A farmer has 60m of fencing with which to construct three sides of a rectangular yard connected to an existing fence.

a) If the width of the yard is x meters and the area inside the yard is A meters squared, write down the rule connecting A and x.

b) Sketch the graph of A against x.

c) Determine the maximum area that can be formed for the yard.

Enter the number of complex zeros for the polynomial function f(x) = x 4+ 5x² +6

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?

Will mark the brainliest. paula makes stained-glass windows and sells them to boutique stores. if her costs total $12,000 per year plus $4 per window for the frame. how many windows must she produce to earn a profit of at least $48,000 in one year if she sells the windows for $28 each?