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netineya [11]
3 years ago
13

Find the vertex of the quadratic function: y= 2x^2 - 12x + 9

Mathematics
1 answer:
masha68 [24]3 years ago
4 0

Answer:

6+_3√2/2

Step-by-step explanation:

y=2x²-12x+9

y=6+3√2/2

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Express as a difference: a+b, a+5
Tcecarenko [31]

Answer:

a - (-b), a - (-5)

Step-by-step explanation:

A double negative negative is a positive, so a - (-b) = a + b, and a - (-5) is a + 5. However, a double negative is still a difference, so this answer works.

6 0
2 years ago
Which zero pair could be added to the function so that the function can be written in vertex form?
Oduvanchick [21]
The function in this problem should be: <span>f(x) =x</span>² <span>+ 12x + 6 

y = x</span>² + 12x + 6
y - 6 = x² + 12x 

x² ⇒ x * x
12x ⇒ 2*6*x
missing number is 6² = 36 

y - 6 + 36 = x² + 12x + 36

(x+6)(x+6) ⇒ x(x+6)+6(x+6) ⇒ x² + 6x + 6x + 36 = x² + 12x + 36

y + 30 = x² + 12x + 36
y = (x+6)² - 30

Choice is D. 36,-36
5 0
3 years ago
What is the distance between (-5, 3) and (7, 3)?
Ksivusya [100]

Answer:

12

Step-by-step explanation:

7+5

7 0
2 years ago
Read 2 more answers
Four tickets cost $62. Each ticket costs
xz_007 [3.2K]

Answer:

C

Step-by-step explanation:

Divide 62 by 4

4 0
3 years ago
Read 2 more answers
A farmer owns pigs, chickens, and ducks. When all her animals are together, she has 30 feathered animals, and the animals all to
tatiyna

To solve this problem, let us first assign some variables. Let us say that:

x = pigs

y = chickens

z = ducks

 

From the problem statement, we can formulate the following equations:

1. y + z = 30                                         ---> only chicken and ducks have feathers

2. 4 x + 2 y + 2 z = 120                      ---> pig has 4 feet, while chicken and duck has 2 each

3. 2 x + 2 y + 2 z = 90                        ---> each animal has 2 eyes only

 

Rewriting equation 1 in terms of y:

y = 30 – z

Plugging this in equation 2:

4 x + 2 (30 – z) + 2 z = 120

4 x + 60 – 2z + 2z = 120

4 x = 120 – 60

4 x = 60

x = 15

 

From the given choices, only one choice has 15 pigs. Therefore the answers are:

She has 15 pigs, 12 chickens, and 18 ducks.

3 0
3 years ago
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