Determine the missing step for solving the quadratic equation by completing the square.

0 = –6x2 + 24x – 5

5 = –6x2 + 24x

5 = –6(x2 – 4x)

inside the parentheses and .

–19 = –6(x – 2)2

startfraction 19 over 6 endfraction = (x – 2)2

plus or minus startroot startfraction 19 over 6 endfraction endroot = x – 2

the two solutions are plus or minus startroot startfraction 19 over 6 endfraction endroot.

Browning labs is testing a new growth inhibitor for a certain type of bacteria. the bacteria naturally grows exponentially each hour at a rate of 6.2%. the researchers know that the inhibitor will make the growth rate of the bacteria less than or equal to its natural growth rate. the sample currently contains 100 bacteria. the container holding the sample can hold only 300 bacteria, after which the sample will no longer grow. however, the researchers are increasing the size of the container at a constant rate allowing the container to hold 100 more bacteria each hour. they would like to determine the possible number of bacteria in the container over time. create a system of inequalities to model the situation above, and use it to determine how many of the solutions are viable.

The quadratic function h(t)=-16.1t^2+150 choose the graph representation

The weight v of an object on venus varies directly with its weight e on earth. a person weighing 120 lb on earth would weigh 106 lb on venus. how much would a person weighing 150 lb on earth weigh on venus?