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QveST [7]
2 years ago
12

What is the equation of the axis of symmetry of the graph of y + 3x – 6 = –3(x – 2)2 + 4?

Mathematics
1 answer:
never [62]2 years ago
4 0
Axis of symmetry = -b/2a
y + 3x - 6 = -3(x-2)² + 4
y + 3x - 6 = -3 ( x²-4x+4) + 4
y + 3x - 6 = -3x² + 12x -12 + 4
y + 3x - 6 = -3x² + 12x -8
y = -3x² + 12x - 3x -8 + 6
y = -3x² + 9x -2
(a=-3, b=9, c=-2)
Axis of symmetry = -b/2a =  -9/2(-3) = -9 / -6 = -3 / -2 = 3/2
Hence, option A) x=3/2 is the correct answer. 
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The ratio of the number of picture books encyclopedias, and fairy tale books Annette had is 3:4:5 She have half of her encyclope
Flura [38]

The number of picture books does Annette have is 76 books.

Given the ratio of picture books , encyclopedias and fairy tales books is 3:4:5 and she have half of her encyclopedias to her brother and  he gave her 5 books of fairytales

We need to find the number of picture books does she have

According to the statement the total number of books does Annette have is

3k+4k+5k = 12k

Where k is total number of books

Now , Picture book she have = 3/12k = 1/4k

Encyclopedia she have = 4/12k = 1/3k

Fairy tale she have = 5/12k

Here,

Encyclopedia +14 = Fairy tale

Substituting the values of Encyclopedia and Fairy tale

(1/3 -1/2)k +14 = (5/12k -5 )

Therefore.

(1/6k+14) = (5k/12-5)

Therefore,

14+5 = 5k/12 - k/6

Therefore,

19 = 3k/12

19*4=k

76 = k

Here k = 76 books

Hence the total number of picture books does she have is 76

Learn more about ratio here

brainly.com/question/2328454

#SPJ10

5 0
1 year ago
Please help<br><br> -3/4(8n + 12) = 3(n-3)
Dennis_Churaev [7]

Step-by-step explanation:

-  \frac{3}{4} (8n + 12) = 3(n - 3)

- 3(8n + 12) = 12(n - 3)

\cancel{- 3}(8n + 12) =  \cancel{12}(n - 3)

- (8n + 12) = 4(n - 3)

- 8n - 12 = 4n - 12

- 8n - 4n =  - 12 + 12

- 12n = 0

n = 0

8 0
2 years ago
Does anyone know the answer?
ozzi
Maybe d. but u should probably wait for another answer
8 0
3 years ago
The answer I need this answer emergency pls help
HACTEHA [7]

Answer:

B

Step-by-step explanation:

4 0
3 years ago
Josh works for The Milkshake Diner. The company wants to know which milkshake flavor is the most popular. Today, he surveyed
AlekseyPX

its b i think please vote me i need points

6 0
3 years ago
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