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Elza [17]
2 years ago
7

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<br> 1<br> 3 as a decimal rounded to the nearest hundredth.
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7 0
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 <u>   multiply   </u> the number of liters by the number of milliliters in 1 liter. This means there are <u>   4,200   </u>milliliters in 4.2 liters. The cafeteria has the greatest amount of  <u>   orange   </u>juice, the second greatest amount of    <u>     grape     </u> juice, and the least amount of <u>    cranberry     </u>juice.

Explanation:

<u>1) Data:</u>

  • Grape juice: 8,000 mililiters
  • Cranberry juice: 4.2 liter
  • Orange juice: 12,000 mililiters

  • There are 1,000 mililiers in 1 liter

<u>2) Part A:</u>

<u>Table:</u>

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

<u>3) Part B)</u>

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 <u>   multiply   </u> 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 <u>   4,200   </u>milliliters in 4.2 liters.

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

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

Rank the amounts:

  • 12,000    >    8,000    >    4,200

            ↑                   ↑                   ↑

       orange            grape        cranberry

8 0
2 years ago
MORE.FREE.POINTSS.<br><br> "I'm a cowboyy babyy"<br> this ones less points, BUT STILL
Novosadov [1.4K]

Answer:

thx may i have brainliest to plz i so close to next rank

Step-by-step explanation:

3 0
2 years ago
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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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