Hi there! The answer is A.
(2x² + 3x - 10) - (x² - x + 111)
Let's solve this problem step by step!
First work out the parenthesis. Because we multiply by negative 1, we mustn't forget to change the symbols in front of the factors.
2x² + 3x - 10 - x² + x - 111
Now rearrange our expression, in order to collect the terms later.
2x² - x² + x + 3x - 10 - 111
And finally collect the terms.
x² + 4x -121
The answer is A.
~ Hope this helps you!
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.
9/32
1/3
1/9
7/18
7/20
5/44
Still in fractions?
Answer:
267 slices of pizza
Step-by-step explanation:
16 x 6 = 276
276 - 9 = 267
For the first equation it should be 1 and 4 because 7(1)+6(4) would simplify to 7+24 which equals 31.
Then for the second equation, well... there’s multiple answers:
First would be 3 and -2 because 3(3)-10(-2) simplifies to 9+20=29.
Another one would be 23 and 4 because 3(23)-10(4) simplifies to 69-40=29.
Hopefully this helps :D
