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2 years ago

Express 4x^2 − 12x in the form (2x + a)^2 + b.

Mathematics

1 answer:

gladu [14]2 years ago

8 0

Answer: $(2x-3)^2-9\\$

a=-3

b=-9

Step-by-step explanation:

$4x^2-12x=(2x)^2-2*2x*3+9-9\\=(2x-3)^2-9\\$

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One third 1 3 as a decimal rounded to the nearest hundredth.

densk [106]

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3 years ago

Landon finds that the school cafeteria has 8,000 milliliters of grape juice, 4.2 liters

KengaRu [80]

Answer:

1) Part A)

Liters Mililiters

1 1,000

5 5,000

8 8,000

14 14,000

2) Part B)

One way to convert 4.2 liters to milliliters is to  multiply  the number of liters by the number of milliliters in 1 liter. This means there are  4,200 milliliters in 4.2 liters. The cafeteria has the greatest amount of  orange juice, the second greatest amount of  grape  juice, and the least amount of  cranberry juice.

Explanation:

1) Data:

Grape juice: 8,000 mililiters

Cranberry juice: 4.2 liter

Orange juice: 12,000 mililiters

There are 1,000 mililiers in 1 liter

2) Part A:

Table:

The table is garbled. This is what the tables could look like:

Liters Mililiters

1 1,000

5 5,000

8 8,000

14 14,000

You can see that the table shows a direct relationship between the number of mililiters and the number of liters:

1,000/1 = 1,000
5,000/5 = 1,000
8,000/8 = 1,000

14,000/14 = 1,000

number of mililiters / liters = 1,000

3) Part B)

Fill in the blanks to explain how Landon can convert 4.2 liters of cranberry juice to mililiters so he can compare the amounts of the different juices:

i) One way to convert 4.2 liters to milliliters is to  multiply  the number of

liters by the number of milliliters in 1 liter.

As demonstrated above there is a direct relationship between the number of mililiters and the number on liters, then you must multiply the number of liters by the proportionality constant to find the number of mililiters.

ii) This means there are  4,200 milliliters in 4.2 liters.

That is the product 4.2 × 1,000 = 4,200.

iii) The cafeteria has the greatest amount of  orange juice, the second greatest amount of  grape  juice, and the least amount of  cranberry juice.

Rank the amounts:

12,000 > 8,000 > 4,200

↑ ↑ ↑

orange grape cranberry

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2 years ago

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Novosadov [1.4K]

Answer:

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Step-by-step explanation:

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2 years ago

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Vika [28.1K]

Answer:

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3 years ago

Someone please help!

Kay [80]

Answer:

I think the answer would be the 9 pack.

Step-by-step explanation:

Think, if you divide each of the packs by their price the 9 pack is cheaper for one roll.

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3 years ago