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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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Solve for x and graph the solution on the number line<br> 15 &gt; 2x – 9 &gt; -23
Monica [59]

The answer is 12>x>-7

Step-by-step explanation:

it's first divided into 2 parts

1 . 15 > 2x - 9

2. 2x - 9 > -23

Then solve them individually.

let's do it,

<u>First half</u>

15 > 2x - 9

15+9 > 2x

24 > 2x

24/2 > x

12>x

<u>Second half</u>

2x-9>-23

2x>-23+9

2x>-14

x>-14/2

x>-7

<u>Joining of the two halves</u>

We have :

12>x>-7

8 0
3 years ago
The number that is multiplied by a power of 10 in scientific notation must be in between 1 and 10
vazorg [7]

Answer:

Thats false

Step-by-step explanation:

When you multiply by a power your basically multiplying that number b itself 10x except for 1

4 0
3 years ago
Solve for x: 12-2x=-2(y-x)
a_sh-v [17]
12 - 2x = -2(y - x)

12 - 2x = -2y - (-2x)

12 - 2x = -2y + 2x

12 - 2x - 2x = -2y + 2x - 2x

12 - 4x = -2y

12 - 12 - 4x = -2y - 12

-4x = -2y - 12

-4x/4 = -2y/4 - 12/4

-x = -0.5y - 3

-x/-1 = -0.5y/-1 - 3/-1

x = 0.5y + 3

or

x = 3 + 0.5y
3 0
3 years ago
A red container has 18 marbles. 5 of the marbles are black. Rest of the marbles are white and red. What additional information i
AveGali [126]
Your answer will be:

The total number of marbles that are not black. 
7 0
3 years ago
Read 2 more answers
What’s the answer to n
Ksju [112]
Hello there!

I see you got some work done already, but I guess you just wanted to double check! :)

3n + 8 = 20

3n = 20 -8 (Subtract 8 on both sides).

3n = 12 (Combine like terms).

n = 4 ( divide both sides by 3)

There you have your answer! :D

Hope this helped!

---------------------

DISCLAIMER: I am not a professional tutor or have any professional background in your subject. Please do not copy my work down, as that will only make things harder for you in the long run. Take the time to really understand this, and it'll make future problems easier. I am human, and may make mistakes, despite my best efforts. Again, I possess no professional background in your subject, so anything you do with my help will be your responsibility. Thank you for reading this, and have a wonderful day/night!
7 0
3 years ago
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