The sequence 1, 3, 6, 10, 15, etc find dy/dx...
dy/dx=2,3,4,5 this is not a constant so find d2y/dx2
d2y/dx2=1,1,1, this is a constant, specifically a constant acceleration, which is a property of a quadratic function of the form ax^2+bx+c and if we use three points of the sequence we can solve for all of the variables...
9a+3b+c=6
4a+2b+c=3
a+b+c=1 getting differences
5a+b=3
3a+b=2 and again
2a=1, so a=1/2, making 3a+b=2 become:
1.5+b=2, so b=1/2, making a+b+c=1 become
1/2+1/2+c=1 so c=0 so our function is:
a(n)=(n^2+n)/2
which can be expressed, if you factor the numerator as:
a(n)=n(n-1)/2
They would have made $9 million more than last year.
Answer:
3 units
Step-by-step explanation:
So if we want to know how high the spring board is, this will need to be the time at which the diver is still at the top of the board, in this case t = 0 seconds.
So we will need to find h(0)
- h(0) = 5(0)² + 10(0) + 3 = 0 + 0 + 3 = 3
24. Answer: 15 because to add up to the 90° angle you subtract 90-75 to get 15
Answer:
w(16) = 27
Step-by-step explanation:
w(16) = I 16-24 I + 19
w(16) = I -8 I + 19
The straight brackets (forgot their proper names lol) turns any number into a positive version
w(16) = 8 + 19
w(16) = 27
