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Irina-Kira [14]
3 years ago
15

C(x)=x^2+6x+14 find vertex form

Mathematics
1 answer:
nalin [4]3 years ago
6 0

Answer:

c(x)=(x+3)^2+5

Step-by-step explanation:

To complete the square, the same value needs to be added to both sides.

So, to complete the square x^2+6x+9=(x+3)^2 add 9 to the expression

C(x) =x^2 +6x + 9 + 14

Since 9 was added to the right-hand side also add 9 to the left-hand side

C(x) +9= x^2 +6x + 9 + 14

Using a^2 + 2ab + b^2=(a+b)^2, factor the expression

C(x)+9= (x+3)^2 +14

Move constant to the right-hand side and change its sign

C(x)=(x+3)^2 +14 - 9

Subtract the numbers

C(x)= (x+3)^2 +5

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Buy stuff and sell them at a higher price

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The cows at the farm eat 5 3/5 hay everyday.The horses eat 1 5/6 as much as the cows. How bales of hay are the horses fed each d
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Answer:

13 2/9

Step-by-step explanation:

Cows eats=5 3/5 Hays everyday

Horses eats=1 5/6 as much as the cow

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= 308/36+28/6

=308+168/36

=476/36

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5 0
2 years ago
A museum has a wax sculpture of a historical village. The scale is 1.5:8. If the height of a hut in the sculpture is 5 feet, how
Oksi-84 [34.3K]

Let us say that x is the real height of the original hut, therefore we can establish the equation:

5 : x = 1.5 : 8

5 / x = 1.5 / 8

 

Solving for x:

x = 5 * 8 / 1.5

x = 40 / 1.5

<span>x = 26.67 ft</span>

4 0
3 years ago
Please choose the answer that describes the scientific notation for 5,098,000.
avanturin [10]
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8 0
3 years ago
Factor completely x3 – 3x2 - 9x + 27
lakkis [162]

Answer:

x³ - 3x² - 9x + 27

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Step-by-step explanation:

7 0
3 years ago
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