) = −14

−(x2 + 10x + 25) = −39

−(x + 5)2 + 39= 0.

Therefore, the maximum value is 39.