Answer:
please mark me as brainliest
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
You can do this by subtracting 6 from 46 because Marissa has 6 less than Trevor. Then you split the remaining 40 into two meaning that each person has 20, but then you add the 6 back to Trevor so the answer is TREVOR HAS 26 T-SHIRTS (and Marissa has 20)
Answer:
-4/5
Step-by-step explanation:
Lets put the equation in slope intercept form
4x+5y = -20
Subtract 4x from each side
4x-4x+5y = -4x-20
5y = -4x-20
Divide each side by 5
5y/5 = -4x/5 -20/5
y = -4/5 x -4
The equation is in the form y = mx+b where m is the slope and b is the y intercept
the slope is -4/5 and the y intercept is -4
In decimal: 4.5 In mixed form: 4 1/2