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katrin [286]
2 years ago
15

Let ​f(x)=x2+10x+37​ .

Mathematics
1 answer:
Gnesinka [82]2 years ago
7 0

Answer:

f(x) = (x+5)^2 +12

The minimum value is 12

Step-by-step explanation:

f(x)=x^2+10x+37

The vertex will be the minimum value since this is an upwards opening parabola

Completing the square by taking the coefficient of x and squaring it adding it and subtracting it

f(x) = x^2+10x  + (10/2) ^2 - (10/2) ^2+37

f(x) = ( x^2 +10x +25) -25+37

    = ( x+5) ^2+12

Th is in vertex form y = ( x-h)^2 +k  where (h,k) is the vertex

The vertex is (-5,12)

The minimum is the y value or 12

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What is the median of 137 115 104 to 63 and 98
Romashka-Z-Leto [24]

Answer:

104

Step-by-step explanation:

put them from  less to highest  then find the middle number

5 0
3 years ago
*NO LINKS HELP ASAP*
vitfil [10]

Answer:

28 i think.

Step-by-step explanation:

A week has 7 days so 7×2 is 14 and thats the same for the other week. Add those together and you'll get 28.

8 0
2 years ago
H and J are both between G and K such that GH = JK and H is between G and J.
DIA [1.3K]

Answer:

32

Step-by-step explanation:

So the order of the points is: GHJK

GH = x+10 =JK

HJ=8

JK=2x-4

JK = x+10=2x-4

x+10=2x-4

10+4=2x-x

x=14

GH= 14+10 =24

GJ = GH +HJ = 24+ 8=32

6 0
3 years ago
Need a quick answer please
Lesechka [4]

Answer:

AC = 38

Step-by-step explanation:

AB = BC

4 - 5x = 2x + 25

-7x = 21

x = -3

AC = 2(BC) = 2(2x + 25) = 4x + 50 = 4(-3) + 50 = -12 + 50 = 38

AC = 38

4 0
3 years ago
<img src="https://tex.z-dn.net/?f=5x%20%2B%209%20%20%3D%203x%20%2B%201" id="TexFormula1" title="5x + 9 = 3x + 1" alt="5x + 9 =
marissa [1.9K]

Answer:

x = -4

Step-by-step explanation:

Take out 3x from both sides:

5x - 3x    =    3x - 3x

2x           =   0

2x + 9 = 1

Take out 9 from both sides:

9 - 9             =       1 - 9

0                  =      -8

Divide 2 from both sides:

\frac{2x}{2} = \frac{-8}{2}

x = -4

6 0
3 years ago
Read 2 more answers
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