Find rates of change until you find a constant.
dy/dx=1,2,3,4,5,6
d2y/dx2=1,1,1,1,1
So the acceleration, d2y/d2x, is constant. This means that this is a quadratic sequence of the form a(n)=an^2+bn+c. So we can set up a system of equations to solve for the values of a,b, and c. Using the first three points, (1,1), (2,2), and (3,4) we have:
9a+3b+c=4, 4a+2b+c=2, and a+b+c=1 getting the differences...
5a+b=2 and 3a+b=1 and getting this difference...
2a=1, so a=1/2 making 5a+b=2 become:
2.5+b=2, so b=-1/2, making a+b+c=1 become:
1/2-1/2+c=1, so c=1 so the rule is:
a(n)=0.5x^2-0.5x+1 or if you prefer to not have decimals
a(n)=(x^2-x+2)/2
The correct answer would be -3/8 or in decimal form -0.375 :)
15 tickets = $105
105 ÷ 15 = 7
1 ticket costs $7.
$7 x 12 = $84
12 tickets cost $84
Answer: $84 (Answer C)
Answer:
800. is the answer
Step-by-step explanation:
ur welcome.
Answer and Step-by-step explanation:
× 12 can also be written as 
because the 12 is multiplying the numerator of the fraction.
12 can also be written as 
.
When we solve, this is what is happening:
×
The 12 will be multiplying the 2, while the 1 will be multiplying the 3. Because 3 times 1 is 3, we don't show the 1. So, that can leave us with 2 being multiplied by 12 in the numerator.
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