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
vivado [14]
3 years ago
12

What is rule for (0,0), (1,4), (2,16), (3,36), (4, 64)

Mathematics
2 answers:
ohaa [14]3 years ago
8 0
Here the set of input values is {0, 1, 2, 3, 4} and the set of output values is {0, 4, 16, 36, 64).  

Because of the rapid growth in the set of output values (0 to 4, 4 to 16, 16 to 36, 36 to 64), we suspect that exponential growth is illustrated here.

Let's start with the basic equation for exponential growth:  f(x) = ar^(n-1), where a is the value of the first term, n is the subscript of the term in question (e.g., n = 2 would indicate the second term), r is the common factor (if there is one).

The first y-value is 0; the second is 4, and the third is 16.  Is 4 a common ratio here?  Multiplying the first y value (0) by 4 results in 0.  Is that the same as the second given y-value (4)?  No.  So 4 is not a common ratio, even though 4 times 4 = 16 (the third y-value).

If you are in an advanced algebra class, one approach to try next would be to "fit" the given points to a 2nd, 3rd, 4th or 5th order polynomial.  For example, we could begin with given point (1,4) and attempt a 2nd order (quadratic) fit to (1,4) as a first step towards finding the "rule" in question.

The general form of a quadratic function is y=ax^2+bx+c.  What happens if we let x=1 and y=4, to fit (1,4)?     y = 4 = a(1)^2 + b(1) + c, which has 3 unknown coefficients.  You must repeat this process until you have three equations in three unknowns {a, b, c}, and then you must solve for a, b and c.  If you do this properly, you'll end up with a quadratic formula for the "rule" in question.  

I'd suggest you double-check to ensure that you have copied the five given data points properly.


Lelu [443]3 years ago
5 0

x=+1

y=it adds 4,next is 8,so 4+8=12,and 12 is what you add next,after 12 is 16,12+16 is 28,so they add 28,and that gets you 64

You might be interested in
Please help me :(((((
notsponge [240]

question 3: -2

question 4: 0

Ordered pairs in a graph go in the sequence of (x, y)

6 0
2 years ago
HELP I NEED HELP ASAP
Nady [450]

Answer:

A

Step-by-step explanation:

because the -2 is where the point is and the slope will start there so when you draw a line the line will pass by (0,-2)

5 0
3 years ago
In how many ways can 2 singers be selected from 4 who came to an audition?
Svetlanka [38]
First part  its 4C2  = 4*3 / 2 = 6

Second part
12 * 100
----------    =   4.3 %
   280
3 0
3 years ago
Read 2 more answers
According to the Rational Root Theorem, the following are potential roots of f(x) = 2x2 + 2x – 24.
Andrei [34K]

Answer:

The answer is 3 and (-4).

Step-by-step explanation:

We are given an equation 2x² + 2x – 24.

Let us assume that the equation is equal to zero.

2x² + 2x – 24 = 0

Now, divide whole equation by 2 we get,

x² + x – 12 = 0

x² + 4x – 3x – 12 = 0

x(x + 4) – 3(x + 4) = 0

(x – 3) (x + 4) = 0

x = 3, -4

Thus, The actual roots of f(x) are 3 and (-4).

7 0
2 years ago
Determine the zeros for and the end behavior of f(x) = x(x – 4)(x + 2)^4.
omeli [17]

Answer:

Step-by-step explanation:

x=-2,0,4

it is of 6 th degree (even)

coefficient of leading term is 1 (positive)

so it starts from top on the left and ends also positive direction of y-axis.

7 0
3 years ago
Other questions:
  • What happens if you double 15?
    11·2 answers
  • Is the set closed or not closed under operation? Negative Integers under multiplication
    8·1 answer
  • I need help with this problem 91+(-7)-5
    11·1 answer
  • Jasmine purchased a laptop worth $1,500 in 2007. It loses its value by %32 each year. What is the value of the laptop in 2010? R
    13·1 answer
  • What would the integer 500 equal using powers of 10? How did you come up with that answer?
    8·1 answer
  • Help!
    6·1 answer
  • Simplify the expression 5(n+3)+4n
    7·1 answer
  • 1) What does the term 5p mean in the expression 5p - 10?
    7·1 answer
  • My friend Coraz bought some hopts for $6 each and some rews for $4 each. The total cost was $120. Write an equation in standard
    7·2 answers
  • Stan has made a $125.30 monthly deposit into an account that pays 1.5% interest, compounded monthly, for 35 years. he would now
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!