Answer:
x = 40
Step-by-step explanation:
collect the terms (3-2)x = 40
subtract the numbers 1x = 40
divide from both side 1x/1 = 40/1
solution x = 40
Ok so if it has roots of -3 and 5 it should be divisible by (x+3) and (x-5) and it is also divisible by 2
Therefore it is divisible by 2(x+3)(x-5)
If you multiply that out you get 2x^2 -2x -15
Answer:
1
Step-by-step explanation:
The points go rise:1 up:1 so the slope is 1.
Answer:
24,600
Step-by-step explanation:
5 and more you round it up
4 or less you let rest
Step-by-step explanation:
We are picking 6 numbers from the numbers 1,2,3,4,5,6,7,8,9,10. Since we care about numbers being next to each other, we might think of the 10 numbers as being distributed in 5 boxes (which you can think of as the holes):
| 1 2 | 3 4 | 5 6 | 7 8 | 9 10 |
So on the first box we have the numbers 1 and 2, on the second box we have the numbers 3 and 4, and so on. Since we are picking 6 numbers from those 10 numbers, that means we'll have to pick 6 boxes (and inside each box we pick a number), but we only have 5 available boxes, so by the pigeonhole principle, we'll have to pick 1 same box at least two times. Since on each picked box we'll need to pick a number, on this box which was picked two times, we will have to pick both of its numbers. And so those 2 numbers inside that box will be next to each other (meaning they're consecutive numbers).
