Question 18

please help! i need answers!

32 - 3/8y = 3/4y + 5

27 - 3/8y = 6/8y

27 = 9/8y

24 = y

y=24

Step-by-step explanation:

32- 3/8y=3/4y +5 (multiple both sides by the greatest common factor(8))

256-3y= 6y+40( move the y to one side)(remember to change the sign)

256-3y-6y=40 (move the numbers to one side)

-9y=40 -256

-9y=-216 ( multiply by -1 to get a positive y)(remember change both sides)

9y=216

y=24

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.