All categories

3 years ago

4. Represent the ordered pairs in the mapping diagram as a set of ordered pairs and as a table.

Mathematics

1 answer:

Firlakuza [10]3 years ago

3 0

Answer/Step-by-step explanation:

✔️As a set of order pairs, the mapping can be represented as (x, y), where x = input and y = output.

Thus:

{(1, 6), (2, 6), (3, 6), (4, 8)}

✔️As a table we have input as x, and y as output, such as:

x | y

1 | 6

2 | 6

3 | 6

4 | 8

You might be interested in

Let f(x) = 2x^2 - 4x + 1 <br><br> Find the values of f(1), f(0), f(2), f(-2), f(a)

Nataly [62]

Answers:

f(1) = -1

f(0) = 1

f(2) = 1

f(-2) = 17

5 0

3 years ago

Which symbol replaces ? to make the statement true?

kow [346]

To make it easier, I am going to simplify it.

4×16-16 ? 4×[24-2×(4+8)]

64-16 ? 4×[24-2×12]

48 ? 4×[24-24]

48 ? 4×[0]

48 ? 4×0

48 ? 0

48>0

The symbol is >, so the answer is A.

8 0

3 years ago

Read 2 more answers

Joe bikes at the speed of 30 km/h from his home toward his work. If Joe's wife leaves home 5 mins later by car, how fast should

Dahasolnce [82]

Answer:

45 mph

Step-by-step explanation:

This is a really good question to know the answer to. It is tricky and a bit indirect (which means you have to find something else before you can find the speed of the car.)

Let's keep track of what he does in the time allotted.

How far does Joe go in 5 minutes? That's the amount of time he's on the road before she is.

convert 5 minutes into hours. 5 minutes * 1 hour / 60 minutes = 1/12 of an hour

d = r*t

r = 30 km/hour

t = 1/12 hour

d = 30 km/hr * 1/12 hour = 2.5 km

Now she's about to start. She wants to catch him in 10 minutes

d = r*t

r = x mph

t = 10 minutes = 10 minutes * 1 hour * 60 minutes = 1/6 of an hour.

How far does he go in the 10 minute time?

d = 30 * 1/6 = 5 km

What is his total distance

5 km + 2.5 km = 7.5 km

Finally how fast does she need to go to catch him

d = 7.5 km

r = ? This is what you are trying to find

t = 1/6 of an hour

d = r*t

7.5 km = r * (1/6)hour divide by 1/6 hour

7.5 km // 1/6 hour = r

r = 7.5 * 6 = 45 mph

6 0

3 years ago

Y=-3x +19 <br> slope:<br> x intercept:<br> y intercept:

aalyn [17]

Answer:

X= -3

Y= 19

Step-by-step explanation:

5 0

2 years ago

Use the data in the table below and a graphing calculator to describe how a linear model compares to a quadratic model. Analyze

Delvig [45]

The quadratic model and the linear model of the table of values are the same

<h3>The linear model of the data</h3>

To do this, we make use of a graphing calculator.

From the graphing calculator, we have the following summary:

Sum of X = 0
Sum of Y = 113
Mean X = 0
Mean Y = 22.6
Sum of squares (SSX) = 10
Sum of products (SP) = 28

The regression equation is

y = mx + b

Where

m = SP/SSX = 28/10 = 2.8

b = MY - bMX = 22.6 - (2.8*0) = 22.6

So, we have:

y = 2.8x + 22.6

See attachment for graph (1)

<h3>The quadratic model of the data</h3>

To do this, we make use of a graphing calculator.

From the graphing calculator, we have the following summary:

a = 0
b = 2.8
c = 22.6

0 X^2 +2.8 X +22.6

The regression equation is

y = ax^2 + bx + c

So, we have:

y = 0x^2 + 2.8x + 22.6

See attachment for graph (1)

<h3>Why both graphs look the same</h3>

The graphs look the same because when the quadratic model is simplified, it gives the linear model.

This in other words mean that:

The quadratic model and the linear model of the table of values are the same