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Genrish500 [490]
2 years ago
7

Complete the square to find the y-value for the minimum value of the function-f(x)=x^2-8x+28

Mathematics
1 answer:
N76 [4]2 years ago
6 0

9514 1404 393

Answer:

  12

Step-by-step explanation:

The square can be completed by adding and subtracting the square of half the linear term's coefficient.

  f(x) = x^2 -8x +(-8/2)^2 +28 -(-8/2)^2

  f(x) = (x^2 -8x +16) +(28 -16)

  f(x) = (x -4)^2 +12

The minimum value of the function is 12, when the squared term is zero.

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To convert a fraction to a decimal you move the decimal point two spaces to the left

3 0
3 years ago
Please help!! 30 points
Stels [109]

Answer:

x = 4

31x + 6 = 130

12x + 2 = 50

Step-by-step explanation:

two angles side by side are equal to 180.

(31x + 6) + (12x + 2) = 180

43x + 8 = 180

43x = 172

x = 4

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8 0
3 years ago
What is x in the equation 4x - 12 equals -7x - 111
lukranit [14]
4x - 12 = -7x - 111
11x = -99
x = -9
5 0
3 years ago
Read 2 more answers
Angles a and b are complementary angles symmetry of angle a is 28° more than the measure of angle b find the missing angle measu
scoray [572]

Answer:

31 , 59

Step-by-step explanation:

a = b +28

a + b = 90 {Complementary}

b + 28 + b = 90    {Combine like terms}

2b + 28 = 90       {Subtract 28 form both sides}

       2b  = 90 - 28

       2b = 62      {Divide both sides by 2}

        b = 62/2

       b = 31

a = 31 + 28

a = 59

7 0
3 years ago
A disco ball is shaped like a sphere with a diameter of 16 inches. To the nearest square inch, what is the surface of the disco
Mademuasel [1]
If the diameter is 16 inches, then its radius is half that, r = 8.

\bf \textit{surface area of a sphere}\\\\
A=4\pi r^2\quad 
\begin{cases}
r=radius\\
-----\\
r=8
\end{cases}\implies A=4\pi 8^2
5 0
3 years ago
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