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ki77a [65]
3 years ago
9

Henry's mom is in charge of buying lemonade for his soccer team this week she plans on every player receiving 7/8 of a cup of le

monade after the game she bought a total of 20 cups of lemonade how many complete servings of lemonade Will Henry's mom be able to serve to the players
Mathematics
1 answer:
Katena32 [7]3 years ago
5 0
If each player will receive 7/8 of a cup, and there are a total of 20 cups of lemonade, then the number of servings that can be made is equal to:

20 cups divided by (7/8 cup per player)
20 / (7/8) = 20 * (8/7) = 160/7 = 22 and 6/7 (round down since we're looking for complete servings)
This means that 22 complete servings can be made.
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Step-by-step explanation:

For this counting question, we need to figure out the possible choices for each selection.

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Doing some casework, we know that 4*3 = 12, which is the answer.

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Question 12 information reference tables look at each expression. is it a factor of 8x4 + 2x2 – 45 when this expression is fully
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8x^4 + 2x^2 - 45 = (2x^2 + 5)(4x^2 - 9) = (2x^2 + 5)(2x + 3)(2x - 3)

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3 years ago
Can somebody help me ASAP. I attached a picture.
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½

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8 0
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Math question ^^^ please help
Nookie1986 [14]

(\frac{g}{f})(3)=\frac{-13}{21}\\

2/3 will not be included in the domain of g/f

Step-by-step explanation:

Given functions are:

g(x) =-2x^2+5\\f(x)=9x-6

We have to calculate (f/g)(x) first

The steps will be as follows:

(\frac{g}{f})(x)=\frac{g(x)}{f(x)}

Putting the values of functions

(\frac{g}{f})(x)=\frac{-2x^2+5}{9x-6}\\We\ have\ to\ find\ the\ value\ of\ (\frac{g}{f})(x)\ at\ 3\\So,\\(\frac{g}{f})(3)=\frac{-2(3)^2+5}{9(3)-6}\\(\frac{g}{f})(3)=\frac{-2(9)+5}{27-6}\\(\frac{g}{f})(3)=\frac{-18+5}{27-6}\\(\frac{g}{f})(3)=\frac{-13}{21}

Domain of g/f:

(\frac{g}{f})(x)=\frac{-2x^2+5}{9x-6}

The function will be undefined if the denominator is zero.

To find the domain we will put the denominator equal to zero

So,

9x-6=0\\Adding\ 6\ on\ both\ sides\\9x-6+6=0+6\\9x=6\\Dividing\ both\ sides\ by\ 9\\\frac{9x}{9}=\frac{6}{9}\\x=\frac{2}{3}

Hence, the function will be undefined on x=2/3 so 2/3 will not be included in the domain of (f/g)(x)

<u>Answer:</u>

(\frac{g}{f})(3)=\frac{-13}{21}\\

2/3 will not be included in the domain of g/f

Keywords: Domain, Operations on Functions

Learn more about functions at:

  • brainly.com/question/4767370
  • brainly.com/question/4770453

#LearnwithBrainly

8 0
3 years ago
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