Materials A and B decay over time. The function for the amount of material A is A(t) = 1000(0.5)^2t and for the amount of material B is
B(t) =
1000(0.25)^t, where t represents time in days. On which day will
the amounts of material be equal?
(1) initial day, only
(3) day 5, only
(2) day 2, only
(4) every day

option 2 is correct.

step-by-step explanation:

we are given two inequality equation

x+y> 5 and -3x+2y< -2

first we draw the graph of both function using t-table method

equation: x+y> 5

for x=0, y=5

for x=-5, y=0

table:

x   :   0     5

y   :   5     0

test point (0,0) , 0> 5

false

equation: -3x+2y< -2

for x=0, y=-1

for x=2, y=4

table:

x   :   0     2

y   : -1       4

test point (0,0) , 0< -2

true

now we draw the graph. see the attachment for graph.

common region would be solution set.

option 2 is correct.

where is the graph? need more info

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