Which set of ordered pairs represents a function?

Which equivalent fraction corresponds to ? - since - as and

- because and

- since

The answer is

- because and

A fraction is deemed equivalent if it maintains the same value when expressed in simplest terms. The equivalent to is found in the chosen option;

First, halve both the numerator and denominator by 2

Then reduce further

2/2 = 1 and 6/2 = 3; Thus;

Next, multiply both the numerator and denominator by 3

Therefore, equals .

X - 9 + 2wx = y Add 9 to both sides of the equation to isolate terms. Next, you get x + 2wx = y + 9. After that, factor out x to obtain x (1 + 2w) = y + 9. Lastly, divide every term by (1 + 2w) yielding x = (y + 9) / (1 + 2w).

Mr. Rowley
16:14

Ms. Rivera
64:60

Upon simplifying 64:60, it becomes 16:15.
64/4 = 16
60/4 = 15

They are not equivalent since Ms. Rivera holds 1 more exit ticket than Mr. Rowley.

Answer:

c= 25

d= 60

Step-by-step explanation:

C: This is because 25+0 is simply 25. Essentially, you are not adding anything, so it remains unchanged!:)

D: 50 + 10 = 60. That’s straightforward addition!

Hope this helps!

Response:

Refer to the figure attached.

Step-by-step explanation:

Each portion is treated as a function.

Let x represent the hours worked in a day

The company packs 80 boxes of toys each hour during the first three hours. Thus, y₁ = 80x, for x ∈ [0,3]

After three hours, the total boxes packed = 80 * 3 = 240

They pause packaging for two hours for a training session. Therefore, y₂ = 240, for x ∈ [3,5]

Next, for the subsequent four hours, they pack 20 boxes of toys hourly

y₃ = 20x + c, for x ∈ [5,9]

To determine c, equate y₂ and y₃ at x = 5

∴ 240 = 20 * 5 + c

∴ c = 240 - 20 * 5 = 240 - 100 = 140

∴ y₃ = 20x + 140, for x ∈ [5,9]

Consequently,

y₁ = 80x, for x ∈ [0,3]

y₂ = 240, for x ∈ [3,5]

y₃ = 20x + 140, for x ∈ [5,9]

The graph plotting the piecewise function that depicts the described situation is shown in the attached illustration.