The frank family has 18 meters of fence with which to make a rectangular pen for their dog. they are going to use the side of their house as one of the lengths of the pen. if w is the width of the pen, which function could they use to represent the area of the pen? a ( w ) = w ( 9 − 2 w ) a ( w ) = w ( 18 − 2 w ) a ( w ) = w ( 9 − w ) a ( w ) = w ( 18 − w )

at least two

step-by-step explanation:

explanation:

step-by-step explanation:

answer-

the equation that models this pattern is

solution-

a researcher placed a petri dish with 32,000 bacterial cells. one hour after being placed in the vacuum chamber, the number of cells in the petri dish had halved. another hour later, the number of cells had again halved.

this can be represented as exponential decreasing function,

where,

putting the values,

y-intercept means, where x=0, so

the coordinate of this poin will be (0, 32000)

this means when x=0 or at the starting of the research, the number of bacteria cells was 32000.

after 3 hours, number of bacteria cells will be,

the   coordinate of this point will be (3, 4000)