We can use algebraic operations to rewrite expressions, including polynomial expressions. When we rewrite polynomial expressions, the representations look different but still represent the same expression. Where else have you seen this type of transformation-when something appears different, but it’s meaning remains the same?

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?

What is the solution for the following system of equations? use any method to solve. y = -x +4 y = x - 2 a. ( 4 , -2) b. (2, 1) c. (3, 1) d.(3, -2)

The mountain springs water company has two departments, purifying and bottling. the bottling department received 67,000 liters from the purifying department. during the period, the bottling department completed 65,000 liters, including 3,000 liters of work in process at the beginning of the period. the ending work in process was 5,000 liters. how many liters were started and completed during the period?