Answer:
-1.5
Step-by-step explanation:
The slope of a line is given by the formula:
Let's let (4,5) be x₁ and y₁ and let's let (8,-1) be x₂ and y₂. So:
Subtract:
Reduce:
So, our slope is -3/2 or -1.5.
And we're done!
He was suppose to distribute the 2 to the -4 and make -8
It should have equaled: 3 + 4x - 8
The answer would be 4x-5
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.
Answer:
-23
Step-by-step explanation:
you calculate 49-|6-14|x 9
you then calculate the absolute value
49-|-8|x 9
then multiply the numbers
49-8 x 9
calculate those numbers
49 - 72
your solution will be -23
1.immigrants
2.native born
3.citizen
4.quotas
5.census
6.naturalization
