Ineed with math fast (well explained) worth 18
1: a ball is arremesada in the air and its height above the ground in time x (in seconds) is given by the function f (x) = x² - 5x. determine how long the ball hit the ground again.
2: a banking application yields a day x mesum value in real given by the function f (x) = x² - 4x - 5. determine the days when there is no income that application.
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Acaterer charges $500 plus $30 per guest to cater a wedding. walt and traci don't want to spend more than $8000 on catering. write and solve an inequality in terms of the number of guests, g, that can be invited. a) 30g ? 8000; g ? 267 b) 500g < 8000; g < 16 c) 500 + 30g < 8000; g < 250 d) 500 + 30g ? 8000; g ? 250

Find the area of the region that is inside r=3cos(theta) and outside r=2-cos(theta). sketch the curves.

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?