1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
kolezko [41]
3 years ago
14

The ordered pairs below represent a relation between x and y.(-3,1), (-2,3), (-1,5), (0,7), (1,9), (2,11)Could this set of order

ed pairs have been generated by a linear function?A. No, because the distance between consecutive y-values is different than the distance between consecutive x-valuesB. Yes, because the distance between consecutive x-values is constantC. Yes, because the relative difference between y-values and x-values is the same no matter which pairs of (x, y) values you use to calculate itD. No, because the y-values decrease and then increase
Mathematics
2 answers:
Liula [17]3 years ago
8 0
Yes because its like x cant cheat on y but y can cheat on x so basically your answer is yes and if you  need anything else let me know 
mars1129 [50]3 years ago
6 0

Answer:

The correct answer is C.

Step-by-step explanation:

Notice that the difference between consecutive values of x is always 1, and the difference between consecutive values of y is always 2. This means that

\frac{x_{1}-x_{0}}{y_{1}-y_{0}} = 2

where x_0 and x_1 stands for two consecutive values of x, and the same goes to y.

Now, notice that this is the definition of the slope of the equation of a line. Then, a line can be characterized by this condition, and that is why C is the correct answer.

Anyway, you can check that this set of point is generated by a linear function in other way. Suppose that it can be done, and the linear function has the form

y=mx+n.

From the pair (0,7) we deduce that 7 =m*0+n, then n=7. Now, substituting the pair (-3,1) we get 1=-3*m+7 and as consequence m=2. Thus, if the points are generated by a linear function, its expression would be y=2x+7.

Now, substitute the different values of x and check that the same values of y are obtained.

You might be interested in
Jan buys 3 bags of beads. Each bag contains 7 beads. Draw a bar diagram and write an addition equation and a multiplication equa
-Dominant- [34]

Answer:

  - The diagram bar is attached.

  - Addition equation:  7+7+7=21

  - Multiplication equation: (3)(7)=21

  -  How are the equation related? Each equation shows 3 groups of 7.

Step-by-step explanation:

We know that Jan buys 3 bags of beads and each bag contains 7 beads, then, you can draw the bar diagram shown attached.

 Observe that the diagram has 3 blocks (each block represents a bag of bead) and there is a number 7 inside of each block (which is the number of beads contained in a bag).

Therefore:

- Add the numbers inside the blocks in order to get the addition equation that shows the number of  beads Jan buys. This is:

7+7+7=21

- Multiply 3 blocks by 7 in order to get multiplication equation that show the number of beads Jan buys:

(3)(7)=21

The equations are related. Each one shows 3 groups of 7.

6 0
2 years ago
X+4y=4 in slope intercept form
MAXImum [283]

Answer:

Slope: −14y-intercept: (0,1)

Step-by-step explanation:

7 0
2 years ago
A car dealership pays $8,550 for a car. They markup the price by 20.4% to get the retail price. What is the retail price of the
marin [14]

Answer:

$10294.20

Step-by-step explanation:

8550 increase 20.4% =

8550 × (1 + 20.4%) = 8550 × (1 + 0.204) = 10294.2

3 0
2 years ago
There are four steps in the manufacturing process of a stuffed toy: cutting, stuffing, sealing, and packaging. There are two emp
Anit [1.1K]

Answer:

(a) 2min/15units

(b) 1min/20units

(c) The bottleneck stage is cutting. The process capacity is 450units/hour

(d) The capacity of the new employee should be 1unit/2sec. The process capacity will increase four times

Step-by-step explanation:

(a) Cycle time for stage cutting for 2 employees = 16sec/2units × 1min/60sec = 2min/15units

(b) Cycle time for stage sealing for 1 employee = 3sec/1unit × 1min/60sec = 1min/20units

(c) Process capacity of stage cutting = 15units/2min × 60min/1hour = 450units/hour

(d) If the capacity of the new employee is 1unit/2sec, the process capacity = 1unit/2sec × 3600sec/1hour = 1800units/hour. The process capacity increases 4 times (1800/450 = 4)

7 0
3 years ago
What is the average speed in miles per hour if a driver has traveled 8 miles in 10 minutes?
Contact [7]

Answer:

48 MPH

Step-by-step explanation:

10 mins times 6= 60 mins which is an hour

8 miles times 6= 48 miles

This means the average is 48 MPH

8 0
3 years ago
Other questions:
  • Is 76 pounds of Christina's body weight comes from water about how much does Christina weigh
    13·1 answer
  • A scale on a map shows that 2.52, 5 centimeters = 15 kilometers. What number of actual kilometers are represented by 17.5 centim
    8·1 answer
  • Someone please I just want to get done with this
    10·1 answer
  • Blue River is 212 miles long. What is the length of the river on the map, if the scale is 1 inch : 50 miles?
    6·1 answer
  • A shirt is $25.99 if the sales tax is 8.5% what will be the total cost of the shirt? Please help:)
    15·2 answers
  • Need help with this!!! ASAP
    10·1 answer
  • Noelle has containers that each hold one gallon of liquid. She used these containers to dispose of waste from the chemistry labo
    10·1 answer
  • He equation shown below is true for what values of x 3(x - 2) + 2(x + 5) = 9x
    12·1 answer
  • A system of equations is shown below.
    9·1 answer
  • Which of the following is most likely the next step in the series?
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!