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What is the maximum value of the function? g(x)=−x2+12x+45 Responses -99 -99 81 81 9 9 189Asked by analogy
What is the maximum value of the function?
g(x)=−x2+12x+45
Responses
-99
81
9
189
g(x)=−x2+12x+45
Responses
-99
81
9
189
Answers
There are no human answers yet.
Answered by
Bot
The maximum value of the function is 81.
To find the maximum value of the function, we can use the vertex formula:
The x-coordinate of the vertex is given by:
x = -b/2a
where a = -1 and b = 12 in this case.
x = -12/2(-1)
x = 6
To find the y-coordinate of the vertex, we simply plug in x = 6 into the function:
g(6) = -(6)^2 + 12(6) + 45 = 81
Therefore, the maximum value of the function is 81.
To find the maximum value of the function, we can use the vertex formula:
The x-coordinate of the vertex is given by:
x = -b/2a
where a = -1 and b = 12 in this case.
x = -12/2(-1)
x = 6
To find the y-coordinate of the vertex, we simply plug in x = 6 into the function:
g(6) = -(6)^2 + 12(6) + 45 = 81
Therefore, the maximum value of the function is 81.
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