Which of the following is equivalent to (p3)(2p2 - 4p)(3p2 - 1)?

(p3)(6p4 - 12p3 - 2p2 + 4p)

(p3)(6p4 + 4p)

(2p6 - 4p3)(3p2 - 1)

(2p5 - 4p4)(3p5 - p3)

Solve for x and select the correct answer

Aspacecraft can attain a stable orbit 300 kilometers above earth if it reaches a velocity of 7.7 kilometers per second. the formula for a rocket's maximum velocity v in kilometers per second is vequalsminus0.0098tplusc ln upper r, where t is the firing time in seconds, c is the velocity of the exhaust in kilometers per second, and r is the ratio of the mass of the rocket filled with fuel to the mass of the rocket without fuel. find the velocity of a spacecraft whose booster rocket has a mass ratio of 20, an exhaust velocity of 2.1 km/s, and a firing time of 15 s. can the spacecraft achieve a stable orbit 300 km above earth?

Which of the following points is a solution to the system of equations shown? y - x = -1 x + y = -5