Answer: Given relation is a function

A relation is said to be a function if no value in its domain is paired up with more than one value in its range.

Since x values represent the Domain of a relation and y values represent the Range of a relation, in terms of x and y we can say:

A relation is said to be a function if an x-value is not paired up with more than one y-value.

From the above table we can see that all the x values are distinct, so no x value is paired with more than one y-value and thus given relation is a function.

5 0

2 years ago

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Peter mixes 4 1/2 cups of orange juice, 1 1/3 cups of ginger ale, and 6 1/3 cups of strawberry lemonade to make some punch. What

ella [17]

Just add them all:(FYI, I first converted all the mixed fraction to improper)
11/3+19/3= 30/3+9/2
Now take out the LCM,
60/6+27/6= 87/6
Hence, the total number of cups that peter makes is 87/6

3 0

2 years ago

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A mixture contains five quarts of acid and water and is forty percent acid. If the mixture is to be weakened to thirty percent a

kari74 [83]

Answer: Second option is correct.

Step-by-step explanation:

Since we have given that

Amount of quarts of acid and water = 5

Percentage of acid = 40%

So, Amount of acid is given by

$\frac{40}{100}\times 5\\\\=2\ quarts$

Amount of water is given by

$5-2=3\ quarts$

So, we need to find the amount of water must be added to the mixture to get weakened to 30% acid.

Let x amount of water is added to mixture, so that water gets 70% of mixture and acid becomes 30% of mixture.

According to question,

$\frac{3+x}{2}=\frac{70}{30}\\\\\frac{3+x}{2}=\frac{7}{3}\\\\3(3+x)=2\times 7\\\\9+3x=14\\\\3x=14-9\\\\3x=5\\\\x=\frac{5}{3}\\\\x=1\frac{2}{3}\ quarts$

Hence, Second option is correct.

3 0

2 years ago

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