Answer:
1
Step-by-step explanation:
9 goes into 9 once, so 9/9 = 1
Move the decimal to right 3 times
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
Answer:
This is four term polynomial.
Step-by-step explanation:
Polynomial comes from poly(meaning “many”) and nomial (in this case meaning “term”). So it says “many terms” A polynomial is an expression consisting of variables and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponents of variables.
In this expression, we are to determine the polynomials depending on the number of terms present in the expression. The prefixes of the classification suggest the number of terms present.
a^2 - b + c - d^3
This is an example of a four-term polynomial. The first term is a^2, second one is -b, the third one is c, and the fourth one is -d^3.
3^(9/4)=3^(3*3/4)=(3^3)^(3/4)=27^(3/4)
27^(3/4)*x^(3/4)=(27x)^(3/4)
