Question 1(multiple choice worth 5 points) (07.05 hc)
the work of a student to solve the equation 3(2x − 4) = 8 + 2x + 6 is shown below: step 1: 3(2x − 4) = 8 + 2x + 6 step 2: 5x − 7 = 14 + 2x step 3: 5x − 2x = 14 + 7 step 4: 3x = 21 step 5: x = 7 in which step did the student first make an error and what is the correct step?
step 2; 6x − 12 = 14 + 2x
step 2; 6x − 7 = 2(6 + x + 4)
step 3; 5x − 2x = 14 − 7
step 3; 5x + 2x = 14 + 7

Assume that y varies inversely with x. if y=1.6 when x=0.5 find x when y=3.2

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?

Y= x – 6 x = –4 what is the solution to the system of equations? (–8, –4) (–4, –8) (–4, 4) (4, –4)