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Maurinko [17]
3 years ago
11

Factor completely 2x2 - 18. Prime 2(x2 - 9) 2(x + 3)(x - 3) 2(x + 3)(x + 3)

Mathematics
2 answers:
zhenek [66]3 years ago
7 0
2 x^{2}  - 18= 2( x^{2} - 9)= 2(x + 3)(x - 3)
kap26 [50]3 years ago
7 0
2x² - 18
2(x²) - 2(9)
2(x² - 9)
2(x² + 3x - 3x - 9)
2x(x(x) + x(3) - 3(x) - 3(3))
2x(x(x + 3) - 3(x + 3))
2x(x - 3)(x + 3)
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Peter is making green paint by mixing blue and yellow paint in a cuboid container, shown below. The container has width of 30cm
dusya [7]

Answer: height = 17.5cm

Step-by-step explanation: Peter mixes blue and yellow paint in the ratio 2:3, which means:

\frac{2}{3} = \frac{8.4}{x}

x = \frac{8.4*3}{2}

x = 12.6L

The container is full with the two paints, so total volume:

V = 12.6 + 8.4

V = 21L

Knowing that 1L = 1dm³ and sides of cuboid is measure in cm:

V = 21dm³ = 21000cm³

Volume of a cuboid is calculated as:

V = width*length*height

Height of the container is

height = \frac{V}{width*length}

height = \frac{21000}{30*40}

height = 17.5cm

The height of the container is 17.5cm.

4 0
3 years ago
An introductory psychology class has 9 freshman males, 15 freshman females, 8 sophomore males, and 12 sophomore females. A rando
hjlf

Answer:

The probability is \frac{16}{43}

Step-by-step explanation:

The psychology class has 9 freshman male, 15 freshman females, 8 sophomore male and 12 sophomore female.

Total population constitution of the class=

17 males and 27 females and 44 students in total.

If on selecting on the first attempt, a male has been picked up then the number of males for the picking up in the second attempt has to decrease by one.

Also, the total number of students from which it has to be selected also decreases by 1, because one child has already been selected.

Therefore for Second Attempt, Total 43 students and 16 males.

Probability=\frac{No.OfFavorableOutcomes}{TotalNo.OfOutcomes}

Probability=\frac{16}{43}

8 0
3 years ago
A music video website recieved 5,000 comments on a new song they released
Len [333]

Answer:

Yes but what is the Question??\

Step-by-step explanation:

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3 years ago
In a certain card game you draw one card off a standard deck of 52 cards. If you draw a spade you get paid $12, if you draw a re
Mariulka [41]

Step-by-step explanation:

In a standard deck of 52 cards, there are 2 red aces, 2 red Queens, and 13 spades.  That leaves 35 cards for everything else.

For the game to be fair, the cost must equal the expected value.  The expected value is the sum of each outcome times its probability.

C = (12) (13/52) + (20) (2/52) + (38) (2/52) + (0) (35/52)

C = 68/13

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4 0
3 years ago
What is the solution to the system of equations below y=-3/4x+3 and y=12.
Alexandra [31]
The correct answer choice is D.
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3 years ago
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