Use either the binomial theorem or Pascal's Triangle to expand the binomial.(x + 8y)5
A. x5 + 40x4y + 1280x3y2 + 10,240x2y3 + 20,480xy4 + 8y5
B. x5 + 40x4y + 640x3y2 + 5120x2y3 + 20,480xy4 + 32,768
C. x5 + 40x4y + 1280x3y2 + 10,240x2y3 + 20,480xy4 + 32,768y5
D. x5 + 40x4y + 640x3y2 + 5120x2y3 + 20,480xy4 + 32,768y5
Answer: D
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Solve the problem.If f(x) = and g(x) = 8x - 8, find f(g(x)).
A. 2
B. 8 - 8
C. 8
D. 2
Complete the factoring.-15x4y8 = 5x2y5( )
A. -3xy3 B. -3x2y3 C. -75x2y3 D. -75x3y4
Solve the problem.During each cycle, the vertical displacement s of the end of a robot arm is given by where t is the time. Find the expression for the instantaneous velocity of the end of the robot arm.
A. 8t3 - 15t2 + 6t - 2 B. 8t3 - 13t2 + 6t + 2 C. 2t3 - 15t2 + 3t - 2 D. 8t2 - 10t + 2
Solve using the quadratic formula. Use a calculator to approximate the solution to three decimal places.x2 -
x = -1
A. -1.5 B. 1.5 C. 0.086, 2.914 D. ± 0.667