Use cubic regression to find a function that fits the following points. (-2,-16)(1,5)(3,59)(6,440)

The cubic regression that fits the points , , and is .

Step-by-step explanation:

A cubic polynomial is a polynomial that has the following form:

(1)

Where:

- Independent variable, dimensionless.

- Dependent variable, dimensionless.

, , , - Coefficients, dimensionless.

We construct the following system of equations to determine the coefficients of the cubic regression:

(1)

(2)

(3)

(4)

The solution of the system of linear equations is:

, , ,

The cubic regression that fits the points , , and is .

rick has $1400 and sally has $1500

step-by-step explanation:

to find amount of money rick has after 10 years :

principal = $1000 , time = 10 years , rate = 4% annually

to find amount of money sally has after 10 years :

her friend gives to pay her $50 per year, therefore money she has after 10 years = 50 × 10 = $500

also, sally gets $1000 after 10 years,

therefore, total amount of money sally has after 10 years = 500 + 1000 = $1500

so, after 10 years : rick has $1400 and sally has $1500

the formula for the equation of a circle is (x – h)2+ (y – k)2 = r2, where (h, k) represents the coordinates of the center of the circle, and r represents the radius of the circle. if a circle is tangent to the x-axis at (3,0), this means it touches the x-axis at that point.