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3 years ago

Use the domain and range of each of the following relations to determine which is a function.

Mathematics

2 answers:

Dima020 [189]3 years ago

7 0

The answer js A. the first one

Margaret [11]3 years ago

5 0

Answer:

The function is expressed by answer A

Step-by-step explanation:

A function is a mathematical expression in which, for an independent variable , usually called x, we obtain one and only one value after applying the function, usually known as the dependent variable y.

D is not a function as we do not have two corresponding values or coordinate pairs. We only have a list of numbers

In C, B and A we have pairs of coordinate values expressed as (x,y) the independent and dependent variable.

In expression B, we see that the for the value of x=3 in ponts 1 (3.-3) and (3.-9) , the value 3 has two resulting values of y , -3 and -9, so this coordinates do not represent a function.

In option C, occurs something similar in this case with x =9. x=9 has two values in y : y=-6 and y= 2 so these points do not define a function

In A each x value (3.9.0) has a unique avlue of y (-3,-6,-9) so this is a function.

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Cameron's uncle is 3 times old as he is. 4 years ago, he was 4 times older. How old is Cameron?

erma4kov [3.2K]

Let Cameron be x years old now.

Now:

Cameron = x

Uncle =3x

4 years ago:

Cameron = x - 4

Uncle = 3x - 4

4 years ago, Uncle is 4 times older:

3x - 4 = 4(x - 4)

Find x:

3x - 4 = 4(x - 4)

3x - 4 = 4x - 16

4x - 3x = 16 - 4

x = 12

Find the age:

Cameron = x = 12

Answer: Cameron is 12 years old now.

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Answer:

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Step-by-step explanation:

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3 years ago

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Aleksandr-060686 [28]

Check the picture below.

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3 years ago

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Lelu [443]

Answer:

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3 years ago

Ponderosa Paint and Glass carries three brands of paint. A customer wants to buy another gallon of paint to match paint she purc

sveta [45]

Answer:

$\frac{4}{9}$

Step-by-step explanation:

Two events are independent of each other, this is called Compound Probability. Classical example is if two coins are filped, what is the probability of getting two heads in a row.?

Answer: each has 50% probability because there are two states only, either H or T. since we have two coins the probability of getting two heads in row is the product of obtaining heads for each individual coin (which is independent of each other). or is $\frac{1}{2}$ × $\frac{1}{2}$ = $\frac{1}{4}$ = 25%. (Notice!).

Back to our problem, now here we have 3 paint brands and one of them is the right paint brand and two of them are not correct brands. so the prabablity that the customer has picked not correct brand is $\frac{2}{3}$ and her husband has not picked correct brand is also $\frac{2}{3}$ , since two probabilities are compound probabilities i.e indepandant of each other the probablity that both woman and her husband fail get correct brand is the product of the two and is = $\frac{2}{3}$ × $\frac{2}{3}$ = $\frac{4}{9}$ .

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3 years ago