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Deffense [45]
3 years ago
10

Complete the square to determine the minimum or maximum value of the function defined by the expression. −x2 + 18x − 99

Mathematics
2 answers:
Leya [2.2K]3 years ago
6 0
Given the expression:
-x^2+18x-99
to solve by completing squares we proceed as follows:
-x^2+18x-99=0
this can be written as:
-x^2+18x=99
x^2-18x=-99.......i
but
c=(-b/2)²
Hence:
c=(-(-18)/2)²=81
adding 81 in both sides of i we get:
x^2-18x+81=-99+81
factorizing the quadratic we obtain:
(x-9)(x-9)=-18
thus
(x-9)²+18=0
the above takes the vertex form of :
y=(x-k)²+h
where (k,x) is the vertex:
the vertex of our expression is:
(9,18)
hence the maximum point is at (9,18)
NOTE: The vertex gives the maximum point because, from the expression we see that the coefficient of the term that has the highest degree is a negative, and since our polynomial is a quadratic expression then our graph will face down, and this will make the vertex the maximum point.
Serggg [28]3 years ago
4 0

Answer:

answer is C hope you have a good day

Step-by-step explanation:

it is Maximum -18

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svlad2 [7]

Answer:

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7 0
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Can someone help me here ASAP? this question is worth 20 points. will mark the brainliest, thank you so much in advanced.
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Answer:

1. a) (1-1) (1-2) (1-3) (2-1) (2-2) (3-1)

2. a) (5-1) (5-2) (5-3) (5-4) (5-5) (5-6)

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Step-by-step explanation:

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3 0
3 years ago
Determine the slope of the line that has the following coordinates: (1.5, 6) (3.75, -12)
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Answer:

= -18/2.25

Step-by-step explanation:

We can find the slope by using the following

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   = (-12-6)/(3.75 - 1.5)

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