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:
The answer is b
Step-by-step explanation:
I just took the quiz
Answer:
k = 
Step-by-step explanation:
The scale factor is calculated as the ratio of corresponding sides, figure on right to figure on left, that is
k = 
= ← in simplest form
Answer:
<h3>x = 6</h3>
Step-by-step explanation:
According to pythagorean theorem
a² = b² + x²
a is the hypotenuse
b and x are the opposite and adjacent
Let a = 10
b = 8
Substitute and get x:
10² = 8²+x²
x² = 10²-8²
x² = 100-64
x² = 36
x = √36
x = 6
<em>Hence the value of x is 6</em>
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Answer:
x=2
Step-by-step explanation:
y=2(2)-1
=4-1
=3
y=-5(2)+13
=-10+13
=3
