Which expression represents the distance between −14.6 and −5.2 on the number line?

9.4

Step-by-step explanation:

We are given that two integers -14.6 and -5.2

We have to find  distance between -14.6 and -5.2.

Difference between =-5.2-(14.6)

Difference=-5.2+14.6=9.4

Distance is the absolute value of 9.4

Therefore,

Distance between -14.6 and -5.2 is 9.4

answer: a and c are correct

step-by-step explanation:

the +5 is the vertical translation

the added negative symbol in front is the reflection over the y-axis

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.