Answer:
Here is your answer
Step-by-step explanation:
A cubic spline is a spline constructed of piecewise third order polynomials which pass through a set of control points. The second derivative of each polynomial is commonly set to zero at the endpoints since this provides a boundary condition that completes the system of equations.
Answer:
For problem 31: 25 counters in the 5th figure, 81 counters in the 9th figure, and 121 counters in the 11th figure.
Step-by-step explanation:
Since in the examples it shows 1 exponent 2, 2 exponent 2, and 3 exponent 2, that means all the rest will have 2 as an exponent. So the fifth figure would be 5 exponent 2, which is 5 times 5 = 25. The 9th figure would be 9 exponent 2, which is 9 times 9 = 81. The 11th figure would be 11 exponent 2, which is 11 times 11 = 121.
Is that all, or do you need answers for #'s 32, 33, and 34?
The question has an error because the letter g does not make sense in the context.
I will assume that the g is really the number 9.
In that case, the equation to solve would be:

You can solve for x following these steps:
1) make

=>

2) Given that the basis are equal the exponents have to be equal =>
2x = 2(3x - 4)
3) Solve:
2x = 6x - 8
6x - 2x = 8
4x = 8
x = 8/4
x = 2 which is the option B) which leads me to think that a 9 instead of g in the equation should be right.
Under that assumption, the answer is the option B) x = 2.
Answer: D all of the above
Step-by-step explanation:
Answer:
y= 1/2x-3
Step-by-step explanation:
2y - x = 8
First find the slope
2y = x+8
Divide by 2
2y/2 = x/2 +8/2
y = 1/2 x +4
The slope is 1/2 ( y=mx+b where m is the slope and b is the y intercept)
When lines are parallel they have the same slope)
Using y = mx+b
y =1/2x+b
Substituting the point (4,-1) into the equation
-1 =1/2(4)+b
-1 = 2+b
-3 =b
The equation of the line is
y= 1/2x-3