60pts!
On Dolphin Beach, the high tide is 1.8 meters and only occurs at 12 a. m. and 12 p. m. The low tide is 0.4 meter and only occurs at 6 a. m. and 6 p. m.

Which function models the height of the tide t hours after 12 a. m.?

h(t)=0.7sin(πt6)+1.1
h(t)=1.1sin(πt3)+0.7
h(t)=0.7cos(πt6)+1.1
h(t)=1.8cos(πt3)+0.4

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.

only 10/60 isn't equivalent

hope this : )

c

step-by-step explanation:

there is vertical asymptote at x = 2 and x = 0

vertical asymptote occurs at the points where the denominator is 0. so we can say that

x = 2 occurs when there is a factor (x-2) in the denominator, and

x = 0 occurs when there is a factor "x" in the denominator

thus, the denominator of the equation would have "x * (x-2)", this is option c only. that's the correct answer.