Hile walking through a fictional forest, you encounter threetrolls guarding a bridge. each is either aknight, who always tellsthe truth, or knave, who always lies. the trolls will not let youpass until you correctly identify each as either a knight or a knave. each troll makes a single statement: troll 1: if i am a knave, then there are exactly two knights here. troll 2: troll 1 is lying. troll 3: either we are all knaves or at least one of us isa knightwhich troll is?

the balance is found at the link

step-by-step explanation:

the required function is .

step-by-step explanation:

from the given table it is noticed that the graph passing through (-3,7), (0,4), (3,1) and (8,-4).

it is a linear function because the value of y is decrease by one as the value of x increase by 1.

the slope of the function is

the slope of the function is -1 and the y-intercept is 4.

the slope intercept form is

where, m is slope and b is y-intercept.

therefore the required function is . the graph of this function is shown below.

think about it deeply and passionately about this property

i am sorry

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.