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e-lub [12.9K]
2 years ago
6

Max points easy math problem

Mathematics
2 answers:
11Alexandr11 [23.1K]2 years ago
4 0

Solution:

Given:

  • x = -4
  • y = 4

<u>Substitute the values into the equation:</u>

  • x⁶ - x/4y
  • => [(-4)⁶] - (-4)/4(4)

<u>Simplify the numerator and the denominator:</u>

  • => [(-4) x (-4) x (-4) x (-4) x (-4) x (-4)] + 4/16
  • => [(-64) x (-64)] + 4/16
  • => [4096] + 4/16
  • => 4100/16

<u>Simplify the fraction:</u>

  • => 4100/16
  • => 1025 x 4/4 x 4
  • => 1025/4

Correct option is B.

Nataly [62]2 years ago
4 0

Answer:

[-\frac{1023}{4} ]

Step-by-step explanation:

\frac{x^6-x}{4y}

x = -4

y = 4

Replace all the variables with the corresponding values given:

\frac{-4^6-(-4)}{4(4)}

Now solve,

-4 to the power of 6 is equal to -4096

\frac{-4096-(-4)}{4(4)}

we see that we are subtracting a negative number, meaning that it'll cancel out and turn into an addition sign. Therefore:

-4096 + 4

-4092

\frac{-4092}{4(4)}

4(4) is equal to 16

\frac{-4092}{16}

When divided, you'll get a mixed fraction of -255\frac{3}{4}

To turn into an improper fraction, simply multiply the whole number by the denominator, then add the numerator to the result.

-255 * 4 + 3

[-\frac{1023}{4} ]

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ZanzabumX [31]

Your fruit punch recipe can be composed of 4 juice containers of lemonade, 2 juice containers of orange juice, 2 juice containers of grape juice, 2 juice containers of apple juice, 2 juice containers of cranberry juice, and 2 juice containers of pineapple juice.

<h3>Unit conversion</h3>

Unit conversion is a tool very useful to solve some questions. For this exercise, you should know that  1 liter (l) = 1000 milliliters (ml).

The question asks you a design your own fruit punch recipe with exactly 5 liters of punch and includes at least three of the juice.

You have several options, an alternative is to use all juices.

  • Step 1 - Convert the units for each given juice containers

         250 milliliters of lemonade = 0.250 l of lemonade juice

         500 milliliters of orange juice = 0.500 l of orange juice

         250 milliliters of grape juice = 0.250 l of grape juice

         250 milliliters of apple juice= 0.250 l  of apple juice

         500 milliliters of cranberry juice =  0.500 l of cranberry juice

         500 milliliter’s of pineapple juice = 0.500 l of pineapple juice

  • Step 2 -Design your own fruit punch recipe with  exactly 5 liters

 4 juice containers of lemonade = 4* 0.250 l = 1 l of lemonade

 2 juice containers of orange juice= 2* 0.500 l = 1 l of orange juice

2 juice containers of grape juice= 2* 0.250 l = 0.500 l of grape juice

2 juice containers of apple juice= 2* 0.250 l = 0.500 l of apple juice

 2 juice containers of cranberry juice= 2* 0.500 l = 1 l of cranberry juice

 2 juice containers of  pineapple juice= 2* 0.500 l = 1 l pineapple juice

Thus, your own fruit punch recipe is composed of: 4 juice containers of lemonade, 2 juice containers of orange juice, 2 juice containers of grape juice, 2 juice containers of apple juice, 2 juice containers of cranberry juice, and 2 juice containers of pineapple juice.

Read more about the unit conversion for capacity here:

brainly.com/question/14965845

4 0
2 years ago
How do u guys solve this?
enyata [817]
Just graph it in the calculator
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