Aline has the slope of 7 and includes the points (-4,-2) and (-5,k). what is the value of k? k=

If slope ofthe line is m=7, then the equation of the line is

Since line passes through the point (-4,-2), its coordinates satisfy the equation of the line:

The equation of the line is

Point (-5,k) lies on the line, then its coordinates satisfy  the line equation:

k=-9.                                                

i assume that by 5 you mean 5 gallons.

(20)(0.25) = 15

removing 15 gallons reduces the tank from 20 to 5.

b. 6

step-by-step explanation:

we are given the table representing an exponential function.

we can see from the table that, as x is increasing, the value of y is increasing in the power of 6.

i.e. the following relation is obtained,

x = 1, y = 6

x = 2, y = 36 =

x = 3, y = 216 =

x = 4, y = 1296 =

x = 5, y = 7776 =

so, the geometric series obtained is .

thus, the common ratio is given by = = 6.

hence, the common ratio is 6.