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Rainbow [258]
3 years ago
15

The Mexican Hot Chocolate Recipe makes 2 cups of hot chocolate per batch. 1 serving is equal to 1 cup.

Mathematics
1 answer:
djyliett [7]3 years ago
3 0

Answer:

3

Step-by-step explanation:

For one batch there is 2 cups so for one person it's one serving so you will need 3 batches for 6 people.

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Factor completely. <br> <img src="https://tex.z-dn.net/?f=x%5E%7B8%7D-%5Cfrac%7B1%7D%7B81%7D" id="TexFormula1" title="x^{8}-\fra
Eduardwww [97]

We have 3⁴ = 81, so we can factorize this as a difference of squares twice:

x^8 - \dfrac1{81} = \left(x^2\right)^4 - \left(\dfrac13\right)^4 \\\\ x^8 - \dfrac1{81} = \left(\left(x^2\right)^2 - \left(\dfrac13\right)^2\right) \left(\left(x^2\right)^2 + \left(\dfrac13\right)^2\right) \\\\ x^8 - \dfrac1{81} = \left(x^2 - \dfrac13\right) \left(x^2 + \dfrac13\right) \left(\left(x^2\right)^2 + \left(\dfrac13\right)^2\right) \\\\ x^8 - \dfrac1{81} = \left(x^2 - \dfrac13\right) \left(x^2 + \dfrac13\right) \left(x^4 + \dfrac19\right)

Depending on the precise definition of "completely" in this context, you can go a bit further and factorize x^2-\frac13 as yet another difference of squares:

x^2 - \dfrac13 = x^2 - \left(\dfrac1{\sqrt3}\right)^2 = \left(x-\dfrac1{\sqrt3}\right)\left(x+\dfrac1{\sqrt3}\right)

And if you're working over the field of complex numbers, you can go even further. For instance,

x^4 + \dfrac19 = \left(x^2\right)^2 - \left(i\dfrac13\right)^2 = \left(x^2 - i\dfrac13\right) \left(x^2 + i\dfrac13\right)

But I think you'd be fine stopping at the first result,

x^8 - \dfrac1{81} = \boxed{\left(x^2 - \dfrac13\right) \left(x^2 + \dfrac13\right) \left(x^4 + \dfrac19\right)}

6 0
3 years ago
<img src="https://tex.z-dn.net/?f=%20%7Bx%7D%5E%7B2%7D%20-%2022x%20%20%2B%20121" id="TexFormula1" title=" {x}^{2} - 22x + 121"
eduard

Let's factor x^2−22x+121

The middle number is -22 and the last number is 121. Factoring means we want something like

(x+_)(x+_)

Which numbers go in the blanks? We need two numbers that...

Add together to get -22

Multiply together to get 121

Can you think of the two numbers?

Try -11 and -11:

-11+-11 = -22

-11*-11 = 121

Fill in the blanks in

(x+_)(x+_)

with -11 and -11 to get...

(x-11)(x-11)


Answer: (x-11)(x-11)


Hope this helps!!!

3 0
3 years ago
Pasagot po pleaseeeee.....​
charle [14.2K]

Answer:

not visible....

Step-by-step explanation:

sssssss

8 0
3 years ago
Please help!!!!!!!!!
garri49 [273]
3x+50 = 6x - 10
6x -3x = 50+10
3x = 60
x = 20

answer
x = 20
4 0
3 years ago
Read 2 more answers
Read carefully and click the option that has the correct answer of the question.
vitfil [10]

Answer:

$67.38 is the correct answer

8 0
3 years ago
Read 2 more answers
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