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
Cerrena [4.2K]
2 years ago
11

A contractor is calculating the number of decorative stones for a new rectangular patio. The bids always include a count for the

number of stones for the edging, E(x), and the number of stones for the center of the patio, C(x). The various patio sizes have lengths represented by the function f(x) and widths represented by g(x).
Which statement describes the combined functions E(x) and C(x)?

The number of edge stones needed has a constant rate of change, but the number of stones for the center does not.
The number of stones for the center has a constant rate of change but the number of edge stones needed does not.
Both the number of stones needed for the edge and the number of stones for the center have a constant rate of change.
Neither the number of stones needed for the edge nor the number of stones for the center has a constant rate of change

Mathematics
1 answer:
babunello [35]2 years ago
3 0

Answer:

The number of edge stones needed has a constant rate of change, but the number of stones for the center does not.

Step-by-step explanation:

The complete question is shown in the picture attached below.

Two functions E(x) and C(x) are given in the table along with some of the function values. We have to identify if any of these functions show constant rate of change or not.

By constant rate of change we mean that the slope is constant or in other words, a linear relationship is shown by the function. For a Linear function, the  first differences of the function values are same.

By first differences we mean the difference between two consecutive output values. We can see that difference between consecutive input values is constant i.e. 1. If the difference between consecutive output values of any of the functions is same, then that function will be a Linear Function and, therefore, the rate of change for that function will be constant.

Lets analyze E(x) first. The output values are:

34, 52, 70 and 88

The difference between consecutive output values is:

18, 18 and 18

Since, this difference is constant, we can conclude that E(x) is a Linear function with a constant rate of change.

Now lets analyze C(x). The output values are:

62, 133, 260 and 435

The difference between consecutive output values is:

71, 127 and 175

Since, the differences are not constant, C(x) is not a Linear Function and , therefore, the rate of change of C(x) is not constant.

Conclusion:

The number of edge stones which is represented by E(x) has a constant rate of change, but the number of stones for center which is represented by C(x) does not have constant rate of change. This makes the first option our correct answer.

You might be interested in
HELP PLEASE I ONLY GOT TODAY I NEED HELP ON 41,42,43, and 44 PLEASE HELP ME I NEED THIS TO GET MY GRADE UP
Daniel [21]

Answer:

Step-by-step explanation:

41. -3

42. 3

43 y^19

7 0
3 years ago
Read 2 more answers
A bag contains 8 purple marbles & 12 green marbles. You choose one marble out of the bag without looking.
MrRissso [65]

Answer:

1. P(P) = 8/20 = 0.4

2. P(G) = 12/20 = 0.6

Step-by-step explanation:

Given;

Number of green marbles G = 12

Number of purple marbles P = 8

Total T = 12+8 = 20

The probability that you choose a purple marble P(P) is;

P(P) = number of purple marbles/total number of marbles

P(P) = P/T = 8/20 = 0.4

P(P) = 0.4

The probability that you choose a Green marble P(G) is;

P(G) = number of Green marbles/total number of marbles

P(G) = G/T = 12/20 = 0.6

P(G) = 0.6

6 0
3 years ago
Would these be similar?
const2013 [10]

Hey buddy I am here to help!

Yes these r similar!

Hope this helps!

Plz mark me brainliest!

8 0
2 years ago
Read 2 more answers
Can someone actually help me with this
Komok [63]

Answer: X = 30*

All circles = 360*

we can subtract 260 from that because we know the length of one so we know the other is 130.

We are then left with only 100 and we know the two sides are equivalent so 100 / 2 = 50

6 0
3 years ago
Convert 5.100 × 10-3 to ordinary notation.<br> a.0.0005100<br> b.0.005100<br> c.510.0<br> d.5100
kondor19780726 [428]
5.100 x 10⁻³ = 5.100 x 0.001
                    = 0.005100      (shift the decimal point for 5 by 3 units left)

Alternatively, because 10⁻³ = 1/1000, therefore
5.100 x 10⁻³ = 5.1/1000

           0.0051
         ---------------
1000 | 5.100
           5000
           -------------
              1000
              1000
            
This yields the same result.

Answer: b. 0.005100
4 0
3 years ago
Other questions:
  • A botanist collected one leaf at random from each of 10 randomly selected mature maple trees of the same species. The mean and t
    8·1 answer
  • If an object has an acceleration of 7 m/s, and a mass of 3 kg, what is its force?
    15·1 answer
  • An office table consists of a rectangle 2 meters long by 1.5 meters wide and a semicircle 2 meters in diameter. What is the peri
    13·1 answer
  • The sum of two numbers is 65 . One number is 4 times as large as the other. What are the numbers?
    9·1 answer
  • Please see attachment for the question.
    10·1 answer
  • Divide 1/4 DIVIDED 2/3 Help asap
    10·2 answers
  • Plz help will give you brainlest
    11·1 answer
  • Levers are not a problem in the mechanical system. But, if you put two different simple machines that do not cooperate, they wil
    8·2 answers
  • I NEED THE ANSWER PLFAST PLEASE
    11·1 answer
  • How much is 5.802 less than 74.14<br>​
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!