When you subtract you are taking away a number but also when you distribute -1 to a number it will take away 1 (because it’s negative) :-) hope this made sense!
7/21 for the first and 9/27 for the second
Answer:
B) Sometimes
Step-by-step explanation:
<h3>Given</h3>
Two positive integers x and y
x - y = 4
x² + y = 68
<h3>Find</h3>
x and y
<h3>Solution</h3>
Add the two equations together.
... (x - y) + (x² + y) = (4) + (68)
... x² + x = 72
Rearrange to standard form and factor.
... x² + x - 72 = 0
... (x + 9)(x - 8) = 0
Use the zero product rule to find the solutions. That rule says the product is zero when one or more factors is zero.
... x + 9 = 0 ⇒ x = -9
... x - 8 = 0 ⇒ x = 8 . . . . . . the positive solution
Then we can find y from
... 8 - y = 4
... y = 4 . . . . . . . add y-4 to the equation
The two positive integers are 8 and 4.
1) 7, 11, 17, 25, 35
2) 6, 12, 22, 36, 54
6) The nth term is T= n^2 +4n -1
7) The nth term is T= n^2 + 3n
8) The nth term is T= 2n^2 + 2n + 5
I‘ll try to do the others, I’ll write the solutions in the comments of my answer
