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
djverab [1.8K]
3 years ago
11

What is the average rate of change for the sequence shown below? a coordinate plane showing the points negative 1, 4. 1, 3. 3, 2

. 5, 1.
Mathematics
1 answer:
wolverine [178]3 years ago
7 0

Answer: - 1/2 = - 0.5


Explanation:


1. Make the sequence clear. These are the given points (x,y):

  • (-1, 4)
  • (1, 3)
  • (3, 2)
  • (5, 1)

2. The average rate of change only takes into account the last and the first pairs of your intervals, those are (5, 1) and (-1, 4).

Average rate of change = [change in y] / [change in x] = [1 - 4] / [5 - (-1) ] =

  = - 3 / 6 = - 1/2 = - 0.5  ← answer


The averate ratre of change is the slope of the line that joins the first and last points. The fact that the result is negative means that there was a net decrease of the values.

You might be interested in
What is a simple way to solve for the sum and difference of 2 cubes? For example, 27+64<img src="https://tex.z-dn.net/?f=x%5E3"
salantis [7]

Answer:

(3 + 4x)(9 - 12x + 16x²) = 0

(4m - 1)(16m² + 4m + 1) = 0

Step-by-step explanation:

Here we have to solve the sum of two cubes which is 27 + 64x^{3}

Now, the equation is 27 + 64x^{3} = 0

⇒ 3³ + (4x)³ = 0

⇒ (3 + 4x)[3² - 3(4x) + (4x)²] = 0

⇒ (3 + 4x)(9 - 12x + 16x²) = 0

So, (3 + 4x) = 0 or (9 - 12x + 16x²) = 0

Therefore, from the above two relation we can solve for x.

One root will be - \frac{3}{4} and the others we will get by applying Sridhar Acharya Formula, which will give a pair of conjugate imaginary roots of the equation.  

Again, we have to solve the difference of two cubes which is 64m^{3} - 1

Now, the equation is 64m^{3} - 1 = 0

⇒ (4m)³ - 1³ = 0

⇒ (4m - 1)[(4m)² + 4m(1) + 1²] = 0

⇒ (4m - 1)(16m² + 4m + 1) = 0

So, (4m - 1) = 0 or (16m² + 4m + 1) = 0

Therefore, from the above two relation we can solve for m.

One root will be \frac{1}{4} and the others we will get by applying Sridhar Acharya Formula, which will give a pair of conjugate imaginary roots of the equation.  (Answer)

8 0
3 years ago
What is the equation of the line that passes through the point (5, -6) and has a<br> slope of 3/5
Marysya12 [62]

Answer:

y = 3/5x + -9

or y = 3/5x - 9

Step-by-step explanation:

Since you are already given the slope for this equation all you have to do is plug in the ordered pair in this equation: y = mx+b

Here is what this equation stands for:

y = the y in the order pair you are given, in this case it would be -6

m = This is the slope, sometimes you may not be given the slope so you would have to find it, but in this case, you are given it, the slope is 3/5

x = the x in the ordered pair you are given, in this case it would be 5

b = This is the y-intercept, you will mostly be solving for this most of the time

(5,-6)

(x, y)

y = mx+b (Use this Formula)

-6 = 3/5(5) +b (The numbers have been substituted within the formula)

-6 = 3+b (simplify the equation by multiplying the slope by the x)

-6-3 = b ( once simplified the left side of the equation, go to the right side, but remember when you do that you have to change the sign because you are eliminating 3 on the left side completely, "what you do on one side, do it to the other side")

-9 = b (solve)

y = 3/5x + -9 (plug in the slope and B(y-intercept) within the formula - y = mx+b, make sure that you are not plugging in x and y for this step)

I Hope This Helped You Understand this Problem Better/More!!! Stay Safe and Healthy!

8 0
3 years ago
The perimeter of a playing field for a certain sport is 300ft. The field is a rectangle, and the length is 48ft longer than the
lara31 [8.8K]

Answer:

Width of the rectangular field =102 feet

Step-by-step explanation:

Perimeter of the field= 300feet

Length of the field= 48 feet

Width=?

Perimeter of a rectangular field= 2(Length+Width)

                                            300= 2(48+Width)\\\\150=48+Width\\\\Width=150-48\\\\Width=102 feet

The Width of the rectangular field is 102 feet

4 0
3 years ago
Read 2 more answers
X=13+4x=22 please help
Andreyy89
X=13+4x. 13+4x=22
0=13+3x. 4x=9
3x=-13. x=9/4
x=13/3
4 0
3 years ago
Covert (3×10²)(2×10³) to scientific notation. Show work please.
leonid [27]
(3*2)(10^2 * 10^3) = 6*10^5
4 0
3 years ago
Other questions:
  • 18x3=54<br><br> How do I get a distributive property
    6·1 answer
  • Ashley and losa each improved their yards by planting dayliles and shrubs. They bought their supplies from the same store. Ashle
    5·1 answer
  • How many of the first 999 Fibonacci numbers are odd?
    9·1 answer
  • Solve the following exponential equations. Round your answers to 3 decimal place.
    13·2 answers
  • On a string of lights for every six screen lights there are four white if there are 30 green lights how many white lights are th
    10·1 answer
  • Helpp m and explain ,I will mark brainlest:)
    7·1 answer
  • Learning math. The Core Plus Mathematics Project (CPMP) is an innovative approach to teaching mathematics that engages students
    9·1 answer
  • -2 degree drop in temp every 1,000 ft airplane climbs in the sky. Temp on ground is 57 degrees. What is temperature when plane r
    7·1 answer
  • What does "The product of n and 6 is subtracted from five-sixths of b" mean​
    14·1 answer
  • Two sides of a triangle and an angle between them are given. Construct the triangle. Does the solution exist for any given angle
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!