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Romashka [77]
4 years ago
14

Write y= x^2 - 4x + 6 in vertex form . NEED ASAP!! please !!

Mathematics
1 answer:
worty [1.4K]4 years ago
6 0
First, complete the square.
y = (x^2 - 4x + 4) + 2
y = (x - 2)^2 + 2
There you go. Have a nice day! :)
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There are four large groups of people, each with 1000 members. any two of these groups have 100 members in common. any three of
Evgen [1.6K]
Let the groups be A, B, C and D. Then

n(A ∩ B ∩ C ∩ D) = 1
n(A ∩ B ∩ C ∩ D') = 10 - 1 = 9
n(A ∩ B ∩ C' ∩ D) = 10 - 1 = 9
n(A ∩ B' ∩ C ∩ D) = 10 - 1 = 9
n(A' ∩ B ∩ C ∩ D) = 10 - 1 = 9
n(A ∩ B ∩ C' ∩ D') = 100 - 9 - 9 - 1 = 81
n(A ∩ B' ∩ C ∩ D') = 100 - 9 - 9 - 1 = 81
n(A' ∩ B ∩ C ∩ D') = 100 - 9 - 9 - 1 = 81
n(A' ∩ B ∩ C' ∩ D) = 100 - 9 - 9 - 1 = 81
n(A' ∩ B' ∩ C ∩ D) = 100 - 9 - 9 - 1 = 81
n(A ∩ B' ∩ C' ∩ D) = 100 - 9 - 9 - 1 = 81
n(A ∩ B' ∩ C' ∩ D') = 1000 - 81 - 81 - 81 - 9 - 9 - 9 - 1 = 729
n(A' ∩ B ∩ C' ∩ D') = 1000 - 81 - 81 - 81 - 9 - 9 - 9 - 1 = 729
n(A' ∩ B' ∩ C ∩ D') = 1000 - 81 - 81 - 81 - 9 - 9 - 9 - 1 = 729
n(A' ∩ B' ∩ C' ∩ D) = 1000 - 81 - 81 - 81 - 9 - 9 - 9 - 1 = 729

Thus, all together there are 4(729) + 6(81) + 4(9) + 1 = 2,916 + 486 + 36 + 1 = 3,439 members in the groups.

Therefore, there are all together 3,439 members in the groups.

7 0
3 years ago
I need YOUR help fast!
joja [24]

Answer:

(5, 4) is correct.

First comes x, which is horizontal on the graph

Then comes y, which is vertical.

6 0
2 years ago
Lily's car used 6 gallons of gas to drive 237 miles. At what rate does her car use gas in miles per gallon? Express your answer
iogann1982 [59]

Answer:

<u>39.5 miles/gallon.</u>

Step-by-step explanation:

6 gallons of gas used to drive 237 miles

The rate of her car uses gas in miles per gallon =

\frac{237 miles}{6 gallons} = \frac{237}{6} = 39.5 \ miles/gallons

Which mean the car will consume 1 gallon for each 39.5 miles.

7 0
3 years ago
The state where you live has a 6% sales tax. If you purchase a car for $9,800, what will you pay, including tax? (this is a two-
mestny [16]

Answer: $10,388

Step-by-step explanation:

The first step is to calculate the tax for the car:

9,800*0.06=588

The second step is to add the price of the car and the corresponding tax:

9,800+588=10,388

So, you will pay $10,388.

5 0
3 years ago
Can you please Find 3/4- 75/n
nlexa [21]

Answer:

3n-300/4n

Step-by-step explanation:

8 0
3 years ago
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