Penelope buys a new fish tank that is shaped like a rectangular prism. The fish tank has a volume of 1,584 cubic inches. The base of the fish tank has an area of 144 square inches. What is the height, in inches, of the fish tank?
a 7.3
b 11.0
C 12.0
d 16.5

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.

y > 1/3x

y < = -x + 4

hope this : )

for this case we have by definition, if two lines are perpendicular, then the product of their slopes is -1.

then, given the following line:

so,

we are looking for m_ {2}:

then, the line is given by:

we find "b" replacing the given point:

finally, the equation is:

option c