Which of the following relations is a function? {(-6, 4), (-6, 2), (2, 9), (1, 4)}

{(8, 2), (9, -2), (7, 0), (-3, 6)}

{(1, 2), (4, -1), (1, 2), (-3, 4)}

{(8, -2), (-4, 3), (8, 4), (-2, 3)}

Answers

Answer 1

Answer: The formal definition of a function states that: "A function relates each element of a set with exactly one element of another set (possibly the same set)."

The part "..with exactly one element.." means that for every input (x-coordinate), it cannot give back 2 or more return values (y-coordinates). With that rule alone, we can look at the different groups of coordinate points, and find which of the groups don't have repeating x-coordinates.

Let us look at each group:
{(-6, 4), (-6, 2), (2, 9), (1, 4)} contains 2 pairs with the -6 x-coordinate, so this is not a function.

{(1, 2), (4, -1), (1, 2), (-3, 4)} contains 2 pairs with the 1 x-coordinate so this is not a function.

{(8, -2), (-4, 3), (8, 4), (-2, 3)} contains 2 pairs with the 8 x-coordinate so this is not a function.

{(8, 2), (9, -2), (7, 0), (-3, 6)} does not have any repeating x-coordinates, so this relation is a function.

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A toy store marks down every toy by 15% in June .how much does a toy cost during June

Answers

Answer:

15% less than its regular price

Step-by-step explanation:

If the toy is marked down 15% in June, its cost during June is 15% less than its regular cost. (It will be 85% of its regular cost.)

1 minus 9 over 13 is?

Answers

1- 9/13
Steps:
1. Change 1 into 13/13 since 13/13=1 and this will give you a common denominator
2. New problem is 13/13 - 9/13
3. Do 13-9= 4
4. Your answer is 4/13 or .307

Which of the following represents the probability of 3 successes in 5 trials?a. 3C5P(S)*P(775
c. 3C5P(S)?P(A15
b. 5C3P(S)3P(F2
d. 5C3P(S)3P(F)5

Answers

Final answer:

The probability of 3 successes in 5 trials is represented by '5C3P(S)³P(F)²'. This equation reflects the combination of possible successful events, multiplied by the probability of success raised to the number of successes, and the probability of failure raised to the number of failures.

Explanation:

The correct answer is d. 5C3P(S)³P(F)².

Probability of success in binomial problems is given by the equation P(S) = nCr * (p)ⁿ * (q)ⁿ-r where n is the number of trials, r is the number of successful trials, p is the probability of success, and q is the probability of failure (1-p). In this case, there are 5 trials and 3 successes, so your p to the power of 3 (P(S)³) represents the probability of success and the your q to the power 2 (P(F)²) represents the probability of failure. The 5C3 in front is a combination which shows how many ways 3 successes can occur in 5 trials.

Learn more about Probability here:

brainly.com/question/22962752

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Answer: option B: 5C3P(S)3P(F)2

Step-by-step explanation:

correct on Edge 2020

How many subsets of exactly two elements does a set of five elements have?

Answers

Do you have any options?

Mel had a whole pizza. His friends ate 3/4 of the pizza. Mel said he had 1/2 of the pizza left. Is Mel's answer reasonable?

Answers

No! because for 1 if she had a full pizza and her friends ate 3\4 then there would be 1\4 peices left

Answer:

The Correct answer is 1/4

Step-by-step explanation:

I know for sure because i just took the test. This is what your answer should look like: No, it is not reasonable because 1−3/4=1/4 .

Martha has a ribbon that is meters long. She cuts the ribbon into 3 equal-sized pieces. She uses 1 of the pieces to make gift bows. Each bow uses of a meter of ribbon. How many gift bows does Martha make?