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grin007 [14]
2 years ago
15

Which list of ordered pairs is NOT a function? Mark only one oval. {(1, 1), (2, 3), (3, 4), (4,5)} ){(1, 1), (2, 2), (3, 3), (4,

4)} O {(1, 1), (3, 1), (4,2), (5, 3) } O{(1, 1), (1, 3), (2, 3), (3,4)}​
Mathematics
1 answer:
Mrac [35]2 years ago
5 0

Answer:

{(1, 1), (1, 3), (2, 3), (3,4)}​ is not a function.

Step-by-step explanation:

The lists are:

a) {(1, 1), (2, 3), (3, 4), (4,5)}

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

c) {(1, 1), (3, 1), (4,2), (5, 3) }

d) {(1, 1), (1, 3), (2, 3), (3,4)}​

Firs, let's define what is a function.

A function is a relationship that maps elements from a set (the domain, is the set of the inputs) into elements of another set (the range, the set of the outputs) such that each element of the domain can be mapped into only one element of the range.

Then the list where we have the same input mapped into two different outputs, will not be a function.

Where in a ordered pair (x, y)

x is the input, and y is the output.

In this case, the list that is not a function is:

d) {(1, 1), (1, 3), (2, 3), (3,4)}​

because we have the input x = 1, mapped into two different outputs.

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What would the answer be for this equation 7x/20 - 5x/12
hodyreva [135]

Answer:

\frac{1}{15} x

Step-by-step explanation:

\frac{7x}{20}  -  \frac{5x}{12}

\frac{3 \times 7x}{3 \times 20}  -  \frac{5 \times 5x}{5 \times 12}

\frac{21x}{60}  -  \frac{25x}{60}

\frac{21x - 25x}{60}  = (21 - 25)x =  - 4x

\frac{ - 4x}{60}  =  -  \frac{ x}{15}

\boxed{\green{=  \frac{1}{15} x}}

4 0
3 years ago
A student is trying to solve the system of two equations given below:
k0ka [10]

Answer:

A. (y+z=6) -8

Step-by-step explanation:

You will use the process of adding together the like terms. Since in equation Q, we have 8y, we need -8y in equation P. Answer A is the only one that will give us -8. You have to distribute -8 across all the variables and numbers in the parenthesis.

8 0
2 years ago
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Keith drove 436 miles using 16 gallons of gas at this rate how many miles would he drive using 14 gallons of gas
KengaRu [80]

This Question is related to Direct Proportionality

Here : The Number of Miles Driven is Directly Proportional to Number of Gallons of Gas

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⇒ Keith with 1 Gallon of Gas would Drive : 27.25 Miles

⇒ Keith with 14 Gallons of Gas would Drive : 14 × 27.25 Miles

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Two dogs run around a circular track 300 m long. One dog runs at a steady rate of 15m per second, the other at a steady rate of
mihalych1998 [28]

Answer:

300 seconds

Step-by-step explanation:

The first dog run at v₁ = 15 m/sec     the second one run at  v₂ = 12 m/sec

we know that  d = v*t  then  t  =  d/v

Then the first dog will take  300/ 12  =  25 seconds to make a turn

The second will take   300 / 15   =   20 seconds to make a turn

Then the first dog in 12 turns 12*25 will be at the start point, and so will the second one at the turn 15.

To check  first dog    12 *  25 = 300

And the second dog 15 * 20 = 300

That means that time required for the two dogs to be at the start point together is

300 seconds, in that time the first dog finished the 12 turns, and the second had ended the 15.

Another procedure to solve this problem is as follows:

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