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ANEK [815]
3 years ago
15

Write y=2x^2+12x+1 in vertex form.

Mathematics
1 answer:
Amiraneli [1.4K]3 years ago
8 0

Answer:

y = 2(x + 3)^2 - 17.

Step-by-step explanation:

y=2x^2+12x+1

y = 2(x^2 + 6x) + 1

y = 2[( x + 3)^2 - 9] + 1

y = 2(x + 3)^2  - 18 + 1

y = 2(x + 3)^2 - 17.

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How do you get the answer for .0003 is 1/10 of?
Hitman42 [59]
0.0003 would be 1/10 of 0.00003. If you divided 0.00003 by 10 you would get 0.0003. In fraction form it is 3/10,000

Hoped this helped. 
5 0
3 years ago
Solve and reduce to lowest terms: x =<br> Please don't make it to long
dusya [7]

Answer:

2/11

Step-by-step explanation:

6 = 2 x 3

6/11 x 1/3

= ( 6 x 1 )/( 11 x 3 )

= ( 2 x 3 x 1 )/( 11 x 3 )

Cancel 3 in both numerator and denominator.

= ( 2 x 1 )/( 11 )

= 2/11

4 0
2 years ago
Can someone please help me
Ad libitum [116K]
Square root both sides. The unreduced answer is root 28. Now. To reduce root 28, you need to break it down into factors and hope one of them is a perfect square. 

4*7=28, and 4 is a square number. The square root of 4 is either positive or negative 2. Now that you've found that square, pull it out from under the square root symbol. Under the root symbol, you're left with 7 (not a perfect square).

Therefore, your answer is C
7 0
3 years ago
Read 2 more answers
ε = {x: 2 x 30, x is an integer}, M = {even numbers}, P = {prime numbers}, T = {odd numbers} Find: I) MUP ii) M - T iii) P(MT) i
mariarad [96]

Answer:

Step-by-step explanation:

ε = {x: 2≤ x ≤30}

M = { even numbers} = {2,4,6,8,10,12,14,16,18,20,22,24,26,28,30}

P = { prime numbers} = {2,3,5,7,11,13,17,19,23,29}

T = {odd numbers} = {3, 5, 7, 9, 11,13,15,17,19,21,23,25,27,29}

1. M ∪ P = {2,3,4,5,6,7,8,10,11,12,13,14,16,17,18,19,20,22,23,24,26,28,29,30}

2. M - T =

n(M) - n(T)

15- 14 = 1

3. P(MT)

(MT) = M ∩ T = 0

P ∪ (M ∩ T ) = {2,3,5,7,11,13,17,19,23,29}

4. P' = not a prime number

T' = not odd number = M

P' ∪(M∩T')

P' ∪ {2,4,6,8,10,12,14,16,18,20,22,24,26,28,30}

= {2,4,6,8,9,10,12,14,15,16,18,20,21,22,24,25,26,27,28,30}

6 0
3 years ago
How many times does seven go into three hundred ninety four
Nookie1986 [14]

Answer: 56 times.

Step-by-step explanation:

394/7 = 56.3

56 * 7 = 392

392 + 7 = 399

399 is more than 394, therefore the answer is 56.

6 0
3 years ago
Read 2 more answers
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