Factor the trinomial completely. If the polynomial cannot be factored, write "prime."5x2y + 5xy - 25y

A. 5(x + 5y)(x - 1)
B. 5y(x + 5)(x - 1)
C. 5y(x2 + x - 5)
D. y(5x2 + 5x - 25)


Answer: C

Mathematics

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Describe the curve represented by the equation. Identify the type of curve and its center (or vertex if it is a parabola). -  = 1

A. Hyperbola, (1, 5) B. Ellipse, (1, 5) C. Hyperbola, (5, 1) D. Parabola, (5, 1)

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Use the power-reducing identities to rewrite the expression that does not contain trigonometric functions of power greater than 1.sin4 x - cos4 x

A. sin 2x B. cos x C. cos 2x D. - cos 2x

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Solve.If you are traveling 70 miles per hour on a highway in Canada, how fast are you traveling in kilometers per hour? (Use k = 1.61r, where r = rate in miles per hour and k = rate in kilometers per hour.)

A. 105.7 km/hr B. 71.6 km/hr C. 112.7 km/hr D. 43.5 km/hr

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Find all the first order partial derivatives for the following function.f(x, y, z) = xz

A.  = z =  = x
B.  = z =  = x
C.  = z = -  = x
D.  = z = -  = x

Mathematics