5a.
18/9 = 12/x
18x = 12(9)...cross multiply
18x = 108
x=108/18
x=6
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
Well, First you want to find out how many times six can go into ten. Since its only once, you immediately get the number 1 as your whole number. Now because you've taken six out of ten you're left with 4/6. The mixed number would be 1 and 4/6 or 1 and 2/3 if you're simplifying
Answer:
z=27^(1/3)=3
check:3x3x3=27
Step-by-step explanation:
