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
Answer:
C
Step-by-step explanation:
It is fully reduced
Answer:
d
Step-by-step explanation:
3 shirts that each costs s dollars would be 3s
jeans is $30, pair of shoes is $50, add $30+$50 and you'll end up with $80
so, an expression in the simplest form that represents the total cost would be:
d. 3s+80
The original answer is 5.2186. After you round, your answer should become 5.22
Let X be the iq score of adults. X is normally distributed with mean of 100 and standard deviation of 20.
If all iq scores are converted to z -scores then we will get z scores. And the z score is standard normal variable with mean=0 and standard deviation =1
Hence the mean and standard deviation of of all z scores will be 0 and 1 respectively.