Use the Binomial Theorem to expand the binomial and express the result in simplified form.(x + 3)5
A. x5 + 15x4 + 90x3 + 270x2 + 405x + 3
B. x5 + 15x4 + 180x3 + 540x2 + 405x + 243
C. x5 + 15x4 + 180x3 + 540x2 + 405x + 3
D. x5 + 15x4 + 90x3 + 270x2 + 405x + 243
Answer: D
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The vertex of a parabola occurs where the derivative of its equation is 0, so an equation associated with the equation of a parabola can be solved to find the x-coordinate of the vertex. Find the vertex of the parabola, given the equation of the parabola and its associated equation.Equation of parabola: f(x) = x2 - 6x + 1; associated equation: 0 = 2x - 6
A. (3, 28) B. (-3, -8) C. (-3, 28) D. (3, -8)
Determine if the proportion is true or false.
= 
A. True B. False
Write the rate as a unit rate.564 miles in 54 hours (mph)
A. 
mph
B. 1
mph
C. 62
mph
D. 10
mph
Find the center and radius and draw the graph.x2 + y2 - 6x - 8y + 21 = 0
A. 
center (3, -4); radius 2
B. 
center (-3, 4); radius 2
C. 
center (-3, -4); radius 2
D. 
center (3, 4); radius 2