Write with rational exponents and then apply the properties of exponents. Assume that all radicands represent positive real numbers. Give answers in exponential form. ? 

A. x10/20
B. x20/10
C. x7/9
D. x33/20


Answer: D

Mathematics

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Solve the differential equation.y'' - 6y' + 8y = 0

A. y = e4x(C1 cos 2x + C2 sin 2x) B. y = e2x(C1 cos 4x + C2 sin 4x) C. y = C1e-2x + C2e-4x  D. y = C1e2x + C2e4x 

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Solve the formula for the specified variable.A = h(b1 + b2) for b1

A. b1 = 
B. b1 = 
C. b1 = 
D. b1 = 

Mathematics

Give all possible rational zeros for the following polynomial.P(x) = 3x3 + 32x2 + 32x + 27

A. ±1, ± , ± , ± , ±3
B. ±1, ± , ±3, ±9, ±27
C. ±1, ±3, ±6, ±9, ±27
D. ±1, ±3, ±9, ±27

Mathematics

Use the Rational Zeros Theorem to find all the real zeros of the polynomial function. Use the zeros to factor f over the real numbers. f(x) = 3x4 - 8x3 + 20x2 - 40x + 25

A. 5, ; f(x) = (x - 5)(3x - 5)(x2  + 1)
B. -5, -1, 1, ; f(x) = (x - 1)(3x - 5)(x + 1)(x + 5)
C. -5, -1, 1, - ; f(x) = (x - 1)(3x + 5)(x + 1)(x + 5)
D. 1, ; f(x) = (x - 1)(3x - 5)(x2 + 5)

Mathematics