Answer:
Only natural numbers (i.e., non-negative integers) can be the exponents of variables in a polynomial.
Step-by-step explanation:
The exponent of variables in a polynomial should be natural numbers (
, 
, 
, 
, 
.)
is equal to 
. In this expression, 
is the variable. Its exponent is 
, which isn't a natural number.
- On the other hand,
is equivalent to 
. The exponent of variable is , which is indeed a natural number.
isn't a polynomial because the exponent of variable isn't a natural number. On the other hand, is indeed a polynomial over the set of real numbers.
Explicit Formula
Just in case you don't know what this is, the explicit formula is the formula that solves for any term in the series without necessarily knowing what came before the term you are solving.
<em><u>Givens</u></em>
d = t_(n + 1) - t_n You can take any term and the next term for this part of the formula
d = t_3 - t_2
t_3 = 1
t_2 = -7
d = 1 - - 7 = 8
a = -15
<em><u>Formula</u></em>
t_n = a + (n - 1)*d
t_n = -15 + (n - 1)*8
For example find the 5th term.
t_5 = - 15 + (5 - 1)*8
t_5 = - 15 + 4 *8
t_5 = -15 + 32
t_5 = 17 Which is what you have.
Recursive Formula
Computers really like this formula. They use it in what is called a subroutine and they pass values from one part of the program to a subroutine which evaluates the given and sends the result back. I'm telling you all this so you see why you are doing it. The disadvantage of it for humans is that you must know the preceding term to use the recursive formula.
<em><u>Formula</u></em>
t_n = t_(n - 1) + d
<em><u>Example</u></em>
t_6 = t_(6 - 1) + d
t_6 = t_5 + 8
t_6 = 17 + 8
t_6 = 25
You can check this by using the explicit formula.
The correct answer is B)y=2x-6
Step 1: simplify both sides of the equation.
Step 2: Flip the equation.
Step 3: Subtract 8 from both sides.
Step 4: Multiply both sides by5.
Answer: Y= 35
Answer:
623 miles
Step-by-step explanation:
6.23*100= 623 miles
