Write the equation of the quadratic function whose graph is a parabola containing the given points.(0, 3), (3, 15), (-3, 27)

A. y = 2x2 + 2x +1
B. y = 3x2 - 2x + 3
C. y = 2x2 - x + 3
D. y = 2x2 - 2x + 3


Answer: D

Mathematics

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Write the function in the form y = f(u) and u = g(x). Then find dy/dx as a function of x.y = csc(cot x)

A. y = csc u; u = cot x;  = csc3 x cot x
B. y = cot u; u = csc x;  = csc2(csc x) csc x cot x
C. y = csc u; u = cot x;  = - csc(cot x) cot(cot x)
D. y = csc u; u = cot x;  = csc(cot x) cot(cot x) csc2 x

Mathematics

Simplify by combining like terms.-5b + 3b

A. 2b2 B. -2b C. 2b D. 8b

Mathematics

Provide an appropriate response.Use the simplex method to solve the linear programming problem.Minimizew = 5y1 + 2y2subject to: y1 + y2 ? 19.5 2y1 + y2 ? 24 y1 ? 0, y2 ? 0

A. 30.5 when y1 = 4.5 and y2 = 0 B. 31.5 when y1 = 1 and y2 = 2 C. 54 when y1 = 24 and y2 = 1 D. 48 when y1 = 0 and y2 = 24

Mathematics

Write a system of equations to describe the situation. Do not solve the system.One number is 6 more than another number. If you add 10 to 6 times the first number, the result is 7 times the second number.

A.

B.

C.

D.

Mathematics