3. mandy has just purchased a bag of marbles. a new bag of marbles contains an average of 31 regular marbles and 2 large-sized novelty marbles. the number of regular marbles in a new bag can vary by as many as four marbles, but there are always 2 large-sized novelty marbles in each bag. which equation can be used to determine the maximum and minimum number of regular marbles that mandy could have in her bag of marbles?

G(x)=x2-16xb=-16, so =16 = 649(x) = (x2 - 16x + 64) - 649(x) = (x - 1)2-

Solve the equation: x - 9 = -6 + 5 a. 21 b. 7 c. 14 d. 2

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?