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Nina [5.8K]
2 years ago
6

Which of the sets of ordered pairs represents a function? (4 points)

Mathematics
2 answers:
vovikov84 [41]2 years ago
3 0

Answer: D, neither A nor B

Step-by-step explanation: In a function, the x (the input) cannot repeat in the given set of ordered pairs. In Set A, 2 repeats in the third and fourth ordered pairs. In Set B, 9 repeats in the third and fourth ordered pairs as well.

Ganezh [65]2 years ago
3 0

Answer: B

Step-by-step explanation:

Functions and Relations

A relation is just a set of ordered pairs (x,y) . In formal mathematical language, a function is a relation for which: if (x1,y) and (x2,y) are both in the relation, then x1=x2 . This just says that in a function, you can't have two ordered pairs with the same x -value but different y -values.

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Which second degree polynomial function f(x) has a lead coefficient of 3 and roots 4 and 1?
9966 [12]

For this case we have that the following function complies with the given conditions:

f (x) = 3x ^ 2 - 15x + 12

To prove it, let's find the roots of the polynomial:

3x ^ 2 - 15x + 12 = 0

By doing common factor 3 we have:

3 (x ^ 2 - 5x + 4) = 0

Factoring the second degree polynomial we have:

3 (x-1) (x-4) = 0

Then, the solutions are:

Solution 1:

x-1 = 0\\x = 1

Solution 2:

x-4 = 0\\x = 4

Answer:

A second degree polynomial function f (x) that has a lead coefficient of 3 and roots 4 and 1 is:

f (x) = 3x ^ 2 - 15x + 12

5 0
3 years ago
Read 2 more answers
I NEED HELP Which table represents a function?хуA0 4142535x yXolo4B115U AUОсху26374849ху565 | 7D
pogonyaev

A function have just one output (y) for each input (x). A value of x cannot have different corresponding values of y.

Tables B, C and D have differnet values of y (outputs) to a value of x(input), those are not functions.

Table A has one output (y) for each input (x). As you can see the output (y) can be the same for two or more inputs (x). It is a function

3 0
1 year ago
Tony is pouring milk for student lunches. She knows that 3 quarts of milk contain 12 cups. How many cups can she pour with 7 qua
Evgesh-ka [11]

Answer:

7 quarts = 28 cups

10 cups = 2.5 quarts

Step-by-step explanation:

In order to solve the two different questions in the problem, starting with a ratio of the number of quarts to the number of cups would be helpful:

\frac{quarts}{cups}=\frac{3}{12}=\frac{1}{4}

So, for every 1 quart of milk, she can pour 4 cups.  Using this ratio, we can set up equivalent ratios, or proportions, to solve for the missing value.  For the first question, we need to know that amount of cups in 7 quarts:

\frac{1}{4}=\frac{7}{x}

We can solve for 'x' by multiplying the numerator and denominator by the same factor, in this case '7'.  So, 4 x 7 = 28 cups.

Next, we need to solve for the amount of quarts needed for 10 cups:

\frac{1}{4}=\frac{x}{10}

4 x 2.5 = 10, so we need to multiply the numerator by 2.5: 1 x 2.5 = 2.5 quarts.

5 0
3 years ago
PLEASE HELP MEEEE!!!!
Vlad [161]

Answer:

  A.  P(n) = 12·2^n

Step-by-step explanation:

From one generation to the next, the population grows by a factor of ...

  24/12 = 2

Only one offered expression is an exponential function with a base of 2:

  P(n) = 12·2^n

7 0
2 years ago
3x+4[2x-3(x+1)-20x]=25x+100
sashaice [31]
Simplify:
3x + 4[2x -3x -3 -20x] = 25x +100
3x + 4(-21x -3) = 25x + 100
3x - 84x -12 = 25x + 100
-81x -12 = 25x + 100
Add 12 and Subtract 25x from each side
-106x = 112
X = -112/106
X = -56/53
^^^^^^^^^^
Final Answer^^
6 0
3 years ago
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